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The paper presents a linear static analysis on continuous orthotropic thin-walled shell structures simply supported at the transverse ends with a random deformable contour of the cross section. The external loads can be random as well. The class of this structures involves most of the bridges, scaffold bridges, some roof structures etc. A numerical example of steel continuous structures on five spans with an open contour of the cross-section has been solved. The examination of the structure has used the following two computation models: a prismatic structure consisting of isotropic strips, a plates and ribs, with considering their real interaction, and a smooth orthotropic plate equivalent to the structure in the first model. The displacements and forces of the structure characterizing its stressed and deformed condition have been determined. The results obtained from the two solutions have been analyzed. The study on the structure is made with the force method in combination with the analytical finite strip method (AFSM) in displacements. The basic system is obtained by separating the superstructure from the understructure at the places of intermediate supports and consists of two parts. The first part is a single span thin-walled prismatic shell structure; the second part presents supports (columns, space frames etc.). The connection between the superstructure and intermediate supports is made under random supporting conditions. The forces at the supporting points in the direction of the connections removed are assumed to be the basic unknowns of the force method. The solution of the superstructure has been accomplished by the AFSM in displacements. The structure is divided in only one (transverse) direction into a finite number of plain strips connected to each other in longitudinal linear nodes. The three displacements of the points on the node lines and the rotation around those lines have been assumed to be the basic unknown in each node. The boundary conditions of each strip of the basic system correspond to the simply support along the transverse ends and the restraint along the longitudinal ones. The particular strip of the basic system has been solved by the method of the single trigonometric series. The method is reduced to solving a discrete structure in displacements and restoring its continuity at the places of the sections made in respect to both the displacements and forces. The two parts of the basic system have been solved in sequence under the action of single values of each of the basic unknowns and with the external load. The solution of the support part is accomplished using software for analyzing structures by the FEM. The basic unknown forces have been determined from system of canonic equations, the conditions of the deformations continuity on the places of the removed connections under superstructure and intermediate supports. The final displacements and forces at a random point of a continuous superstructure have been determined using the principle of superposition. The computations have been carried by software developed with Visual Fortran version 5.0 for PC.
n allen Stadien des Planungsprozesses von Gebäuden nehmen Entwurfsentscheidungen starken Einfluß auf die bauphysikalische Qualität eines Gebäudes. Im Rahmen dieses Beitrags wird deshalb die Integration bauphysikalischer Gesichtspunkte in den Planungsprozeß vorgestellt, bei welcher dem Fachingenieur geeignete Werkzeuge zur Verfügung gestellt werden, die es erlauben, das zu planende Gebäude als Einheit von baulicher Hülle, Anlagentechnik und Nutzung zu betrachten. Darauf aufbauend wird eine gezielte Überprüfung des Gebäudemodells mit Hilfe von bauphysikalischen Nachweisen und Simulationen durchgeführt, um eine bauphysikalische Entscheidungsunterstützung im Entwurfsprozeß vornehmen zu können. Das erarbeitete Programmsystem VAMOS (Verteilte Applikation zur Modellierung und Optimierung bauphysikalischer Systeme) nutzt die Middleware-Technologie CORBA konsequent für die dynamische, netzwerkweite Integration fünf verschiedener aufgabenspezifischer Komponenten: Die erste Komponente zur Modellerzeugung und -manipulation wurde auf Basis des CAD-Systems AutoCAD als ARX-Laufzeitmodul erstellt. Dadurch ist es einerseits möglich, bestehende Planungsabläufe unter Verwendung von Standardwerkzeugen des entwerfenden Ingenieurs zu erhalten, andererseits können die umfangreichen Fähigkeiten des AutoCAD-Geometriekerns für die Erstellung komplexer dreidimensionaler Bauteilgeometrien genutzt werden. In der zweiten Komponenten wurde eine objektorientiertes Datenbanksystem in das Gesamtsystem integriert, das auch für die Verwaltung verschiedener Versionen von Gebäudeentwürfen verwendet wird. Die bauphysikalischen Nachweise, die auf Basis der zentral im Netzwerk bereitgestellten Modelle automatisiert durchgeführt werden können, wurden auf Basis der Java-Applet-Technologie abgebildet, um die zentrale Wartbarkeit und Anpassbarkeit an Veränderungen der Vorschriften und Gesetzesgrundlagen zu ermöglichen. Dabei wurden sowohl die aktuelle Wärmeschutzverordnung (WSVO) als auch die Energieeinsparverordnung (EnEV) berücksichtigt. Für die ganzheitliche Erfassung des Gebäudeenergiehaushaltes wurde das Simulationsprogramm TRNSYS um ein Schnittstellenmodul unter Verwendung von IDL-Interfaces erweitert, so daß die direkte Integration der umfangreichen Funktionalitäten in das Gesamtsystem möglich wird. Um die Modellierung auf der Basis von realistischen Parametern durchführen zu können, wurde eine Komponente entwickelt, die unter Verwendung der Technologie mobiler Internet-Agenten die dynamische Recherche von herstellerspezifischen Parametern im Internet ermöglicht.
Im Hinblick auf einen effizienten Austausch von Planungsinformationen bei mittleren und größeren Bauprojekten werden in den letzten Jahren vermehrt internetbasierte Projektkommunikationssysteme (PKS) eingesetzt, welche neben einer netzwerkweiten Bereitstellung von Dateien auch klassische Aufgaben des Planmanagements hinsichtlich der Bereitstellung von Dokumenten-Verteiler und der Abbildung der Planungshistorie übernehmen. Aufgrund von leicht zu nutzenden Mechanismen zur Bereitstellung von Planungsinformationen durch die Fachplaner und die zentrale Speicherung aller anfallenden Dokumente entstehen dabei leicht erhebliche Datenmengen, bei denen effiziente Verwaltungsmechanismen unabdingbar sind. Die lediglich auf Baumstrukturen basierenden Organisationsstrukturen, welche vor allem eine chronologische Sortierung erlauben, reichen deshalb bei weitem nicht aus. Weiterhin ist eine effiziente Gestaltung der Projektdurchführung mit diesem rein dokumentenbasierten Ansätzen allein nicht möglich, da zwischen den bereitgestellten Informationen nur unzureichend Verknüpfungen erstellt werden können. Fachliche Beziehungen somit nicht abgebildet werden können, so dass insbesondere bei durchgeführten Änderungen die zugrunde liegenden Planungsinformationen nicht konsistent gehalten und Auswirkungen von Planungsänderungen auf andere Gewerke nur schwer ermittelt werden können....
The paper is dedicated to decidability exploration of market segmentation problem with the help of linear convolution algorithms. Mathematical formulation of this problem represents interval task of bipartite graph cover by stars. Vertices of the first partition correspond to types of commodities, vertices of the second – to customers groups. Appropriate method is offered for interval problem reduction to two-criterion task that has one implemented linear convolution algorithm. Unsolvability with the help of linear convolution algorithm of multicriterion, and consequently interval, market segmentation problem is proved.
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
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
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.
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.
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.
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 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.
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.
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 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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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
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
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.
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.
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.
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.
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.
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.
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.
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 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.
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 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.