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In this paper we study the structure of the solutions to higher dimensional Dirac type equations generalizing the known λ-hyperholomorphic functions, where λ is a complex parameter. The structure of the solutions to the system of partial differential equations (D- λ) f=0 show a close connection with Bessel functions of first kind with complex argument. The more general system of partial differential equations that is considered in this paper combines Dirac and Euler operators and emphasizes the role of the Bessel functions. However, contrary to the simplest case, one gets now Bessel functions of any arbitrary complex order.
Design activity could be treated as state transition computationally. In stepwise processing, in-between form-states are not easily observed. However, in this research time-based concept is introduced and applied in order to bridge the gap. In architecture, folding is one method of form manipulation and architects also want to search for alternatives by this operation. Besides, folding operation has to be defined and parameterized before time factor is involved as a variable of folding. As a result, time-based transformation provides sequential form states and redirects design activity.
The paper describes a development of the analytical finite strip method (FSM) in displacements for linear elastic static analysis of simply supported at their transverse ends complex orthotropic prismatic shell structures with arbitrary open or closed deformable contour of the cross-section under general external loads. A number of bridge top structures, some roof structures and others are related to the studied class. By longitudinal sections the prismatic thin-walled structure is discretized to a limited number of plane straight strips which are connected continuously at their longitudinal ends to linear joints. As basic unknowns are assumed the three displacements of points from the joint lines and the rotation to these lines. In longitudinal direction of the strips the unknown quantities and external loads are presented by single Fourier series. In transverse direction of each strips the unknown values are expressed by hyperbolic functions presenting an exact solution of the corresponding differential equations of the plane straight strip. The basic equations and relations for the membrane state, for the bending state and for the total state of the finite strip are obtained. The rigidity matrix of the strip in the local and global co-ordinate systems is derived. The basic relations of the structure are given and the general stages of the analytical FSM are traced. For long structures FSM is more efficient than the classic finite element method (FEM), since the problem dimension is reduced by one and the number of unknowns decreases. In comparison with the semi-analytical FSM, the analytical FSM leads to a practically precise solution, especially for wider strips, and provides compatibility of the displacements and internal forces along the longitudinal linear joints.
Skinless architecture
(2003)
Wissenschaftliches Kolloquium vom 24. bis 27. April 2003 in Weimar an der Bauhaus-Universität zum Thema: ‚MediumArchitektur - Zur Krise der Vermittlung'
ON THE NAVIER-STOKES EQUATION WITH FREE CONVECTION IN STRIP DOMAINS AND 3D TRIANGULAR CHANNELS
(2006)
The Navier-Stokes equations and related ones can be treated very elegantly with the quaternionic operator calculus developed in a series of works by K. Guerlebeck, W. Sproeossig and others. This study will be extended in this paper. In order to apply the quaternionic operator calculus to solve these types of boundary value problems fully explicitly, one basically needs to evaluate two types of integral operators: the Teodorescu operator and the quaternionic Bergman projector. While the integral kernel of the Teodorescu transform is universal for all domains, the kernel function of the Bergman projector, called the Bergman kernel, depends on the geometry of the domain. With special variants of quaternionic holomorphic multiperiodic functions we obtain explicit formulas for three dimensional parallel plate channels, rectangular block domains and regular triangular channels. The explicit knowledge of the integral kernels makes it then possible to evaluate the operator equations in order to determine the solutions of the boundary value problem explicitly.
Designing lightings in a 3D-scene is a general complex task for building conception as it is submitted to many constraints such as aesthetics or ergonomics. This is often achieved by experimental trials until reaching an acceptable result. Several rendering softwares (such as Radiance) allow an accurate computation of lighting for each point in a scene, but this is a long process and any modification requires the whole scene to be rendered again to get the result. The first guess is empirical, provided by experience of the operator and rarely submitted to scientific considerations. Our aim is to provide a tool for helping designers to achieve this work in the scope of global illumination. We consider the problem when some data are asked for : on one hand the mean lighting in some zones (for example on a desktop) and on the other hand some qualitative information about location of sources (spotlights on the ceiling, halogens on north wall,...). The system we are conceiving computes the number of light sources, their position and intensities, in order to obtain the lighting effects defined by the user. The algorithms that we use bind together radiosity computations with resolution of a system of constraints.
Das Ziel dieser Arbeit war es, durch Verwendung geeigneter vorhandener CAD-Pläne die Bearbeitung neuer CAD-Pläne zu unterstützen. Entstanden ist ein generischer Ansatz zum fallbasierten Schließens. Da in CAD-Plänen die räumliche Struktur eine wichtige Rolle spielt, ist das Konzept auf strukturorientierte Anwendungen ausgerichtet. Deshalb bezeichne ich es als ein Konzept zum " strukturorientierten fallbasierten Schließen". Die Arbeit spezifiziert das Minimum an Wissen, welches zur Suche und Wiederverwendung von Fällen benötigt wird, wie das darüber hinausgehende Wissen verarbeitet wird, welche Zusammenhänge es zum Beispiel zwischen Vergleichs- und Anpassungswissen gibt und wie man das Wissen modellieren kann. Zur Erläuterung wird das benötigte Wissen anhand verschiedener Anwendungen dargestellt. Das in der Arbeit vorgestellte Konzept erlaubt die Ergänzung, Detaillierung und Korrektur einer Anfrage. Die beiden entscheidenden Algorithmen dienen dem Vergleich von Anfrage und Fall und der Anpassung der Information des Falles zur Modifikation der Anfrage.
In classical complex function theory the geometric mapping property of conformality is closely linked with complex differentiability. In contrast to the planar case, in higher dimensions the set of conformal mappings is only the set of Möbius transformations. Unfortunately, the theory of generalized holomorphic functions (by historical reasons they are called monogenic functions) developed on the basis of Clifford algebras does not cover the set of Möbius transformations in higher dimensions, since Möbius transformations are not monogenic. But on the other side, monogenic functions are hypercomplex differentiable functions and the question arises if from this point of view they can still play a special role for other types of 3D-mappings, for instance, for quasi-conformal ones. On the occasion of the 16th IKM 3D-mapping methods based on the application of Bergman's reproducing kernel approach (BKM) have been discussed. Almost all authors working before that with BKM in the Clifford setting were only concerned with the general algebraic and functional analytic background which allows the explicit determination of the kernel in special situations. The main goal of the abovementioned contribution was the numerical experiment by using a Maple software specially developed for that purpose. Since BKM is only one of a great variety of concrete numerical methods developed for mapping problems, our goal is to present a complete different from BKM approach to 3D-mappings. In fact, it is an extension of ideas of L. V. Kantorovich to the 3-dimensional case by using reduced quaternions and some suitable series of powers of a small parameter. Whereas until now in the Clifford case of BKM the recovering of the mapping function itself and its relation to the monogenic kernel function is still an open problem, this approach avoids such difficulties and leads to an approximation by monogenic polynomials depending on that small parameter.
Designing a structure follows a pattern of creating a structural design concept, executing a finite element analysis and developing a design model. A project was undertaken to create computer support for executing these tasks within a collaborative environment. This study focuses on developing a software architecture that integrates the various structural design aspects into a seamless functional collaboratory that satisfies engineering practice requirements. The collaboratory is to support both homogeneous collaboration i.e. between users operating on the same model and heterogeneous collaboration i.e. between users operating on different model types. Collaboration can take place synchronously or asynchronously, and the information exchange is done either at the granularity of objects or at the granularity of models. The objective is to determine from practicing engineers which configurations they regard as best and what features are essential for working in a collaborative environment. Based on the suggestions of these engineers a specification of a collaboration configuration that satisfies engineering practice requirements will be developed.
Reasonably accurate cost estimation of the structural system is quite desirable at the early stages of the design process of a construction project. However, the numerous interactions among the many cost-variables make the prediction difficult. Artificial neural networks (ANN) and case-based reasoning (CBR) are reported to overcome this difficulty. This paper presents a comparison of CBR and ANN augmented by genetic algorithms (GA) conducted by using spreadsheet simulations. GA was used to determine the optimum weights for the ANN and CBR models. The cost data of twenty-nine actual cases of residential building projects were used as an example application. Two different sets of cases were randomly selected from the data set for training and testing purposes. Prediction rates of 84% in the GA/CBR study and 89% in the GA/ANN study were obtained. The advantages and disadvantages of the two approaches are discussed in the light of the experiments and the findings. It appears that GA/ANN is a more suitable model for this example of cost estimation where the prediction of numerical values is required and only a limited number of cases exist. The integration of GA into CBR and ANN in a spreadsheet format is likely to improve the prediction rates.
Der Begriff der Zuverlässigkeit spielt eine zentrale Rolle bei der Bewertung von Verkehrsnetzen. Aus der Sicht der Nutzer des öffentlichen Personennahverkehrs (ÖPNV) ist eines der wichtigsten Kriterien zur Beurteilung der Qualität des Liniennetzes, ob es möglich ist, mit einer großen Sicherheit das Reiseziel in einer vorgegebenen Zeit zu erreichen. Im Vortrag soll dieser Zuverlässigkeitsbegriff mathematisch gefasst werden. Dabei wird zunächst auf den üblichen Begriff der Zuverlässigkeit eines Netzes im Sinne paarweiser Zusammenhangswahrscheinlichkeiten eingegangen. Dieser Begriff wird erweitert durch die Betrachtung der Zuverlässigkeit unter Einbeziehung einer maximal zulässigen Reisezeit. In vergangenen Arbeiten hat sich die Ring-Radius-Struktur als bewährtes Modell für die theoretische Beschreibung von Verkehrsnetzen erwiesen. Diese Überlegungen sollen nun durch Einbeziehung realer Verkehrsnetzstrukturen erweitert werden. Als konkretes Beispiel dient das Straßenbahnnetz von Krakau. Hier soll insbesondere untersucht werden, welche Auswirkungen ein geplanter Ausbau des Netzes auf die Zuverlässigkeit haben wird. This paper is involved with CIVITAS-CARAVEL project: "Clean and better transport in cites". The project has received research funding from the Community's Sixth Framework Programme. The paper reflects only the author's views and the Community is not liable for any use that may be made of the information contained therein.
Wir betrachten im ÖPNV (Öffentlichen Personennahverkehr) diejenige Situation, daß zwei Bus- oder Straßenbahnlinien gemeinsame Haltestellen haben. Ziel unserer Untersuchungen ist es, für beide Linien einen solchen Fahrplan zu finden, der für die Fahrgäste möglichst viel Bequemlichkeit bietet. Die Bedarfsstruktur - die Anzahl von Personen, die die beiden Linien benutzen - setzt dabei gewisse Beschränkungen für die Taktzeiten der beiden Linien. Die verbleibenden Entscheidungsfreiheiten sollen im Sinne der Zielstellung ausgenutzt werden. Im Vortrag wird folgenden Fragen nachgegangen: - nach welchen Kriterien kann man die "Bequemlichkeit" oder die "Synchonisationsgüte" messen? - wie kann man die einzelnen "Synchronisationsmaße" berechnen ? - wie kann man die verbleibenden Entscheidungsfreiheiten nutzen, um eine möglichst gute Synchronisation zu erreichen ? Die Ergebnisse werden dann auf einige Beispiele angewandt und mit den bereitgestellten Methoden Lösungsvorschläge unterbreitet.
In civil engineering it is very difficult and often expensive to excite constructions such as bridges and buildings with an impulse hammer or shaker. This problem can be avoided with the output-only method as special feature of stochastic system identification. The permanently existing ambient noise (e.g. wind, traffic, waves) is sufficient to excite the structures in their operational conditions. The output-only method is able to estimate the observable part of a state-space-model which contains the dynamic characteristics of the measured mechanical system. Because of the assumption that the ambient excitation is white there is no requirement to measure the input. Another advantage of the output-only method is the possibility to get high detailed models by a special method, called polyreference setup. To pretend the availability of a much larger set of sensors the data from varying sensor locations will be collected. Several successive data sets are recorded with sensors at different locations (moving sensors) and fixed locations (reference sensors). The covariance functions of the reference sensors are bases to normalize the moving sensors. The result of the following subspace-based system identification is a high detailed black-box-model that contains the weighting function including the well-known dynamic parameters eigenfrequencies and mode shapes of the mechanical system. Emphasis of this lecture is the presentation of an extensive damage detection experiment. A 53-year old prestressed concrete tied-arch-bridge in Hünxe (Germany) was deconstructed in 2005. Preliminary numerous vibration measurements were accomplished. The first experiment for system modification was an additional support near the bridge bearing of one main girder. During a further experiment one hanger from one tied arch was cut through as an induced damage. Some first outcomes of the described experiments will be presented.
Due to the amount of flow simulation and measurement data, automatic detection, classification and visualization of features is necessary for an inspection. Therefore, many automated feature detection methods have been developed in recent years. However, only one feature class is visualized afterwards in most cases, and many algorithms have problems in the presence of noise or superposition effects. In contrast, image processing and computer vision have robust methods for feature extraction and computation of derivatives of scalar fields. Furthermore, interpolation and other filter can be analyzed in detail. An application of these methods to vector fields would provide a solid theoretical basis for feature extraction. The authors suggest Clifford algebra as a mathematical framework for this task. Clifford algebra provides a unified notation for scalars and vectors as well as a multiplication of all basis elements. The Clifford product of two vectors provides the complete geometric information of the relative positions of these vectors. Integration of this product results in Clifford correlation and convolution which can be used for template matching of vector fields. For frequency analysis of vector fields and the behavior of vector-valued filters, a Clifford Fourier transform has been derived for 2D and 3D. Convolution and other theorems have been proved, and fast algorithms for the computation of the Clifford Fourier transform exist. Therefore the computation of Clifford convolution can be accelerated by computing it in Clifford Fourier domain. Clifford convolution and Fourier transform can be used for a thorough analysis and subsequent visualization of flow fields.
In this paper an adaptive heterogeneous multiscale model, which couples two substructures with different length scales into one numerical model is introduced for the simulation of damage in concrete. In the presented approach the initiation, propagation and coalescence of microcracks is simulated using a mesoscale model, which explicitly represents the heterogeneous material structure of concrete. The mesoscale model is restricted to the damaged parts of the structure, whereas the undamaged regions are simulated on the macroscale. As a result an adaptive enlargement of the mesoscale model during the simulation is necessary. In the first part of the paper the generation of the heterogeneous mesoscopic structure of concrete, the finite element discretization of the mesoscale model, the applied isotropic damage model and the cohesive zone model are briefly introduced. Furthermore the mesoscale simulation of a uniaxial tension test of a concrete prism is presented and own obtained numerical results are compared to experimental results. The second part is focused on the adaptive heterogeneous multiscale approach. Indicators for the model adaptation and for the coupling between the different numerical models will be introduced. The transfer from the macroscale to the mesoscale and the adaptive enlargement of the mesoscale substructure will be presented in detail. A nonlinear simulation of a realistic structure using an adaptive heterogeneous multiscale model is presented at the end of the paper to show the applicability of the proposed approach to large-scale structures.
Die Liquiditätsplanung von Bauunternehmen XE "Liquiditätsplanung" gilt als ein wesentliches Steuerungs-, Kontroll- sowie Informationsinstrument für interne und externe Adressaten und übt eine Entscheidungsunterstützungsfunktion aus. Da die einzelnen Bauprojekte einen wesentlichen Anteil an den Gesamtkosten des Unternehmens ausmachen, besitzen diese auch einen erheblichen Einfluß auf die Liquidität und die Zahlungsfähigkeit der Bauunternehmung. Dem folgend ist es in der Baupraxis eine übliche Verfahrensweise, die Liquiditätsplanung zuerst projektbezogen zu erstellen und anschließend auf Unternehmensebene zu verdichten. Ziel der Ausführungen ist es, die Zusammenhänge von Arbeitskalkulation XE "Arbeitskalkulation" , Ergebnisrechnung XE "Ergebnisrechnung" und Finanzrechnung XE "Finanzrechnung" in Form eines deterministischen XE "Erklärungsmodells" Planungsmodells auf Projektebene darzustellen. Hierbei soll das Verständnis und die Bedeutung der Verknüpfungen zwischen dem technisch-orientierten Bauablauf und dessen Darstellung im Rechnungs- und Finanzwesen herausgestellt werden. Die Vorgänge aus der Bauabwicklung, das heißt die Abarbeitung der Bauleistungsverzeichnispositionen und deren zeitliche Darstellung in einem Bauzeitenplan sind periodisiert in Größen der Betriebsbuchhaltung (Leistung, Kosten) zu transformieren und anschließend in der Finanzrechnung (Einzahlungen., Auszahlungen) nach Kreditoren und Debitoren aufzuschlüsseln.
We consider efficient numerical methods for the solution of partial differential equations with stochastic coefficients or right hand side. The discretization is performed by the stochastic finite element method (SFEM). Separation of spatial and stochastic variables in the random input data is achieved via a Karhunen-Loève expansion or Wiener's polynomial chaos expansion. We discuss solution strategies for the Galerkin system that take advantage of the special structure of the system matrix. For stochastic coefficients linear in a set of independent random variables we employ Krylov subspace recycling techniques after having decoupled the large SFEM stiffness matrix.
In many branches companies often lose the visibility of their human and technical resources of their field service. On the one hand the people in the fieldservice are often free like kings on the other hand they do not take part of the daily communication in the central office and suffer under the lacking involvement in the decisions inside the central office. The result is inefficiency. Reproaches in both directions follow. With the radio systems and then mobile phones the ditch began to dry up. But the solutions are far from being productive.
HYPERMONOGENIC POLYNOMIALS
(2006)
It is well know that the power function is not monogenic. There are basically two ways to include the power function into the set of solutions: The hypermonogenic functions or holomorphic Cliffordian functions. L. Pernas has found out the dimension of the space of homogenous holomorphic Cliffordian polynomials of degree m, but his approach did not include a basis. It is known that the hypermonogenic functions are included in the space of holomorphic Cliffordian functions. As our main result we show that we can construct a basis for the right module of homogeneous holomorphic Cliffordian polynomials of degree m using hypermonogenic polynomials and their derivatives. To that end we first recall the function spaces of monogenic, hypermonogenic and holomorphic Cliffordian functions and give the results needed in the proof of our main theorem. We list some basic polynomials and their properties for the various function spaces. In particular, we consider recursive formulas, rules of differentiation and properties of linear independency for the polynomials.
Traffic simulation is a valuable tool for the design and evaluation of road networks. Over the years, the level of detail to which urban and freeway traffic can be simulated has increased steadily, shifting from a merely qualitative macroscopic perspective to a very detailed microscopic view, where the behavior of individual vehicles is emulated realistically. With the improvement of behavioral models, however, the computational complexity has also steadily increased, as more and more aspects of real-life traffic have to be considered by the simulation environment. Despite the constant increase in computing power of modern personal computers, microscopic simulation stays computationally expensive, limiting the maximum network size than can be simulated on a single-processor computer in reasonable time. Parallelization can distribute the computing load from a single computer system to a cluster of several computing nodes. To this end, the exisiting simulation framework had to be adapted to allow for a distributed approach. As the simulation is ultimately targeted to be executed in real-time, incorporating real traffic data, only a spatial partition of the simulation was considered, meaning the road network has to be partitioned into subnets of comparable complexity, to ensure a homogenous load balancing. The partition process must also ensure, that the division between subnets does only occur in regions, where no strong interaction between the separated road segments occurs (i.e. not in the direct vicinity of junctions). In this paper, we describe a new microscopic reasoning voting strategy, and discuss in how far the increasing computational costs of these more complex behaviors lend themselves to a parallelized approach. We show the parallel architecture employed, the communication between computing units using MPIJava, and the benefits and pitfalls of adapting a single computer application to be used on a multi-node computing cluster.
The use of process models in the analysis, optimization and simulation of processes has proven to be extremely beneficial in the instances where they could be applied appropriately. However, the Architecture/Engineering/Construction (AEC) industries present unique challenges that complicate the modeling of their processes. A simple Engineering process model, based on the specification of Tasks, Datasets, Persons and Tools, and certain relations between them, have been developed, and its advantages over conventional techniques have been illustrated. Graph theory is used as the mathematical foundation mapping Tasks, Datasets, Persons and Tools to vertices and the relations between them to edges forming a directed graph. The acceptance of process modeling in AEC industries not only depends on the results it can provide, but the ease at which these results can be attained. Specifying a complex AEC process model is a dynamic exercise that is characterized by many modifications over the process model's lifespan. This article looks at reducing specification complexity, reducing the probability for erroneous input and allowing consistent model modification. Furthermore, the problem of resource leveling is discussed. Engineering projects are often executed with limited resources and determining the impact of such restrictions on the sequence of Tasks is important. Resource Leveling concerns itself with these restrictions caused by limited resources. This article looks at using Task shifting strategies to find a near-optimal sequence of Tasks that guarantees consistent Dataset evolution while resolving resource restrictions.
In this paper we consider three different methods for generating monogenic functions. The first one is related to Fueter's well known approach to the generation of monogenic quaternion-valued functions by means of holomorphic functions, the second one is based on the solution of hypercomplex differential equations and finally the third one is a direct series approach, based on the use of special homogeneous polynomials. We illustrate the theory by generating three different exponential functions and discuss some of their properties. Formula que se usa em preprints e artigos da nossa UI&D (acho demasiado completo): Partially supported by the R\&D unit \emph{Matem\'atica a Aplica\c\~es} (UIMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT), co-financed by the European Community fund FEDER.
We establish the basis of a discrete function theory starting with a Fischer decomposition for difference Dirac operators. Discrete versions of homogeneous polynomials, Euler and Gamma operators are obtained. As a consequence we obtain a Fischer decomposition for the discrete Laplacian. For the sake of simplicity we consider in the first part only Dirac operators which contain only forward or backward finite differences. Of course, these Dirac operators do not factorize the classic discrete Laplacian. Therefore, we will consider a different definition of a difference Dirac operator in the quaternionic case which do factorizes the discrete Laplacian.
LIFETIME-ORIENTED OPTIMIZATION OF BRIDGE TIE RODS EXPOSED TO VORTEX-INDUCED ACROSS-WIND VIBRATIONS
(2006)
In recent years, damages in welded connections plates of vertical tie rods of several arched steel bridges have been reported. These damages are due to fatigue caused by wind-induced vibrations. In the present study, such phenomena are examined, and the corresponding lifetime of a reference bridge in Münster-Hiltrup, Germany, is estimated, based on the actual shape of the connection plate. Also, the results obtained are compared to the expected lifetime of a connection plate, whose geometry has been optimized separately. The structural optimization, focussing on the shape of the cut at the hanger ends, has been carried out using evolution strategies. The oscillation amplitudes have been computed by means of the Newmark-Wilson time-step method, using an appropriate load model, which has been validated by on-site experiments on the selected reference bridge. Corresponding stress-amplitudes are evaluated by multiplying the oscillation amplitudes with a stress concentration factor. This factor has been computed on the basis of a finite element model of the system "hanger-welding-connection plate", applying solid elements, according to the notch stress approach. The damage estimation takes into account the stochastics of the exciting wind process, as well as the stochastics of the material parameters (fatigue strength) given in terms of Woehler-curves. The shape optimization results in a substantial increase of the estimated hanger lifetime. The comparison of the lifetimes of the bulk plate and of the welding revealed that, in the optimized structure, the welding, being the most sensitive part in the original structure, shows much more resistance against potential damages than the bulk material.
The mathematical and technical foundations of optimization have been developed to a large extent. In the design of buildings, however, optimization is rarely applied because of insufficient adaptation of this method to the needs of building design. The use of design optimization requires the consideration of all relevant objectives in an interactive and multidisciplinary process. Disciplines such as structural, light, and thermal engineering, architecture, and economics impose various objectives on the design. A good solution calls for a compromise between these often contradictory objectives. This presentation outlines a method for the application of Multidisciplinary Design Optimization (MDO) as a tool for the designing of buildings. An optimization model is established considering the fact that in building design the non-numerical aspects are of major importance than in other engineering disciplines. A component-based decomposition enables the designer to manage the non-numerical aspects in an interactive design optimization process. A façade example demonstrates a way how the different disciplines interact and how the components integrate the disciplines in one optimization model. In this grid-based façade example, the materials switch between a discrete number of materials and construction types. For light and thermal engineering, architecture, and economics, analysis functions calculate the performance; utility functions serve as an important means for the evaluation since not every increase or decrease of a physical value improves the design. For experimental purposes, a genetic algorithm applied to the exemplary model demonstrates the use of optimization in this design case. A component-based representation first serves to manage non-numerical characteristics such as aesthetics. Furthermore, it complies with usual fabrication methods in building design and with object-oriented data handling in CAD. Therefore, components provide an important basis for an interactive MDO process in building design.
We propose a new approach to the numerical solution of quasi-static elastic-plastic problems based on the Moreau-Yosida theorem. After the time discretization, the problem is expressed as an energy minimization problem for unknown displacement and plastic strain fields. The dependency of the minimization functional on the displacement is smooth whereas the dependency on the plastic strain is non-smooth. Besides, there exists an explicit formula, how to calculate the plastic strain from a given displacement field. This allows us to reformulate the original problem as a minimization problem in the displacement only. Using the Moreau-Yosida theorem from the convex analysis, the minimization functional in the displacements turns out to be Frechet-differentiable, although the hidden dependency on the plastic strain is non-differentiable. The seconds derivative exists everywhere apart from the elastic-plastic interface dividing elastic and plastic zones of the continuum. This motivates to implement a Newton-like method, which converges super-linearly as can be observed in our numerical experiments.
RESEARCH OF DEFORMATION OF MULTILAYERED PLATES ON UNDEFORMABLE BASIS BY UNFLEXURAL SPECIFIED MODEL
(2006)
Stress-strain state (SSS) of multilayered plates on undeformable foundation is investigated. The settlement circuit of transverse loaded plate is formed by symmetrical attaching of a plate concerning a surface of contact to the foundation. The plate of the double thickness becomes bilateral symmetrically loaded concerning its median surface. It allows to model only unflexural deformation that reduces amount of unknown and the general order of differentiation of resolving system of the equations. The developed refined continual model takes into account deformations of transverse shear and transverse compression in high iterative approximation. Rigid contact between the foundation and a plate, and also shear without friction on a surface of contact of a plate with the foundation is considered. Calculations confirm efficiency of such approach, allowing to receive decisions which is qualitative and quantitatively close to three-dimensional solutions.
Ausgehend von den fundierten Erfahrungen, die für das Schweißen von verschiedensten Metallen vorliegen, wird an der Professur Stahlbau der Bauhaus-Universität Weimar ein neuartiges Verfahren zum CO2-Laserstrahlschweißen von Quarzglas numerisch untersucht. Dabei kommt die kommerzielle FE-Software SYSWELD® zum Einsatz. Die erforderlichen Versuche werden in Zusammenarbeit mit dem Institut für Fügetechnik und Werkstoffprüfung GmbH aus Jena realisiert. Die numerische Analyse wird eingesetzt, um geeignete Prozessparameter zu bestimmen und deren Auswirkungen auf die transienten thermischen und mechanischen Vorgänge, die während des Schweißvorgangs ablaufen abzubilden. Um die aus der Simulation erhaltenen Aussagen zu überprüfen, ist es erforderlich, das Berechnungsmodell mittels Daten aus Versuchsschweißungen zu kalibrieren. Dabei sind die verwendeten Materialmodelle sowie die der Simulation zugrunde gelegten Materialkennwerte zu validieren. Es stehen verschiedene rheologische Berechnungsmodelle zur Auswahl, die die viskosen Materialeigenschaften des Glases abbilden. Dabei werden die drei mechanischen Grundelemente, die HOOKEsche Feder, der NEWTONsche Dämpfungszylinder und das ST.-VENANT-Element miteinander kombiniert. Die Möglichkeit, thermische und mechanische Vorgänge innerhalb des Glases während des Schweißvorgangs und nach vollständiger Abkühlung, vorhersagen zu können, gestattet es den Schweißvorgang über eine Optimierung der Verfahrensparameter gezielt dahingehend zu beeinflussen, die Wirtschaftlichkeit des Schweißverfahrens zu verbessern, und ein zuverlässiges Schweißergebnis zu erhalten. Dabei können auch nur unter hohem experimentellen Aufwand durchführbare Versuche simuliert werden, um eine Vorhersage zu treffen, ob es zweckmäßig ist, den Versuch auch in der Praxis zu fahren. Dies führt zu einer Reduzierung des experimentellen Aufwandes und damit zu einer Verkürzung des Entwicklungszeitraumes für das angestrebte Verfahren.
Solid behavior as well as liquid behavior characterizes the flow of granular material in silos. The presented model is based on an appropriate interaction of a displacement field and a velocity field. The constitutive equations and the applied algorithm are developed from the exact solution for a standard case. The standard case evolves from a very tall vertical plane strain silo containing material that flows at a constant speed. No horizontal displacements and velocities take place. No changes regarding the field values arise in the vertical direction and in time. Tension is not allowed at any point. Coulomb friction represents the effects of the vertical walls. The interaction between the flowing material and the walls is covered by a forced boundary condition resulting in an additional matrix for the solid component as well as for the liquid component. The resulting integral equations are designed to be solved directly. Three coefficients describe the properties of the granular material. They govern elastic solid behavior in combination with viscous liquid behavior.
Der Entwurf einfacher Konstruktionen stellt für den Tragwerksplaner zumeist eine Routineaufgabe dar. Üblicherweise werden Statik, Zeichnungen sowie Elementelisten separat voneinander erstellt. Das Programmsystem ICAD bietet die Möglichkeit, diese Arbeiten in einer Bearbeitungsstufe durchzuführen. Die Programmierung der Bemessung, Darstellung und Auswertung von Bauteilen wird mit dem Editor Emacs vorgenommen, die grafische Umsetzung des compilierten Quelltextes erfolgt im ICAD-Browser. Innerhalb dieser Benutzeroberfläche steht eine Reihe von Werkzeugen für die Eingabe und Visualisierung von Daten zur Verfügung. Betrachtet man die zu bearbeitenden Bauteile und Anschlüsse als bekannte Konstruktionen des Ingenieurholzbaus, für die es eine festgelegte Anzahl von Abmessungen und Kennwerten gibt, so läßt sich jede dieser Konstruktionen als eigenständiger Modul programmieren. Der Tragwerksplaner ist somit in der Lage, aus einem Katalog an Bauteilen und Anschlüssen die Gesamtkonstruktion zusammenzustellen. Allgemeingültige Kennwerte, Berechnungsverfahren und häufig verwendete Unterprogramme stehen modular als Wissensbasis zur Verfügung und werden von den einzelnen Tragelementen bedarfsgerecht eingebunden. Eine weitere Möglichkeit der wissensbasierten Tragwerksplanung stellt die sogenannte Multi-Criteria-Analyse dar. Bei diesem Verfahren nimmt das Programm selbständig eine Entscheidungsfindung für eine oder mehrere günstige Konstruktionslösungen vor. Dazu sind lediglich Wichtungen verschiedener Randbedingungen durch den Anwender erforderlich.
Adopting the European laws concerning environmental protection will require sustained efforts of the authorities and communities from Romania; implementing modern solutions will become a fast and effective option for the improvement of the functioning systems, in order to prevent disasters. As a part of the urban infrastructure, the drainage networks of pluvial and residual waters are included in the plan of promoting the systems which protect the environmental quality, with the purpose of integrated and adaptive management. The paper presents a distributed control system for sewer network of Iasi town. Unsatisfactory technical state of the actual sewer system is exposed, focusing on objectives related to implementation of the control system. The proposed distributed control system of Iasi drainage network is based on the implementation of the hierarchic control theory for diagnose, sewer planning and management. There are proposed two control levels: coordinating and local execution. Configuration of the distributed control system, including data acquisition and conversion equipment, interface characteristics, local data bus, data communication network, station configuration are widely described. The project wish to be an useful instrument for the local authorities in the preventing and reducing the impact of future natural disasters over the urban areas by means of modern technologies.
Der Fokus des Projektes liegt auf einer besseren Unterstützung der kooperativen Aspekte im Bauwerksentwurf und der Anwendung von ComponentWare-Techniken in der Architektur des Entwurfssystems. Es muß festgestellt werden, daß die Kooperation der Beteiligten im Entwurfsprozeß von Bauwerken durch die heute praktizierten Datenaustauschverfahren nicht oder nur unbefriedigend unterstützt wird und das keine Lösung dieses Problems durch die Weiterentwicklung von filebasierten Datenaustauschformaten zu erwarten ist. Im Rahmen des Projektes wird mit einer CORBA-Umgebung für Smalltalk-80 ein verteilbares Objektsystem realisiert. Als Architektur des Systems wurde eine hybride Herangehensweise gewählt, bei der allgemeine Informationen auf einem zentralen Server verwaltet werden und die eigentlichen Projektinformationen bei Bedarf repliziert werden. Wie allgemein in GroupWare - orientierten Systemen notwendig, müssen effektive Mechanismen der Nebenläufigkeitskontrolle und zur Sperrung bestimmter Modellbereiche realisiert werden. Wichtig ist für kooperative Entwurfssysteme die Systemunterstützung der Beseitigung der Folgen von kollidierenden Entwurfsintensionen durch die Bearbeiter. Dazu werden unter anderem Remote-Pointer-Mechanismen realisiert. In Abhängigkeit von der Rolle eines Bearbeiters werden diesem Sichten auf des Objektmodell (Partialmodelle) zugeordnet. Es werden Mechanismen zur Autorisierung des Zugriffs auf Partialmodelle implementiert, zu diesem Zweck erfolgt eine Nutzerauthentifizierung. Beziehungen zwischen Partialmodellen werden durch eine spezielle Relation im Objektsystem abgebildet. Die Konzeption des Objektsystems lehnt sich an die PREPLAN-Philosophie an. Das impliziert die Unterstützung von Entwurfshandlungen sowohl in Bottom-Up- als auch in Top-Down - Richtung. Benutzer können das Objektsystem um eigene Klassen erweitern bzw. existierende Klassen modifizieren und Attribute mit Defaultwerten belegen, um das System inkrementell mit Domänenwissen anreichern zu können. Von großer Bedeutung für kooperative Entwurfssysteme sind eine Versionsverwaltung und die Bereitstellung von Undo - und Redo - Mechanismen. Es ist möglich, multimediale Daten im Objektmodell abzulegen und diese in Abhängigkeit von ihrem Format wiederzugeben bzw. zu bearbeiten. Das beschriebene System befindet sich derzeit in der Implementierung.
Entwurfsprozesse im Bauwesen sind hochgradig kooperative Prozesse mit alternierenden Phasen asynchroner und synchroner Teamarbeit. Die Informationen über den aktuellen Entwurfsgegenstand können als Objektstrukturen modelliert werden, die in entsprechenden Modellverwaltungssystemen gespeichert werden. Bei der Realisierung von kooperativ nutzbaren Umgebungen für den Bauwerksentwurf sind jedoch bei der Auswahl von Basistechniken spezifische Anforderungen von CSCW-Applikationen zu beachten, die bestimmte traditionelle Verfahren nicht erfüllen. Neben verschiedenen Auswirkungen auf das Interaktionsverhalten der Entwurfsumgebung spielt die cooperation awareness der eingesetzten Mechanismen eine bedeutende Rolle. Mechanismen zur Zugriffskontrolle sind in netzwerkbasierten Mehrbenutzerumgebungen essentiell, jedoch sind herkömmliche Verfahren zu unflexibel und nicht hinreichend ausdrucksstark. Eine adaptierte und erweiterte Variante des Matrixverfahrens ist für die Anwendung in Modellverwaltungssystemen geeignet. Ebenso muss bei der Auswahl von Mechanismen zur Nebenläufigkeitskontrolle Augenmerk auf dessen Eignung in Groupware-Systemen gelegt werden. Bei der Unterstützung asynchroner Kooperation können Lock-Verfahren auf die Informationen in Modellverwaltungssystemen angewandt werden. Für die Applikationen für synchrone Teamarbeit müssen derartige Mechanismen auf die gemeinsamen Informationsbestände sowie auf Systemressourcen der Entwurfsumgebung angewendet werden. Hierfür sind floor-passing'-Verfahren geeignet; die Anwendbarkeit von Transformationsverfahren sollte für die konkret umzusetzende Applikation geprüft werden.
Für eine beherrschbare Koordination und Durchführung von Planungsaufgaben in Bauprojekten wird der Planungsprozess zunehmend in formalisierten Modellen – Prozessmodellen – beschrieben. Die Produktmodellforschung ihrerseits widmet sich der Speicherung von Planungsdaten in Form von objektorientierten Modellen im Rechner. Hauptaugenmerk sind dabei die Wahrung der Konsistenz und die Modellierung von Abhängigkeiten innerhalb dieses Planungsmaterials. Der Bezug zu den Akteuren der Planung wird nicht direkt hergestellt. Ein formal beschriebener Planungsprozesses kann in der Praxis noch nicht derart realisiert werden, dass ein Zugriff auf Einzelobjekte des Planungsprozesses gewährleistet ist. Bestehende Planungsunterstützungs- und Workflowmanagement-Systeme abstrahieren und ordnen das Planungsmaterial nach wie vor auf Dateiebene. Der vorliegende Artikel beschreibt eine Methode für die geeignete Verbindung von formalisierten Prozessmodellen in der Bauplanung mit den Einzelobjekten, die in den modellorientierten Objektmengen kodiert sind. Dabei wird die Zugehörigkeit bestimmter Objekte zu Plänen und Dokumenten (zum Zwecke des Datenaustauschs) nicht länger durch die physische Zuordnung zu Dateien festgelegt. Es wird ein formales Beschreibungsmittel vorgestellt, welches die entsprechende Teilmengenbildung aus der Gesamtheit der Planungsobjekte ermöglicht. Für die bisherigen Formen des Datenaustausches werden aus den Objektmodellen der Planung Teilmengen herausgelöst und physikalisch zwischen den Planern transportiert. Das neue Beschreibungsmittel hingegen erlaubt es, die Bildungsvorschrift für Objektteilmengen statt der Mengen selbst zwischen den Planern auszutauschen. Der Zugriff auf die konkreten Objekte findet dann direkt modellbasiert statt.
Usually, the co-ordination of design and planning tasks of a project in the construction industries is done in a paper based way. Subsequent modifications have to be handled manually. The effects of modifications cannot be determined automatically. The approach to specify a complete process model before project start does not consider the requirements of the construction industries. The effort of specification at the beginning and during the process (modifications) does not justify the use of standard process model techniques. A new approach is presented in the according paper. A complete process model is deducted on the basis of a core. The core consists of process elements and specific relations between them. Modifications need to be specified in the core only. The effort of specification is therefore reduced. The deduction of the complete process is based on the graph theory. Algorithms of the graph theory are also used to determine the effects of modifications during project work.
DECENTRALIZED APPROACHES TO ADAPTIVE TRAFFIC CONTROL AND AN EXTENDED LEVEL OF SERVICE CONCEPT
(2006)
Traffic systems are highly complex multi-component systems suffering from instabilities and non-linear dynamics, including chaos. This is caused by the non-linearity of interactions, delays, and fluctuations, which can trigger phenomena such as stop-and-go waves, noise-induced breakdowns, or slower-is-faster effects. The recently upcoming information and communication technologies (ICT) promise new solutions leading from the classical, centralized control to decentralized approaches in the sense of collective (swarm) intelligence and ad hoc networks. An interesting application field is adaptive, self-organized traffic control in urban road networks. We present control principles that allow one to reach a self-organized synchronization of traffic lights. Furthermore, vehicles will become automatic traffic state detection, data management, and communication centers when forming ad hoc networks through inter-vehicle communication (IVC). We discuss the mechanisms and the efficiency of message propagation on freeways by short-range communication. Our main focus is on future adaptive cruise control systems (ACC), which will not only increase the comfort and safety of car passengers, but also enhance the stability of traffic flows and the capacity of the road (“traffic assistance”). We present an automated driving strategy that adapts the operation mode of an ACC system to the autonomously detected, local traffic situation. The impact on the traffic dynamics is investigated by means of a multi-lane microscopic traffic simulation. The simulation scenarios illustrate the efficiency of the proposed driving strategy. Already an ACC equipment level of 10% improves the traffic flow quality and reduces the travel times for the drivers drastically due to delaying or preventing a breakdown of the traffic flow. For the evaluation of the resulting traffic quality, we have recently developed an extended level of service concept (ELOS). We demonstrate our concept on the basis of travel times as the most important variable for a user-oriented quality of service.
The concrete is modeled as a material with damage and plasticity, whereat the viscoplastic and the viscoelastic behaviour depends on the rate of the total strains. Due to the damage behaviour the compliance tensor develops different properties in tension and compression. There have been tested various yield surfaces and flow rules, damage rules respectively to their usability in a concrete model. One three-dimensional yield surface was developed from a failure surface based on the Willam--Warnke five-parameter model by the author. Only one general uni-axial stress-strain-relation is used for the numeric control of the yield surface. From that curve all necessary parameters for different strengths of concrete and different strain rates can be derived by affine transformations. For the flow rule in the compression zone a non associated inelastic potential is used, in the tension zone a Rankine potential. Conditional on the time-dependent formulation, the symmetry of the system equations is maintained in spite of the usage of non-associated potentials for the derivation of the inelastic strains. In case of quasi statical computations a simple viscoplastic law is used that is rested on an approach to Perzyna. The principle of equality of dissipation power in the uni-axial and the three-axial state of stress is used. It is modified by a factor that depends on the actual stress ratio and in comparison with the Kupfer experiments it implicates strains that are more realistic. The implementation of the concrete model is conducted in a mixed hybrid finite element. Examples in the structural level are introduced for verification of the concrete model.
In the final decades many scientists were occupied intensively with the change of materials during a process and their mathematical descriptions. The extensive and extensive analyses were supported by the advanced computer science. A mathematical description of the phase transformation is a condition for a realistic FE simulation of the state of microstructure. It is possible to simulate the temperature and stress field also in complex construction based on the state of microstructure. In the last years a great number of mathematical models were expanded to describe the transformation between different phases. For the development of the models for transformation kinetics it is practical to subdivide into isothermal and non-isothermal processes according to the thermal conditions. Some models for the description of the transformation with non-isothermal processes represent extensions for isothermal of processes. A part of parameters for the describing equations can be derived from the time-temperature-transformation diagrams in the literature. Furthermore the two possibilities of transformation are considered by different models - diffusion controlled and not diffusion controlled. The material-specific characteristics can be simulated during the transformation for each individual phase in a realistic FE analyses. Also new materials can be simulated after a modification of the parameters in the describing equations for the phase transformation. The effects in the temperature and stress field are a substantial reason for the investigation of the phase transformation during the welding and TIG-dressing processes.
Summer overheating in buildings is a common problem, especially in office buildings with large glazed facades, high internal loads and low thermal mass. Phase change materials (PCM) that undergo a phase transition in the temperature range of thermal comfort can add thermal mass without increasing the structural load of the building. The investigated PCM were micro-encapsulated and mixed into gypsum plaster. The experiments showed a reduction of indoor-temperature of up to 4 K when using a 3 cm layer of PCM-plaster with micro-encapsulated paraffin. The measurement results could validate a numerical model that is based on a temperature dependent function for heat capacity. Thermal building simulation showed that a 3 cm layer of PCM-plaster can help to fulfil German regulations concerning heat protection of buildings in summer for most office rooms.
In Bauplanungssystemen können XML-Technologien in vielen Bereichen eingesetzt werden mit dem Ziel, diese Systeme modular und webfähig zu gestalten. Der Einsatz lohnt als Basis-Datenstruktur für verschiedene rechnerinterne Modelle, Steuerungsstruktur für Customizing von Anwendungen, Bindeglied zwischen objektbasierten Systemen, Kommunikationsprotokoll zwischen Komponenten. Es ist möglich, komplexe Objekte aus dem Planungsalltag mittels XML arzustellen, zu speichern und zu verarbeiten. Es ist möglich, entsprechende Komponenten im Netz zu verteilen bzw. über Internet zu verbinden. Die heute dominierende Sicht auf XML als Austauschmedium wird ergänzt um die Idee eines XML-basierten Systems: Entwurfsobjekte können als >XML-Objekte< formuliert und im Sinne eines late binding verwendet werden.
Informationstechnische Integration im Bauwesen durch Nutzung fachspezifischen Anwenderwissens
(1997)
Im vorliegenden Beitrag wird ein Integrationskonzept vorgestellt, bei dem das fachspezifische Wissen des Anwenders integraler Bestandteil des Konzeptes ist. Grundgedanke des Konzeptes ist es, die Informationen vorerst im Kontext der Anwendung, mit der sie erstellt wurden, zu belassen. Die Interpretation der Informationen erfolgt durch den Anwender, der diese Informationen zur Integration nutzen möchte. Er weiß, welche Daten er für seine Arbeiten benötigt, und er verfügt über das erforderliche fachspezifische Wissen, um die Informationen anderer Bearbeiter verstehen zu können. Damit ist es nicht erforderlich, die internen Datenstrukturen einer Software zu verstehen und in einem neutralen Format zu beschreiben. Die Integration erfolgt interaktiv am Bildschirm durch den Anwender. Das vorgestellt Konzept wird in den Kontext der in der Literatur beschriebenen Integrationskonzepte eingegliedert. Hierzu werden die Integrationskonzepte klassifiziert. Die Klassifikation erfolgt auf der Grundlage der Software-Architekturen. Das vorgestellte Integrationskonzept wird am Beispiel der Angebotsbearbeitung im Bauwesen konkretisiert.
Digital models of buildings are widely used in civil engineering. In these models, geometric information is used as leading information. Engineers are used to have geometric information, and, for instance, it is state of the art to specify a point by its three coordinates. However, the traditional approaches have disadvantages. Geometric information is over-determined. Thus, more geometric information is specified and stored than needed. In addition, engineers already deal with topological information. A denotation of objects in buildings is of topological nature. It has to be answered whether approaches where topological information becomes a leading role would be more efficient in civil engineering. This paper presents such an approach. Topological information is modelled independently of geometric information. It is used for denoting the objects of a building. Geometric information is associated to topological information so that geometric information “weights” a topology.
The concept presented in this paper has already been used in surveying existing buildings. Experiences in the use of this concept showed that the number of geometric information that is required for a complete specification of a building could be reduced by a factor up to 100. Further research will show how this concept can be used in planning processes.
Advanced finite elements are proposed for the mechanical analysis of heterogeneous materials. The approximation quality of these finite elements can be controlled by a variable order of B-spline shape functions. An element-based formulation is developed such that the finite element problem can iteratively be solved without storing a global stiffness matrix. This memory saving allows for an essential increase of problem size. The heterogeneous material is modelled by projection onto a uniform, orthogonal grid of elements. Conventional, strictly grid-based finite element models show severe oscillating defects in the stress solutions at material interfaces. This problem is cured by the extension to multiphase finite elements. This concept enables to define a heterogeneous material distribution within the finite element. This is possible by a variable number of integration points to each of which individual material properties can be assigned. Based on an interpolation of material properties at nodes and further smooth interpolation within the finite elements, a continuous material function is established. With both, continuous B-spline shape function and continuous material function, also the stress solution will be continuous in the domain. The inaccuracy implied by the continuous material field is by far less defective than the prior oscillating behaviour of stresses. One- and two-dimensional numerical examples are presented.
The present paper is part of a comprehensive approach of grid-based modelling. This approach includes geometrical modelling by pixel or voxel models, advanced multiphase B-spline finite elements of variable order and fast iterative solver methods based on the multigrid method. So far, we have only presented these grid-based methods in connection with linear elastic analysis of heterogeneous materials. Damage simulation demands further considerations. The direct stress solution of standard bilinear finite elements is severly defective, especially along material interfaces. Besides achieving objective constitutive modelling, various nonlocal formulations are applied to improve the stress solution. Such a corrective data processing can either refer to input data in terms of Young's modulus or to the attained finite element stress solution, as well as to a combination of both. A damage-controlled sequentially linear analysis is applied in connection with an isotropic damage law. Essentially by a high resolution of the heterogeneous solid, local isotropic damage on the material subscale allows to simulate complex damage topologies such as cracks. Therefore anisotropic degradation of a material sample can be simulated. Based on an effectively secantial global stiffness the analysis is numerically stable. The iteration step size is controlled for an adequate simulation of the damage path. This requires many steps, but in the iterative solution process each new step starts with the solution of the prior step. Therefore this method is quite effective. The present paper provides an introduction of the proposed concept for a stable simulation of damage in heterogeneous solids.
A fast solver method called the multigrid preconditioned conjugate gradient method is proposed for the mechanical analysis of heterogeneous materials on the mesoscale. Even small samples of a heterogeneous material such as concrete show a complex geometry of different phases. These materials can be modelled by projection onto a uniform, orthogonal grid of elements. As one major problem the possible resolution of the concrete specimen is generally restricted due to (a) computation times and even more critical (b) memory demand. Iterative solvers can be based on a local element-based formulation while orthogonal grids consist of geometrical identical elements. The element-based formulation is short and transparent, and therefore efficient in implementation. A variation of the material properties in elements or integration points is possible. The multigrid method is a fast iterative solver method, where ideally the computational effort only increases linear with problem size. This is an optimal property which is almost reached in the implementation presented here. In fact no other method is known which scales better than linear. Therefore the multigrid method gains in importance the larger the problem becomes. But for heterogeneous models with very large ratios of Young's moduli the multigrid method considerably slows down by a constant factor. Such large ratios occur in certain heterogeneous solids, as well as in the damage analysis of solids. As solution to this problem the multigrid preconditioned conjugate gradient method is proposed. A benchmark highlights the multigrid preconditioned conjugate gradient method as the method of choice for very large ratio's of Young's modulus. A proposed modified multigrid cycle shows good results, in the application as stand-alone solver or as preconditioner.
Mit diesen Ausführungen wird ein Beitrag zum weiteren Erhalt der historischen Bausubstanz in Mecklenburg aus der Sicht der Tragwerksanalyse geleistet. Dabei bestätigt es sich immer mehr, dass mit dem Modell der Geometrie, der Belastung und des Materials gleichberechtigte Modelle für eine wirklichkeitsnahe Einschätzung des Tragverhaltens eines Tragwerks vorliegen müssen. Es zeigt sich, dass dabei die besten Berechnungsprogramme nur die Ergebnisse liefern können, die mit den Eingabedaten zu erzielen sind. So hat sich der Forschungsschwerpunkt im Lehrgebiet Tragwerkslehre des FB Architektur an der Hochschule Wismar in den letzten Jahren auf die realistische Abbildung der Wechselwirkung zwischen der Bauaufnahme und der geometrischen Modellierung konzentriert. In diesem Bereich zeigen sich als Schwerpunkte die Wechselwirkung zwischen Schäden und Tragwerksanalyse und die Wechselwirkung zwischen der aufgenommenen Geometrie und dem geometrischen Modell für die Tragwerksanalyse. Die Fülle der aufgenommenen Daten sind dabei in der Regel mehr hinderlich als ein Segen für die Tragwerksanalyse. Hier wurde gezeigt, welche und wie viele geometrische Daten für das geometrische Modell für die Tragwerksanalyse sinnvoll sind. Da die eigene Datenaufnahme relativ viel Zeit beansprucht, wurde eine "geistige" Bauaufnahme durchgeführt. Dazu wird der historische Planungsprozess in den einzelnen Formfindungsschritten nachvollzogen und in die virtuelle Realität überführt. Mit dieser Methode ergeben sich unterschiedliche Bauzustände und es lassen sich auch mögliche Bauphasen abbilden. Die Tragwerksanalyse dieser virtuellen Realität zeigt dann mögliche Schwächen der Tragwerke und/oder die Notwendigkeit konstruktiver Veränderungen. Ein Vergleich der Ergebnisse der Tragwerksanalyse mit der Realität anhand des vorliegenden Datenbestands liefert die Grundlage für den aktuellen Handlungsbedarf. Da der Bauzustand eines Bauwerkes unter einer zeitlichen Veränderung steht, werden Methoden überprüft, die es ermöglichen, einen einmal vorgelegten Datenbestand aufzubereiten und weiter zu verwalten.
The design of challenging space structures frequently relies on the theory of folded plates. The models are composed of plane facets of which the bending and membrane stiffness are coupled along the folds. In conventional finite element analysis of faceted structures the continuity of the displacement field is enforced exclusively at the nodes. Since approximate solutions for transverse and for in-plane displacements are not members of the same function space, separation occurs in between the common nodes of adjacent elements. It is shown that the kinematic assumptions of Bernoulli are accounted for this incompatibility along the edges in facet models. A general answer to this problem involves substantial modification of plate and membrane theory, but a straight forward formulation can be derived for simply folded plates, structures, whose folds do not intersect. A broad class of faceted structures, including models of various curved shells, belong to this category and can be calculated consistently. The additional requirements to assure continuity concern the mapping of displacement derivatives on the edges. An appropriate finite facet element provides node and edge-oriented degrees of freedom, whose transformation to system degrees of freedom, depends on the geometric configuration at each node. The concept is implemented using conform triangular elements. To evaluate the new approach, the energy norm of representative structures for refined meshes is calculated. The focus is placed on the mathematical convergence towards reliable solutions obtained from finite volume models.
Der Beitrag basiert auf den Ansätzen und Ergebnissen des Forschungsprojekts >Prozessorientierte Vernetzung von Ingenieurplanungen am Beispiel der Geotechnik<, das im Rahmen des Schwerpunktprogramms 1103 >Vernetzt-kooperative Planungsprozesse im Konstruktiven Ingenieurbau< von der DFG gefördert wird. Ziel des gemeinsam mit dem Institut für Numerische Methoden und Informatik im Bauwesen an der TU Darmstadt durchgeführten Forschungsprojekts ist die Entwicklung einer netzwerkbasierten Kooperationsplattform zur Unterstützung von geotechnischen Ingenieurplanungen. Daher konzentriert sich das Forschungsprojekt auf die Abbildung und Koordination der Planungsprozesse für Projekte des Konstruktiven Ingenieurbaus vor dem Hintergrund der stark arbeitsteiligen Projektbearbeitung in einer verteilten Rechnerumgebung. Der Beitrag stellt die Abstraktion von Prozessmustern im Bauplanungsprozess als Basis für die dynamische Prozessmodellierung in einem Kooperationsmodell dar. Ziel ist es, durch die Identifikation der mit dem Entwurf und der Dimensionierung eines Bauteils verbundenen Planungs- und Abstimmungsprozesse einen bauteilbezogenen Katalog von Prozessmustern zu abstrahieren. Die einzelnen Prozessmuster werden in jedem Bauplanungsprozess dynamisch über geeignete Kopplungsmechanismen in das aktuelle Prozessmodell integriert, so dass die für den Bauplanungsprozess typischen Veränderungen der Konstruktion und der Zusammensetzung des Planungsteams im Prozessmodell berücksichtigt werden können. Dazu werden im Beitrag die bisherigen Ergebnisse der Analyse des Planungsprozesses eines großen innerstädtischen Bauvorhabens, das als Referenzobjekt dient, sowie typischer Planungsszenarien in der Geotechnik vorgestellt. Anschließend werden Grundlagen und methodische Ansätze zur Modellierung von Prozessen mit der Methode der farbigen Petri-Netze mit individuellen Marken vorgestellt. Anhand von Beispielen für bauteilorientierte Prozessmuster wird die Funktionalität der Prozessmuster in sich und im gegenseitigen Zusammenspiel erläutert
The present study was designed to investigate the underlying factors determining the visual impressions of design-patterns that have complex textures. Design-patterns produced by "the dynamical system defined by iterations of discrete Laplacians on the plane lattice" were adopted as stimuli because they were not only complex, but also defined mathematically. In the experiment, 21 graduate and undergraduate students sorted 102 design-patterns into several groups by visual impressions. Those 102 patterns were classified into 12 categories by the cluster analysis. The results showed that the regularity of pattern was a most efficient factor for determining visual impressions of design-pattern, and there were some correspondence between visual impressions and mathematical variables of design-pattern. Especially, the visual impressions were influenced greatly by the neighborhood, and less influenced by steps of iterations.
This is an implementation of the Fillmore–Springer–Cnops construction (FSCc) based on the Clifford algebra capacities of the GiNaC computer algebra system. FSCc linearises the linear-fraction action of the Mobius group. This turns to be very useful in several theoretical and applied fields including engineering. The core of this realisation of FSCc is done for an arbitrary dimension, while a subclass for two dimensional cycles add some 2D-specific routines including a visualisation to PostScript files through the MetaPost or Asymptote software. This library is a backbone of many result published in, which serve as illustrations of its usage. It can be ported (with various level of required changes) to other CAS with Clifford algebras capabilities.
In diesem Beitrag wird eine mobile Software-Komponente zur Vor-Ort-Unterstützung von Bauwerksprüfungen gemäß DIN 1076 „Ingenieurbauwerke im Zuge von Strassen und Wegen, Überwachung und Prüfung“ vorgestellt, welche sich im praktischen Einsatz bei der Hochbahn AG Hamburg befindet. Mit Hilfe dieses Werkzeugs kann die Aktivität am Bauwerk in den gesamten softwaregestützten Geschäftsprozess der auwerksinstandhaltung integriert und somit die Bearbeitungszeit einer Bauwerksprüfung von der Vorbereitung bis zur Prüfbericht-Erstellung reduziert werden. Die Technologie des Mobile Computing wird unter Berücksichtigung spezieller fachlicher Randbedingungen, wie z.B. dem Einsatzort unter freiem Himmel, erläutert und es werden Methoden zur effizienten Datenerfassung mit Stift und Sprache vorgestellt und bewertet. Ferner wird die Einschränkung der Hardware durch die geringere Größe der Endgeräte, die sich durch die Bedingung der Mobilität ergibt, untersucht.
A concept for integrated modeling of urban and rural hydrology is introduced. The concept allows for simulations on the catchment scale as well as on the local scale. It is based on a 2-layer-approach which facilitates the parallel coupling of a catchment hydrology model with an urban hydrology model, considering the interactions between the two systems. The concept has been implemented in a computer model combining a grid based distributed hydrological catchment model and a hydrological urban stormwater model based on elementary units. The combined model provides a flexible solution for time and spatial scale integration and offers to calculate separate water balances for urban and rural hydrology. Furthermore, it is GIS-based which allows for easy and accurate geo-referencing of urban overflow structures, which are considered as points of interactions between the two hydrologic systems. Due to the two-layer-approach, programs of measures can be incorporated in each system separately. The capabilities of the combined model have been tested on a hypothetical test case and a real world application. It could be shown that the model is capable of accurately quantifying the effects of urbanization in a catchment. The affects of urbanization can be analyzed at the catchment outlet, but can also be traced back to its origins, due to the geo-referencing of urban overflow structures. This is a mayor advantage over conventional hydrological catchment models for the analysis of land use changes.
For assessment of old buildings, thermal graphic analysis aided with infra-red camera have been employed in a wide range nowadays. Image processing and evaluation can be economically practicable only if the image evaluation can also be automated to the largest extend. For that reason methods of computer vision are presented in this paper to evaluate thermal images. To detect typical thermal image elements, such as thermal bridges and lintels in thermal images respectively gray value images, methods of digital image processing have been applied, of which numerical procedures are available to transform, modify and encode images. At the same time, image processing can be regarded as a multi-stage process. In order to be able to accomplish the process of image analysis from image formation through perfecting and segmentation to categorization, appropriate functions must be implemented. For this purpose, different measuring procedures and methods for automated detection and evaluation have been tested.
The Lucas-Kanade tracker has proven to be an efficient and accurate method for calculation of the optical flow. However, this algorithm can reliably track only suitable image features like corners and edges. Therefore, the optical flow can only be calculated for a few points in each image, resulting in sparse optical flow fields. Accumulation of these vectors over time is a suitable method to retrieve a dense motion vector field. However, the accumulation process limits application of the proposed method to fixed camera setups. Here, a histogram based approach is favored to allow more than a single typical flow vector per pixel. The resulting vector field can be used to detect roads and prescribed driving directions which constrain object movements. The motion structure can be modeled as a graph. The nodes represent entry and exit points for road users as well as crossings, while the edges represent typical paths.
This paper presents two new methods for analysis of a technical state of large-panel residential buildings. The first method is based on elements extracted from the classical methods and on data about repairs and modernization collected from building documentations. The technical state of a building is calculated as a sum of several groups of elements defining the technical state. The deterioration in this method depends on: - time, which has passed since last repair of element or time which has passed since construction, - estimate of the state of element groups which can be determined on basis of yearly controls. This is a new unique method. it is easy to use, does not need expertise. The required data could be extracted easily from building documentations. For better accuracy the data from building inspections should be applied (in Poland inspections are made every year). The second method is based on the extracted data processing by means of the artificial neural networks. The aim is to learn the artificial neural network configurations for a set of data containing values of the technical state and information about building repairs for last years (or other information and building parameters) and next to analyse new buildings by the instructed neural network. The second profit from using artificial neural networks is the reduction of number of parameters. Instead of more then 40 parameters describing building, about 6-12 are usually sufficient for satisfactory accuracy. This method could have lower accuracy but it is less prone to data errors.
Trotz der langjährigen Erfahrung bei der Anwendung objektorientierter Konzepte bei der Modellierung von Gebäuden ist es bisher nicht gelungen, ein allgemein anerkanntes Gebäudemodell im Rechner abzubilden. Das mag zum einen daran liegen, daß die Standardisierung eines solchen Modells bis heute zu keinem Abschluß gekommen ist. Zum anderen aber scheint vor allem die Problematik der Abbildung eines solchen Gebäudemodells in das Objektmodell einer Programmiersprache bisher unterschätzt worden zu sein. Die erhoffte Durchgängigkeit von objektorientierter Analyse, Entwurf und Programmierung gelingt bei Anwendungen für Entwurfsaufgaben nicht. Das gilt vor allem für Anwendungen, die frühe Entwurfsphasen unterstützen und damit erst zur Definition eines Gebäudemodells beitragen. Im Bereich der Softwareentwicklung wird das Konzept des Objektes als Ordnungsbegriff zur Strukturierung von Softwaremodulen benutzt. Die Übertragung dieser Ordnung in die Welt des Ingenieurs oder Architekten zur Bezeichnung eines konkreten Elements aus einem Modell (Raum 42 aus der Menge aller Räume des Gebäudes Blumenstraße 7) kann daher nur zu begrenzten Erfolgen führen. Aus der Analyse der Widersprüchlichkeit des Objektbegriffs zwischen Softwareentwickler (Programmierer) und Softwareanwender (Ingenieur, Architekt) wird im folgenden ein Laufzeitsystem für dynamische Objektstrukturen entwickelt, das es dem Softwareentwickler erlaubt, sowohl auf die Struktur als auch auf die Ausprägung eines Modells zuzugreifen. Dem Softwareanwender können damit Werkzeuge zur Verfügung gestellt werden, die es ihm gestatten, Gebäudemodelle zu definieren. Das Laufzeitsystem enthält zum einen eine Reihe von Klassen, die es ermöglichen, die Struktur von Anwenderobjekten dynamisch zu beschreiben und zu analysieren. Eine zweite Art von Klassen erlaubt das Erzeugen und Verändern von Anwenderobjekten, die diesen Strukturen entsprechen
Review of Discrete Optimization Techniques for CAD Discrete optimization in the structure design Morphological method The alternative graph approach Convex discrete optimization without objective function Matroidal Decomposition in design Decomposition of layered matrices Discrete Optimization in Designing Packing problem Optimal arrangement of rectangles and shortest paths in L1-metrics Partition problems Discrete optimization in computational geometry and computer graphics Maxima of a point set on the plane Triangulation One of the main problems in computer graphics is removing hidden lines and surfaces
Computational Steering provides methods for the integration of modeling, simulation, visualization, data analysis and post processing. The user has full control over a running simulation and the possibility to modify objects (geometry and other properties), boundary conditions and other parameters of the system interactively. The objective of such a system is to explore the effects of changes made immediately and thus to optimize the target problem interactively. We present a computational steering based system for fluid flow problems in civil engineering. It is based on three software components as shown in figure 1. The modeler is the CAD-system AutoCAD, which offers a powerful programming interface allowing an efficient access to the geometric data. It also offers convenient manipulators for geometric objects. The simulation kernel is a Lattice-Boltzmann (LB) solver for the Navier-Stokes equations, which is especially suitable for instationary flows in complex geometries. For the visualization and postprocessing we use the software tool AVS, which provides a powerful programming interface and allows the efficient visualization of flow fields. These three components are interconnected through two communication modules and three interfaces as depicted in figure 1. Interface 1 is responsible for the transformation of the modified system for the simulation kernel, interface 2 is responsible for the proper preparation of the simulation data whereas interface 3 transforms the data from the modeler into a format suitable for the visualization system. The whole system is synchronized by the two communication modules.
Procedures of a construction of general solutions for some classes of partial differential equations (PDEs) are proposed and a symmetry operators approach to the raising the orders of the polynomial solutions to linear PDEs are develops. We touch upon an ''operator analytic function theory'' as the solution of a frequent classes of the equations of mathematical physics, when its symmetry operators forms vast enough space. The MAPLE© package programs for the building the operator variables is elaborated also.
The quaternionic operator calculus can be applied very elegantly to solve many important boundary value problems arising in fluid dynamics and electrodynamics in an analytic way. In order to set up fully explicit solutions. In order to apply the quaternionic operator calculus to solve these types of boundary value problems fully explicitly, one has to evaluate two types of integral operators: the Teodorescu operator and the quaternionic Bergman projector. While the integral kernel of the Teodorescu transform is universal for all domains, the kernel function of the Bergman projector, called the Bergman kernel, depends on the geometry of the domain. Recently the theory of quaternionic holomorphic multiperiodic functions and automorphic forms provided new impulses to set up explicit representation formulas for large classes of hyperbolic polyhedron type domains. These include block shaped domains, wedge shaped domains (with or without additional rectangular restrictions) and circular symmetric finite and infinite cylinders as particular subcases. In this talk we want to give an overview over the recent developments in this direction.
We show a close relation between the Schrödinger equation and the conductivity equation to a Vekua equation of a special form. Under quite general conditions we propose an algorithm for explicit construction of pseudoanalytic positive formal powers for the Vekua equation that as a consequence gives us a complete system of solutions for the Schrödinger and the conductivity equations. Besides the construction of complete systems of exact solutions for the above mentioned second order equations and the Dirac equation, we discuss some other applications of pseudoanalytic function theory.
Für den Entwurf der i.a. aus langen schmalen Rechtecken bestehenden Schal- bzw. Werkpläne wird eine Entwurfsunterstützung vorgestellt, bei der die Größe der Rechtecke wie immer festgelegt wird, die Lage der Rechtecke aber durch topologische Angaben. Letztere bilden programmtechnisch Bedingungen, wobei zwischen Berühr- und Bündigkeitsbedingen unterschieden wird. Diese Angaben positionieren das neue Rechteck im Bezug zu einem bereits platzierten. Zum Beispiel erlaubt die Angabe, die Säule ist oberhalb des Fundamentes und belastet dieses mittig, eine eindeutige Festlegung der Lage der Säule bei gegebener Lage des Fundamentes und gegebenen Abmessungen beider Rechtecke. Die Formulierung mittels Bedingungen hat den Vorteil daß diese auch bei Änderung von Abmessungen gültig bleiben. Die hier vorgestellte Eingabeart der relativen Positionierung ist eine Erweiterung des Orthomodus, wie er bei Bau-CAD-Programmen stets gefunden wird.
Für die Ausführung des Oberbaus von Verkehrsflächen existiert in Abhängigkeit von projektspezifischen Voraussetzungen eine Vielzahl von verschiedenen Varianten. Aufgrund von Erfahrungen der Projektplaner werden bei ähnlichen Voraussetzungen häufig gleichartige Ausführungsvarianten gewählt. Um eine mögliche Lösungsvariante für den Straßenoberbau zu erhalten, sollten daher nicht nur die gesetzlichen Richtlinien sondern auch bereits beendete Projekte berücksichtigt werden. Im Rahmen eines Wissenschaftlichen Kollegs an der Bauhaus-Universität Weimar wurde die Anwendung des Case-Based Reasoning für die Auswahl von Ausführungsvarianten für den Straßenoberbau untersucht. In diesem Beitrag werden die grundlegenden Konzepte des Case-Based Reasoning und die Bestimmung von ähnlichen Varianten anhand einfacher Beispiele aus dem Straßenoberbau dargestellt.
Prozesse im Bauingenieurwesen sind komplex und beinhalten eine große Anzahl verschiedener Aufgaben mit vielen logischen Abhängigkeiten. Basierend auf diesen projektspezifischen Abhängigkeiten wird gewöhnlich ein Bauablaufplan manuell erstellt. In der Regel existieren mehrere Varianten und somit alternative Bauabläufe um ein Projekt zu realisieren. Welche dieser Ausführungsvarianten zur praktischen Anwendung kommt, wird durch den jeweiligen Projektmanager bestimmt. Falls Ä;nderungen oder Störungen während des Bauablaufs auftreten, müssen die davon betroffenen Aufgaben und Abläufe per Hand modifiziert und alternative Aufgaben sowie Abläufe stattdessen ausgeführt werden. Diese Vorgehensweise ist oft sehr aufwändig und teuer. Aktuelle Forschungsansätze beschäftigen sich mit der automatischen Generierung von Bauabläufen. Grundlage sind dabei Aufgaben mit ihren erforderlichen Voraussetzungen und erzeugten Ergebnissen. Im Rahmen dieses Beitrags wird eine Methodik vorgestellt, um Bauabläufe mit Ausführungsvarianten in Form von Workflow-Netzen zu jeder Zeit berechnen zu können. Die vorgestellte Methode wird anhand eines Beispiels aus dem Straßenbau schematisch dargestellt.
Der vorliegende Text beschreibt ein computerbasiertes Verfahren zur Lösung von Layout-problemen in Architektur und Städtebau, welches mit möglichst wenig Problemwissen auskommt und schnell brauchbare Ergebnisse liefert, die durch schrittweises Hinzufügen von Problemwissen interaktiv weiter ausgearbeitet werden können. Für das generative Verfahren wurde eine Evolutions-Strategie verwendet, die mit Mechanismen zur Kollisionserkennung und virtuellen Federn zu einem hybriden Algorithmus kombiniert wurde. Dieser dient erstens der Lösung des Problems der Dichten Packung von Rechtecken sowie zweitens der Herstellung bestimmter topologischer Beziehungen zwischen diesen Rechtecken. Die Bearbeitung beider Probleme wird durch schrittweise Erweiterung grundlegender Verfahren untersucht, wobei die einzelnen Schritte anhand von Performancetests miteinander verglichen werden. Am Ende wird ein iterativer Algorithmus vorgestellt, der einerseits optimale Lösungen garantiert und andererseits diese Lösungen in einer für eine akzeptable Nutzerinteraktion ausreichenden Geschwindigkeit generiert.
Some caad packages offer additional support for the optimization of spatial configurations, but the possibilities for applying optimization are usually limited either by the complexity of the data model or by the constraints of the underlying caad system. Since we missed a system that allows to experiment with optimization techniques for the synthesis of spatial configurations, we developed a collection of methods over the past years. This collection is now combined in the presented open source library for computational planning synthesis, called CPlan. The aim of the library is to provide an easy to use programming framework with a flat learning curve for people with basic programming knowledge. It offers an extensible structure that allows to add new customized parts for various purposes. In this paper the existing functionality of the CPlan library is described.
At the end of the 1960s, architects at various universities world- wide began to explore the potential of computer technology for their profession. With the decline in prices for PCs in the 1990s and the development of various computer-aided architectural design systems (CAAD), the use of such systems in architectural and planning offices grew continuously. Because today no ar- chitectural office manages without a costly CAAD system and because intensive soſtware training has become an integral part of a university education, the question arises about what influence the various computer systems have had on the design process forming the core of architectural practice. The text at hand devel- ops ten theses about why there has been no success to this day in introducing computers such that new qualitative possibilities for design result. RESTRICTEDNESS
PLANUNGSUNTERSTÜTZUNG DURCH DIE ANALYSE RÄUMLICHER PROZESSE MITTELS COMPUTERSIMULATIONEN. Erst wenn man – zumindest im Prinzip – versteht, wie eine Stadt mit ihren komplexen, verwobenen Vorgängen im Wesentlichen funktioniert, ist eine sinnvolle Stadtplanung möglich. Denn jede Planung bedeutet einen Eingriff in den komplexen Organismus einer Stadt. Findet dieser Eingriff ohne Wissen über die Funktionsweise des Organismus statt, können auch die Auswirkungen nicht abgeschätzt werden. Dieser Beitrag stellt dar, wie urbane Prozesse mittels Computersimulationen unter Zuhilfenahme so genannter Multi-Agenten-Systeme und Zellulärer Automaten verstanden werden können. von
Nähert man sich der Frage nach den Zusammenhängen zwischen Strukturalismus und generativen algorithmischen Planungsmethoden, so ist zunächst zu klären, was man unter Strukturalismus in der Architektur versteht. Allerdings gibt es letztlich keinen verbindlichen terminologischen Rahmen, innerhalb dessen sich eine solche Klärung vollziehen könnte. Strukturalismus in der Architektur wird oftmals auf ein formales Phänomen und damit auf eine Stilfrage reduziert. Der vorliegende Text will sich nicht mit Stilen und Phänomenen strukturalistischer Architektur auseinandersetzen, sondern konzentriert sich auf die Betrachtung strukturalistischer Entwurfsmethoden und stellt Bezüge her zu algorithmischen Verfahren, wobei das Zusammenspiel zwischen regelgeleitetem und intuitivem Vorgehen beim Entwerfen herausgearbeitet wird.
This work is based on the concept that the structure of a city can be defined by six basic urban patterns. To enable more complex urban planning as a long-term objective I have developed a simulation method for generating these basic patterns and for combining them to form various structures. The generative process starts with the two-dimensional organisation of streets followed by the parceling of the remaining areas. An agent-based diffusion-contact model is the basis of these first two steps. Then, with the help of cellular automata, the sites for building on are defined and a three-dimensional building structure is derived. I illustrate the proposed method by showing how it can be applied to generate possible structures for an urban area in the city of Munich.
It's not uncommon that analysis and simulation methods are used mainly to evaluate finished designs and to proof their quality. Whereas the potential of such methods is to lead or control a design process from the beginning on. Therefore, we introduce a design method that move away from a “what-if” forecasting philosophy and increase the focus on backcasting approaches. We use the power of computation by combining sophisticated methods to generate design with analysis methods to close the gap between analysis and synthesis of designs. For the development of a future-oriented computational design support we need to be aware of the human designer’s role. A productive combination of the excellence of human cognition with the power of modern computing technology is needed. We call this approach “cognitive design computing”. The computational part aim to mimic the way a designer’s brain works by combining state-of-the-art optimization and machine learning approaches with available simulation methods. The cognition part respects the complex nature of design problems by the provision of models for human-computation interaction. This means that a design problem is distributed between computer and designer. In the context of the conference slogan “back to command”, we ask how we may imagine the command over a cognitive design computing system. We expect that designers will need to let go control of some parts of the design process to machines, but in exchange they will get a new powerful command on complex computing processes. This means that designers have to explore the potentials of their role as commanders of partially automated design processes. In this contribution we describe an approach for the development of a future cognitive design computing system with the focus on urban design issues. The aim of this system is to enable an urban planner to treat a planning problem as a backcasting problem by defining what performance a design solution should achieve and to automatically query or generate a set of best possible solutions. This kind of computational planning process offers proof that the designer meets the original explicitly defined design requirements. A key way in which digital tools can support designers is by generating design proposals. Evolutionary multi-criteria optimization methods allow us to explore a multi-dimensional design space and provide a basis for the designer to evaluate contradicting requirements: a task urban planners are faced with frequently. We also reflect why designers will give more and more control to machines. Therefore, we investigate first approaches learn how designers use computational design support systems in combination with manual design strategies to deal with urban design problems by employing machine learning methods. By observing how designers work, it is possible to derive more complex artificial solution strategies that can help computers make better suggestions in the future.
Im vorliegenden Beitrag wird ein Framework für ein verteiltes dynamisches Produktmodell (FREAC) vorgestellt, welches der experimentellen Softwareentwicklung dient. Bei der Entwicklung von FREAC wurde versucht, folgende Eigenschaften umzusetzen, die bei herkömmlichen Systemen weitgehend fehlen: Erstens eine hohe Flexibilität, also eine möglichst hohe Anpassbarkeit für unterschiedliche Fachdisziplinen; Zweitens die Möglichkeit, verschiedene Tools nahtlos miteinander zu verknüpfen; Drittens die verteilte Modellbearbeitung in Echtzeit; Viertens das Abspeichern des gesamten Modell-Bearbeitungsprozesses; Fünftens eine dynamische Erweiterbarkeit sowohl für Softwareentwickler, als auch für die Nutzer der Tools. Die Bezeichnung FREAC umfasst sowohl das Framework zur Entwicklung und Pflege eines Produktmodells (FREAC-Development) als auch die entwickelten Tools selbst (FREAC-Tools).
PKPM series CAD software is an integrated CAD system for building design, which integrated the following parts: architectural design, structural design, building service design and statistic analysis of quantity and budget. These four parts share the same database with high efficiency. Over 80% of design corporation in China are using PKPM series CAD software. The detailed information and some key modules of PKPM series CAD software are mainly introduced in this paper.
Interval analysis extends the concept of computing with real numbers to computing with real intervals. As a consequence, some interesting properties appear, such as the delivery of guaranteed results or confirmed global values. The former property is given in the sense that unknown numerical values are in known to lie in a computed interval. The latter property states that the global minimum value, for example, of a given function is also known to be contained in a interval (or a finite set of intervals). Depending upon the amount computation effort invested in the calculation, we can often find tight bounds on these enclosing intervals. The downside of interval analysis, however, is the mathematically correct, but often very pessimistic size of the interval result. This is in particularly due to the so-called dependency effect, where a single variable is used multiple times in one calculation. Applying interval analysis to structural analysis problems, the dependency has a great influence on the quality of numerical results. In this paper, a brief background of interval analysis is presented and shown how it can be applied to the solution of structural analysis problems. A discussion of possible improvements as well as an outlook to parallel computing is also given.
In civil engineering practice, values of column forces are often required before any detailed analysis of the structure has been performed. One of the reasons for this arises from the fast-tracked nature of the majority of construction projects: foundations are laid and base columns constructed whilst analysis and design are still in progress. A need for quick results when feasibility studies are performed or when evaluating the effect of design changes on supporting columns form other situations in which column forces are required, but where a detailed analysis to get these forces seems superfluous. Thus it was concluded that the development of an efficient tool for column force calculations, in which the extensive input required in a finite element analysis is to be avoided, would be highly beneficial. The automation of the process is achieved by making use of a Voronoi diagram. The Voronoi diagram is used a) for subdividing the floor into influence areas and b) as a basis for automatic load assignment. The implemented procedure is integrated into a CAD system in which the relevant geometric information of the floor, i.e. its shape and column layout, can be defined or uploaded. A brief description of the implementation is included. Some comparative results and considerations regarding the continuation of the study are given.
The design and application of high performance materials demands extensive knowledge of the materials damage behavior, which significantly depends on the meso- and microstructural complexity. Numerical simulations of crack growth on multiple length scales are promising tools to understand the damage phenomena in complex materials. In polycrystalline materials it has been observed that the grain boundary decohesion is one important mechanism that leads to micro crack initiation. Following this observation the paper presents a polycrystal mesoscale model consisting of grains with orthotropic material behavior and cohesive interfaces along grain boundaries, which is able to reproduce the crack initiation and propagation along grain boundaries in polycrystalline materials. With respect to the importance of modeling the geometry of the grain structure an advanced Voronoi algorithm is proposed to generate realistic polycrystalline material structures based on measured grain size distribution. The polycrystal model is applied to investigate the crack initiation and propagation in statically loaded representative volume elements of aluminum on the mesoscale without the necessity of initial damage definition. Future research work is planned to include the mesoscale model into a multiscale model for the damage analysis in polycrystalline materials.
The Finite Element Method (FEM) is widely used in engineering for solving Partial Differential Equations (PDEs) over complex geometries. To this end, it is required to provide the FEM software with a geometric model that is typically constructed in a Computer-Aided Design (CAD) software. However, FEM and CAD use different approaches for the mathematical description of the geometry. Thus, it is required to generate a mesh, which is suitable for FEM, based on the CAD model. Nonetheless, this procedure is not a trivial task and it can be time consuming. This issue becomes more significant for solving shape and topology optimization problems, which consist in evolving the geometry iteratively. Therefore, the computational cost associated to the mesh generation process is increased exponentially for this type of applications.
The main goal of this work is to investigate the integration of CAD and CAE in shape and topology optimization. To this end, numerical tools that close the gap between design and analysis are presented. The specific objectives of this work are listed below:
• Automatize the sensitivity analysis in an isogeometric framework for applications in shape optimization. Applications for linear elasticity are considered.
• A methodology is developed for providing a direct link between the CAD model and the analysis mesh. In consequence, the sensitivity analysis can be performed in terms of the design variables located in the design model.
• The last objective is to develop an isogeometric method for shape and topological optimization. This method should take advantage of using Non-Uniform Rational B-Splines (NURBS) with higher continuity as basis functions.
Isogeometric Analysis (IGA) is a framework designed to integrate the design and analysis in engineering problems. The fundamental idea of IGA is to use the same basis functions for modeling the geometry, usually NURBS, for the approximation of the solution fields. The advantage of integrating design and analysis is two-fold. First, the analysis stage is more accurate since the system of PDEs is not solved using an approximated geometry, but the exact CAD model. Moreover, providing a direct link between the design and analysis discretizations makes possible the implementation of efficient sensitivity analysis methods. Second, the computational time is significantly reduced because the mesh generation process can be avoided.
Sensitivity analysis is essential for solving optimization problems when gradient-based optimization algorithms are employed. Automatic differentiation can compute exact gradients, automatically by tracking the algebraic operations performed on the design variables. For the automation of the sensitivity analysis, an isogeometric framework is used. Here, the analysis mesh is obtained after carrying out successive refinements, while retaining the coarse geometry for the domain design. An automatic differentiation (AD) toolbox is used to perform the sensitivity analysis. The AD toolbox takes the code for computing the objective and constraint functions as input. Then, using a source code transformation approach, it outputs a code for computing the objective and constraint functions, and their sensitivities as well. The sensitivities obtained from the sensitivity propagation method are compared with analytical sensitivities, which are computed using a full isogeometric approach.
The computational efficiency of AD is comparable to that of analytical sensitivities. However, the memory requirements are larger for AD. Therefore, AD is preferable if the memory requirements are satisfied. Automatic sensitivity analysis demonstrates its practicality since it simplifies the work of engineers and designers.
Complex geometries with sharp edges and/or holes cannot easily be described with NURBS. One solution is the use of unstructured meshes. Simplex-elements (triangles and tetrahedra for two and three dimensions respectively) are particularly useful since they can automatically parameterize a wide variety of domains. In this regard, unstructured Bézier elements, commonly used in CAD, can be employed for the exact modelling of CAD boundary representations. In two dimensions, the domain enclosed by NURBS curves is parameterized with Bézier triangles. To describe exactly the boundary of a two-dimensional CAD model, the continuity of a NURBS boundary representation is reduced to C^0. Then, the control points are used to generate a triangulation such that the boundary of the domain is identical to the initial CAD boundary representation. Thus, a direct link between the design and analysis discretizations is provided and the sensitivities can be propagated to the design domain.
In three dimensions, the initial CAD boundary representation is given as a collection of NURBS surfaces that enclose a volume. Using a mesh generator (Gmsh), a tetrahedral mesh is obtained. The original surface is reconstructed by modifying the location of the control points of the tetrahedral mesh using Bézier tetrahedral elements and a point inversion algorithm. This method offers the possibility of computing the sensitivity analysis using the analysis mesh. Then, the sensitivities can be propagated into the design discretization. To reuse the mesh originally generated, a moving Bézier tetrahedral mesh approach was implemented.
A gradient-based optimization algorithm is employed together with a sensitivity propagation procedure for the shape optimization cases. The proposed shape optimization approaches are used to solve some standard benchmark problems in structural mechanics. The results obtained show that the proposed approach can compute accurate gradients and evolve the geometry towards optimal solutions. In three dimensions, the moving mesh approach results in faster convergence in terms of computational time and avoids remeshing at each optimization step.
For considering topological changes in a CAD-based framework, an isogeometric phase-field based shape and topology optimization is developed. In this case, the diffuse interface of a phase-field variable over a design domain implicitly describes the boundaries of the geometry. The design variables are the local values of the phase-field variable. The descent direction to minimize the objective function is found by using the sensitivities of the objective function with respect to the design variables. The evolution of the phase-field is determined by solving the time dependent Allen-Cahn equation.
Especially for topology optimization problems that require C^1 continuity, such as for flexoelectric structures, the isogeometric phase field method is of great advantage. NURBS can achieve the desired continuity more efficiently than the traditional employed functions. The robustness of the method is demonstrated when applied to different geometries, boundary conditions, and material configurations. The applications illustrate that compared to piezoelectricity, the electrical performance of flexoelectric microbeams is larger under bending. In contrast, the electrical power for a structure under compression becomes larger with piezoelectricity.
This research focuses on an approach to describe principles in architectural layout planning within the domain of revitalization. With the aid of mathematical rules, which are executed by a computer, solutions to design problems are generated. Provided that "design" is in principle a combinatorial problem, i.e. a constraint-based search for an overall optimal solution of a problem, an exemplary method will be described to solve such problems in architectural layout planning. To avoid conflicts relating to theoretical subtleness, a customary approach adopted from Operations Research has been chosen in this work. In this approach, design is a synonym for planning, which could be described as a systematic and methodical course of action for the analysis and solution of current or future problems. The planning task is defined as an analysis of a problem with the aim to prepare optimal decisions by the use of mathematical methods. The decision problem of a planning task is represented by an optimization model and the application of an efficient algorithm in order to aid finding one or more solutions to the problem. The basic principle underlying the approach presented herein is the understanding of design in terms of searching for solutions that fulfill specific criteria. This search is executed by the use of a constraint programming language.
Plausibilität im Planungsprozess - Digitale Planungshilfen für die Bebaubarkeit von Grundstücken
(2003)
Die digitale Unterstützung der Planungsprozesse ist ein aktueller Forschungs- und Arbeitsschwerpunkt der Professur Informatik in der Architektur (InfAR) und der Juniorprofessur Architekturinformatik der Fakultät Architektur an der Bauhaus-Universität Weimar. Verankert in dem DFG Sonderforschungsbereich 524 >Werkzeuge und Konstruktionen für die Revitalisierung von Bauwerken< werden Konzepte und Prototypen für eine fachlich orientierte Planungsunterstützung entwickelt. Die Vielfalt der unterschiedlichen Faktoren, die Einfluss auf den Planungsprozess nehmen können, sowie deren Abhängigkeiten voneinander werden von heutigen Planungssystemen in nur unzureichender Weise aufbereitet und verwaltet. Diese Faktoren bedingen Planungstools, deren Aufgabe die Beschaffung, Verarbeitung, Integration und Verwaltung von Informationen sowie die Veranschaulichung der komplexen Informationszusammenhänge ist. Die Entwicklung solcher Systeme ist technisch möglich. Die Schwierigkeit liegt in der Beschaffung und Strukturierung der für den Planungsprozess relevanten Informationen sowie in ihrer Aufbereitung und Integration in eine digitale Planungsumgebung. Das Bestreben des Forschungsprojektes ist es, Grundlagen für digitale Werkzeuge zu entwickeln die zu plausiblen Lösungen im Planungsprozess und somit zu erhöhter Planungssicherheit für die am Bau beteiligten Auftragnehmer und Auftraggeber führen. Es wird angestrebt Programm-Module zu entwickeln, die den Planer bei der Ermittlung von Lösungswegen zu einer Fachfrage inhaltlich unterstützen und die Nachvollziehbarkeit und Richtigkeit einer Planungsentscheidung gewährleisten und plausibel darlegen. Mit Hilfe der Module sollen Entscheidungsfindungen katalysiert werden. Die Bauvorhaben der Zukunft werden zu einem großen Teil im Bestand liegen. Dieses Faktum erfordert planerische Maßnahmen, für die vollends Werkzeuge und Hilfsmittel fehlen, die zu plausiblen und sicheren Planungsentscheidungen führen. Die Entwicklung solcher Hilfsmittel ist Ziel dieser Forschung. Der Beitrag stellt prototypische Software-Module vor, die sich mit der Problematik der potenziellen Bebaubarkeit einer Grundstücksfläche auseinander setzen. Die Module verarbeiten Regeln, die den einschlägigen Normen und Verordnungen entnommen sind, die bei der Erarbeitung einer Planungslösung eingehalten werden müssen.
Ideally, multiple computational building evaluation routines (particularly simulation tools) should be coupled in real-time to the representational design model to provide timely performance feed-back to the system user. In this paper we demonstrate how this can be achieved effectively and conveniently via homology-based mapping. We consider two models as homologous if they entail isomorphic topological information. If the general design representation (i.e., a shared object model) is generated in a manner so as to include both the topological building information and pointers to the semantic information base, it can be used to directly derive the domain representations (>enriched< object models with detailed configurational information and filtered semantic data) needed for evaluation purposes. As a proof of concept, we demonstrate a computational design environment that dynamically links an object-oriented space-based design model, with structurally homologous object models of various simulation routines.
At the 16th IKM Bock, Falcão and Gürlebeck presented examples of the application of some specially developed Maple-Software in hypercomplex analysis. Other papers of those authors continued this work and showed the efficiency of such tools for concrete numerical calculations as well as for numerical experiments, supporting the detection of new relationships and even theorems in a highly technical theoretical work. The mentioned software has been developed mainly for the use on mapping problems in the Euclidean spaces of dimension 3 and 4 by means of Bergman kernel methods (BKM), which are related to monogenic functions as solutions of generalized Cauchy-Riemann equations with respect to the Euclidean metric (Riesz system). The developed procedures concerning generalized powers of totally regular variables and the corresponding homogeneous polynomials basically rely on results and conventions introduced in the paper "Power series representation for monogenic functions in Rm+1 based on a permutational product", Complex Variables, 15, No.3, 181-191 (1990) by H. Malonek. Since 1992 H. Leutwiler, S. L. Eriksson and others developed in a number of papers a modified Clifford analysis and, particularly, a modified quaternionic analysis. The modification mainly consists in considering generalized Cauchy-Riemann equations with respect to a hyperbolic metric in a half space. The aim of this contribution is to show how through a change of the basic combinatorial relations used in the modified quaternionic analysis the aforementioned Maple-software (that has been recently published on CD-Rom as integrated part of the text book "Funktionentheorie in der Ebene und im Raum" by K. Gürlebeck, K. Habetha, and W. Sprössig, in the series "Grundstudium Mathematik" of Birkhäuser Verlag, 2006) can directly be used for numerical calculations in the modified theory.
In many applications such as parameter identification of oscillating systems in civil enginee-ring, speech processing, image processing and others we are interested in the frequency con-tent of a signal locally in time. As a start wavelet analysis provides a time-scale decomposition of signals, but this wavelet transform can be connected with an appropriate time-frequency decomposition. For instance in Matlab are defined pseudo-frequencies of wavelet scales as frequency centers of the corresponding bands. This frequency bands overlap more or less which depends on the choice of the biorthogonal wavelet system. Such a definition of frequency center is possible and useful, because different frequencies predominate at different dyadic scales of a wavelet decomposition or rather at different nodes of a wavelet packet decomposition tree. The goal of this work is to offer better algorithms for characterising frequency band behaviour and for calculating frequency centers of orthogonal and biorthogonal wavelet systems. This will be done with some product formulas in frequency domain. Now the connecting procedu-res are more analytical based, better connected with wavelet theory and more assessable. This procedures doesn’t need any time approximation of the wavelet and scaling functions. The method only works in the case of biorthogonal wavelet systems, where scaling functions and wavelets are defined over discrete filters. But this is the practically essential case, because it is connected with fast algorithms (FWT, Mallat Algorithm). At the end corresponding to the wavelet transform some closed formulas of pure oscillations are given. They can generally used to compare the application of different wavelets in the FWT regarding it’s frequency behaviour.
A new application of software technology is the application area of smart living or sustainable living. Within this area application platforms are designed and realized with the goal to support value added services. In this context value added services integrates microelectronics, home automation and services to enhance the attractiveness of flats, homes and buildings. Especially real estate companies or service providers dealing with home services are interested in an effective design and management of their services. Service Engineering is the approved approach for designing customer oriented service processes. Service engineering consists of several phases; from situation analysis to service creation and service design to service management. This article will describe how the method service blueprint can be used to design service processes. Smart living includes all actions to enlarge a flat to a smart home for living. One special requirement of this application domain is the use of local components (actuators, sensors) within service processes. This article will show how this extended method supports service providers to improve the quality of customer oriented service processes and the derivation of needed interfaces of involved actors. For the civil engineering process it will be possible to derive needed information from a built in home automation system. The aim is to show, how to get needed smart local components to fullfill later offered it-supported value added services. Value added services focused on inhabitants are grouped to consulting and information, care and supervision, leisure time activities, repairs, mobility and delivery, safety and security, supply and disposal.
Requires for reliability and durability of structures and their elements with simultaneous material economy have stimulated improvement of constitutive equations for description of elasto-plastic deformation processes. This has led to the development of phenomenological modelling of complex phenomena of irreversible deformation including history-dependent and rate-dependent effects. During the last several decades many works have been devoted to the development of elasto-plastic models, in order to better predict the material behavior under combined variable thermo-mechanical loading. The increase of accuracy of stress analysis and safety factors for complex structures with the help of modern finite-element packages (ABAQUS, ANSYS, COSMOS, LS-DYNA, MSC.MARC, MSC.NASTRAN, PERMAS and other) can be provided only by use of complex and special variants of plasticity theories, which are adequate for the considered loading conditions and based on authentic information about properties of materials. The areas of application of the various theories (models) are as a rule unknown to the users of finite-element packages at the existing variety loading condition sin machine-building designs. At the moment a universal theory of inelasticity is absent and even the most accomplished theories can not guarantee adequate description of deformation processes for arbitrary structure under wide range of loading programs. The classifier of materials, loading conditions, effects (phenomena) and list of basic experiments are developed by the authors. Use of these classifiers for an establishment of hierarchy of models is a first step for introduction of the multimodel analysis into computational practice. The set of the classic and modern inelasticity theories is considered, so that they are applicable for stress analysis of structures under complex loading programs. Among them there are plastic flow theories with linear and nonlinear isotropic and kinematic hardening, multisurface theories, endochronic theory, holonomic theory, rheologic models, theory of elasto-plastic processes, slip theory, physical theories (single crystal and polycrystalline models) and others. The classification of materials provides rearranging by a degree of homogeneous, chemical composition, level of strength and plasticity, behavior under cyclic loading, anisotropy of properties at initial condition, anisotropy of properties during deformation process, structural stability. The classification of loading conditions takes into consideration proportional and non-proportional loading, temperature range, combination of cyclic and monotonous loading, one-axial, two-axial and complex stress state, curvature of strain path, presence of stress concentrators and level of strain gradient. A unified general form of constitutive equations is presented for all used material models based upon the concept of internal state variables. The wide range of mentioned above inelastic material models has been implemented into finite element program PANTOCRATOR developed by authors (see for details www.pantocrator.narod.ru). Application possibility of different material models is considered both for material element and for complex structures subjected to complex non-proportional loading.
Processing technical and environmental data on building materials, components, and systems has become more important during the last few years. Increased sensitivity towards environmental and energy problems has lead to the demand for simulation and evaluation of the long term behavior of buildings. The results of such simulations are expected to enable architects and engineers to develop a broader, interdisciplinary understanding of the impact of their products (buildings) on the environment. However, conducting such evaluations is currently hampered by the lack of comprehensive, up-to-date, and ecologically relevant data on building materials, components, and systems. To address this problem, this paper proposes an approach to deal with the absent or uncertain attributes of building materials, components, and systems. In the past, various information systems have been developed to provide data on a limited set of building materials, including precise values pertaining to some of their characteristics, such as availability, manufacturers, costs, etc. These traditional information systems have difficulty in dealing with uncertain, incomplete and sparse data. However, uncertainty and incompleteness characterize the nature of most of the available and environmentally related characteristics of materials, components, and systems. In this paper, a fuzzy-logic-based augmentation of traditional information systems is proposed towards providing management, utilization and manipulation of incomplete and uncertain data.
The paper is devoted to the investigation of dynamical behavior of a cable under influence of various types of excitations. Such element has a low rigidity and is sensitive to dynamic effect. The structural scheme is a cable which ends are located at different level. The analysis of dynamical behavior of the cable under effect of kinematical excitation which is represented by the oscillations of the upper part of tower is given. The scheme of cable is accepted such, that lower end of an inclined cable is motionless. The motion of the upper end is assumed only in horizontal direction. The fourth-order Runge-Kutta method was realized in software. The fast Fourier transform was used for spectral analysis. Standard graphical software was adopted for presenting results of investigations. The mathematical model of oscillations of a cable was developed by the account of the viscous damping. The analysis of dynamical characteristics of a cable for various parameters of damping and kinematical excitation was carried out. The time series, spectral characteristics and amplitude-frequencies characteristics was obtained. The resonance amplitude for different oscillating regimes was estimated. It is noted that increasing of the coefficient of the viscous damping and decreasing of the amplitude of tower's oscillations reduces the value of the critical frequency and the resonant amplitudes.
In engineering science the modeling and numerical analysis of complex systems and relations plays an important role. In order to realize such an investigation, for example a stochastic analysis, in a reasonable computational time, approximation procedure have been developed. A very famous approach is the response surface method, where the relation between input and output quantities is represented for example by global polynomials or local interpolation schemes as Moving Least Squares (MLS). In recent years artificial neural networks (ANN) have been applied as well for such purposes. Recently an adaptive response surface approach for reliability analyses was proposed, which is very efficient concerning the number of expensive limit state function evaluations. Due to the applied simplex interpolation the procedure is limited to small dimensions. In this paper this approach is extended for larger dimensions using combined ANN and MLS response surfaces for evaluating the adaptation criterion with only one set of joined limit state points. As adaptation criterion a combination by using the maximum difference in the conditional probabilities of failure and the maximum difference in the approximated radii is applied. Compared to response surfaces on directional samples or to plain directional sampling the failure probability can be estimated with a much smaller number of limit state points.
The Element-free Galerkin Method has become a very popular tool for the simulation of mechanical problems with moving boundaries. The internally applied Moving Least Squares approximation uses in general Gaussian or cubic weighting functions and has compact support. Due to the approximative character of this method the obtained shape functions do not fulfill the interpolation condition, which causes additional numerical effort for the imposition of the essential boundary conditions. The application of a singular weighting function, which leads to singular coefficient matrices at the nodes, can solve this problem, but requires a very careful placement of the integration points. Special procedures for the handling of such singular matrices were proposed in literature, which require additional numerical effort. In this paper a non-singular weighting function is presented, which leads to an exact fulfillment of the interpolation condition. This weighting function leads to regular values of the weights and the coefficient matrices in the whole interpolation domain even at the nodes. Furthermore this function gives much more stable results for varying size of the influence radius and for strongly distorted nodal arrangements than classical weighting function types. Nevertheless, for practical applications the results are similar as these obtained with the regularized weighting type presented by the authors in previous publications. Finally a new concept will be presented, which enables an efficient analysis of systems with strongly varying node density. In this concept the nodal influence domains are adapted depending on the nodal configuration by interpolating the influence radius for each direction from the distances to the natural neighbor nodes. This approach requires a Voronoi diagram of the domain, which is available in this study since Delaunay triangles are used as integration background cells. In the numerical examples it will be shown, that this method leads to a more uniform and reduced number of influencing nodes for systems with varying node density than the classical circular influence domains, which means that the small additional numerical effort for interpolating the influence radius leads to remarkable reduction of the total numerical cost in a linear analysis while obtaining similar results. For nonlinear calculations this advantage would be even more significant.
The modeling of crack propagation in plain and reinforced concrete structures is still a field for many researchers. If a macroscopic description of the cohesive cracking process of concrete is applied, generally the Fictitious Crack Model is utilized, where a force transmission over micro cracks is assumed. In the most applications of this concept the cohesive model represents the relation between the normal crack opening and the normal stress, which is mostly defined as an exponential softening function, independently from the shear stresses in tangential direction. The cohesive forces are then calculated only from the normal stresses. By Carol et al. 1997 an improved model was developed using a coupled relation between the normal and shear damage based on an elasto-plastic constitutive formulation. This model is based on a hyperbolic yield surface depending on the normal and the shear stresses and on the tensile and shear strength. This model also represents the effect of shear traction induced crack opening. Due to the elasto-plastic formulation, where the inelastic crack opening is represented by plastic strains, this model is limited for applications with monotonic loading. In order to enable the application for cases with un- and reloading the existing model is extended in this study using a combined plastic-damage formulation, which enables the modeling of crack opening and crack closure. Furthermore the corresponding algorithmic implementation using a return mapping approach is presented and the model is verified by means of several numerical examples. Finally an investigation concerning the identification of the model parameters by means of neural networks is presented. In this analysis an inverse approximation of the model parameters is performed by using a given set of points of the load displacement curves as input values and the model parameters as output terms. It will be shown, that the elasto-plastic model parameters could be identified well with this approach, but require a huge number of simulations.
This paper deals with the development of a new multi-objective evolution strategy in combination with an integrated pollution-load and water-quality model. The optimization algorithm combines the advantages of the Non-Dominated Sorting Genetic Algorithm and Self-Adaptive Evolution Strategies. The identification of a good spread of solutions on the pareto-optimum front and the optimization of a large number of decision variables equally demands numerous simulation runs. In addition, statements with regard to the frequency of critical concentrations and peak discharges require continuous long-term simulations. Therefore, a fast operating integrated simulation model is needed providing the required precision of the results. For this purpose, a hydrological deterministic pollution-load model has been coupled with a river water-quality and a rainfall-runoff model. Wastewater treatment plants are simulated in a simplified way. The functionality of the optimization and simulation tool has been validated by analyzing a real catchment area including sewer system, WWTP, water body and natural river basin. For the optimization/rehabilitation of the urban drainage system, both innovative and approved measures have been examined and used as decision variables. As objective functions, investment costs and river water quality criteria have been used.
The paper is a proposal of calculation of internal forces and dislocations in the reinforced concrete beams before and after cracking. For the ideally elastic bars transfer matrix proposed by Rakowski was applied. The effects associated with cracking were introduced by means of the Borcz's theory in the spectrally way. Numerical example was shown. The presented attitude also enables to calculate dynamic problems and those connected with the stability of the compressed and bending cracked beams and columns.
Water resources development and management is a complex problem. It includes the design and operation of single system components, often as part of larger interrelated systems and usually on the basis of river basins. While several decades ago the dominant objective was the maximization of economic benefit, other objectives have evolved as part of the sustainable development envisaged. Today, planning and operation of larger water resources systems is practically impossible without adequate computer tools, normally being one or several models, increasingly combined with data bank management systems and multi criteria assessment procedures in decision support systems. The use of models in civil engineering already has a long history when structural engineering is considered. These design support models, however, must rather be seen as expert systems made to support the engineer with his daily work. They often have no direct link to stakeholders and the decision makers community. The scale of investigation is often much larger in water resources engineering than in structural engineering which is related to different stakeholders and decision making procedures. Still, several similarities are obvious which can be summarized as the search for a compromise solution on a complex, i.e. multiobjective and interdisciplinary decision problem. While in structural engineering e.g. aestetics, stability and energy consumption might be important evaluation criteria in addition to construction and maintenance cost other or additional criteria have to be considered in water resources planning such as political, environmental and social criteria. In this respect civil engineers tend to overemphasize technical criteria. For the future the existing expert systems should be embedded into an improved decision support shell, keeping in mind that decision makers are hardly interested in numerical modelling results. The paper will introduce into the problem and demonstrate the state of the art by means of an example.
Die Modelle früher CAD-Zeichnungen sind unstrukturierte Mengen graphischer Elemente. Heute werden CAD-Zeichnungen aus semantischen Objektmodellen von Bauwerken abgeleitet, deren Informationsbasis systematisch geordnet und deren Nutzung zweckmäßig geregelt ist. Softwaremodule werden getrennt entwickelt und unter aktiver Mitwirkung der Anwender vereint eingesetzt.Ein zentrales Problem der aktuellen Forschung und Entwicklung im CAD ist die Handhabung der Beziehungen zwischen Objekten und ihrer Änderungen in verteilten Arbeitsumgebungen. Hierfür wird ein Konzept mit der Relationenalgebra als theoretische Grundlage vorgestellt.
An einem Teil der Topologie architektonischer Räume, dem Volumenadjazenzgraphen (VAG), wird gezeigt wie topologisches Modellieren Anwendungen der Bauplanung integrieren kann. Dazu wird ein Prototyp vorgestellt, der im wesentlichen aus drei Komponenten besteht: Mit dem Anforderungsmanager werden Anforderungen eigegeben, die formal gut handhabbar sind. Mit dem Topologiemanager werden diese Anforderungen mit gezeichneten Räumen kombiniert. Die topologischen Relationen in den Zeichnungen werden mit den entsprechenden Mitteln des GIS berechnet und in eine Datenbank exportiert. Der Anforderungsprüfer vergleicht dann die Anforderungsdaten, die mit Hilfe des Anforderungsmanagers erzeugt wurden, mit den Topologiedaten. Dieser Ansatz soll zeigen, wie topologische Modelle eine Formalisierung semantisch hochstehender Informationen ermöglichen, indem sie als Eigenschaften von Graphen dargestellt werden
Der Versuch, alle vorhandenen Arten von Bauobjekten in einem Schema zu beschreiben, wird zu einem übermäßig großen Schema führen. Im internationalen Zentrum für Bauinformatik hat der Autor die Besonderheiten des Bauwesens formuliert und gefolgert, dass es genügt, in den Klassen topologische, geometrische und graphische Aspekte der Bauobjekte, sowie einige Hilfsbegriffe zu beschreiben. Ein Hauptziel bei der Entwicklung einer Sprache ist die Einfachheit des Schemas. Insgesamt werden etwa nur 50 Klassen für CAD-Systeme vorgeschlagen. In Modellen von Bauobjekten, die von CAD-Systemen erzeugt werden, betrifft der größte Anteil der Daten die geometrische Form der Elemente und ihre Raumlage. Zur Beschreibung der Bauobjekte werden nur 7 Hauptklassen verwendet: Entity, System, Clone, Context, Annotation, Figure und Process. Von besonderer Bedeutung ist die Klasse >Clone<. Sie erlaubt in kompakter Form die Beschreibung einer Menge ähnlicher Objekte, die sich in wenigen Parametern (zum Beispiel, der Lage im Raum) unterscheiden. Das vorgestellte Konzept führt zu einer starken Verringerung der Dateigröße und erleichtert das Erkennen der Objekte bei der Übergabe der Daten. Die Strukturdiagramme der Klassen wurden mit Hilfe der UML-Sprache erzeugt. Die Klassen sind auch im XML-Format beschreiben und können auf Homepage >http://www.mtu-net.ru/pavlov/bodXML< gelesen werden. Zur Prüfung der Anwendbarkeit des Schemas wurden Beispiele der Beschreibung verschiedener Bauobjekte entwickelt. Diese Beispiele sind auf o.g. Homepage angegeben