56.03 Methoden im Bauingenieurwesen
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It has been shown that symmetries of moment functions of stochastic processes play an important role in identification of systems. They provide the group-theoretic method of choice of the model structure and model parameters. In the first stage the group-theoretic analysis of some fundamental concepts of stochastic dynamics: stochastic processes and functional series of Volterra-Wiener type has been undertaken. The analysis of group representations of the moment functions of order m for stochastic processes is the basic, original concept of the work. The following groups: symmetric Sm, special affine SAff(m), general linear GL(n, R), GL(n,C) and their subgroups play the main role in the models. In the second stage the informational entropy has been introduced as a measure of the randomness in the identified models. The group-theoretic approach underlines the unity of the nonlinear system identification and leads to useful engineering results in the range of the second-order (stochastic) theory.
For the dynamic behavior of lightweight structures like thin shells and membranes exposed to fluid flow the interaction between the two fields is often essential. Computational fluid-structure interaction provides a tool to predict this interaction and complement or eventually replace expensive experiments. Partitioned analyses techniques enjoy great popularity for the numerical simulation of these interactions. This is due to their computational superiority over simultaneous, i.e. fully coupled monolithic approaches, as they allow the independent use of suitable discretization methods and modular analysis software. We use, for the fluid, GLS stabilized finite elements on a moving domain based on the incompressible instationary Navier-Stokes equations, where the formulation guarantees geometric conservation on the deforming domain. The structure is discretized by nonlinear, three-dimensional shell elements.
Commonly used sequential staggered coupling schemes may exhibit instabilities due to the so-called artificial added mass effect. As best remedy to this problem subiterations should be invoked to guarantee kinematic and dynamic continuity across the fluid-structure interface. Since iterative coupling algorithms are computationally very costly, their convergence rate is very decisive for their usability. To ensure and accelerate the convergence of this iteration the updates of the interface position are relaxed. The time dependent, 'optimal' relaxation parameter is determined automatically without any user-input via exploiting a gradient method or applying an Aitken iteration scheme.
Dezentrale mikrocontrollerbasierende Messtechnik in der in der Leittechnik historischer Gebäude
(2003)
Im Hintergrund stehen historische Bibliotheksgebäude, deren Bestände durch ungünstige klimatische Verhältnisse in den Innenräumen ihrer der Erhaltung gefährdet sind. Damit Maßnahmen der Gebäudeleittechnik geplant werden können, ist die Aufnahme der Umweltgrößen über einen längeren Zeitraum erforderlich. Im speziellen zielen die Maßnahmen auf die Klimatechnik mit ihren Aufgaben der Heizungsregelung, Belüftungsanlagen. Ein Messsystem kann mit dem Mikrocontroller Beck >IPC@CHIP< realisiert werden. Das an der FH Fulda entwickelte Messsystem nimmt im Abstand von drei Minuten Messwerte von Lufttemperatur, Luftfeuchte, Luftdruck und UV-Intensität auf. Sie gelten als beeinflussende Größen der organischen Materialien des Fundus. Die Messwerte werden in einer elektronischen Schaltung vorverarbeitet und einem Mikrocontroller zugeführt. Dieser archiviert die Daten fortlaufend über einen Zeitraum bis zu sieben Jahren. Der Mikrocontroller ist mit seinem internen Flash-Speicher und der Ethernet-Schnittstelle in der Lage, die gesammelten Messwerte als Webserver zur Verfügung zu stellen. Wenn das Messsystem an das Internet angeschlossen wird, können die Klimaverläufe in einem herkömmlichen Internet-Browser dargestellt werden. Dafür wurde mit der Programmiersprache Java eine Visualisierungsoberfläche erstellt. Sie bietet die verschiedensten Möglichkeiten der Datenauswertung. Dazu gehört der Zugriff auf jeden einzelnen Messwert, auf Tages-, Monats- und Jahresmittelwerte und die Errechnung von Minima und Maxima. Der Flash-Speicher wurde auch dazu benutzt, Dokumentation und Bedienhinweise abzulegen, die somit über das Netzwerk abrufbar sind. Das gesamte Messsystem ist in ein Buch integriert und erfasst seit August 2002 die klimatischen Verhältnisse der Herzogin-Anna-Amalia-Bibliothek in Weimar. Nach den erfolgten Langzeitmessungen kann darüber entschieden werden, welchen Beitrag eine Gebäudeleittechnik mit integrierter Klimaregelung zur Werterhaltung der Gegenstände leisten kann.
For analysis and planing of transport networks detailed information concerning travel sequences is required. The paper examines an activity chain model to determine stochastic travel demand which individual generates in order to participate in activity or sequence of activities over the day. The transition from one activity to another depends on the activity participation decision, which is made sequentially and is constrained in space and time. Activity chains derived from travel survey data are used as a base to develop a more realistic model than conventional discrete trip models. Probabilistic concepts and statistical procedures are used to estimate characteristics of travel demand such as the number of daily out-of-home activities and transition probability from one activity to another participated by homogeneous behavioural groups. In addition, the paper compares the model for two different sized towns.
Steel structural design is an integral part of the building construction process. So far, various methods of design have been applied in practice to satisfy the design requirements. This paper attempts to acquire the Differential Evolution Algorithms in automatization of specific synthesis and rationalization of design process. The capacity of the Differential Evolution Algorithms to deal with continuous and/or discrete optimization of steel structures is also demonstrated. The goal of this study is to propose an optimal design of steel frame structures using built-up I-sections and/or a combination of standard hot-rolled profiles. All optimized steel frame structures in this paper generated optimization solutions better than the original solution designed by the manufacturer. Taking the criteria regarding the quality and efficiency of the practical design into consideration, the produced optimal design with the Differential Evolution Algorithms can completely replace conventional design because of its excellent performance.
Anhand von Ergebnissen aus dem FABEL-Projekt wird gezeigt, welche Beiträge Methoden der Künstlichen Intelligenz, insbesondere der Wissensverarbeitung beim Entwurf komplexer Gebäude leisten können. Exemplarisch werden spezialisierte wissensintensive Methoden, und allgemeine fallbasierte Methoden zum Retrieval und zur Wiederverwendung früherer Entwürfe vorgestellt. Es werden Fragen der Integration von Wissen, Fällen und Daten diskutiert. Der Prototyp des FABEL-Projekts verwendet die Metapher der virtuellen Baustelle, um die verschiedenen Methoden als Planungswerkzeuge in einem CAD-System integriert anzubieten. Ein Planungsmodell dient der zusätzlichen Orientierung des Planers. Die Ergebnisse sind interessant für den Entwurf komplexer Unikate, dürften aber auch als Zusatz zu elektronisch angebotenen Katalogen relevant sein.
Renovation's peculiarities of industrial enterprises in conditions of economic selfsufficiency
(1997)
Probleme of recrienfation of building complex, to the sharp increase of share of reconstruction works, capital repair and modernisation of in-dustrial plants are concidered in this work. The conception of develop-ment and creation of unitified system of expluatation and renovation of industrial plants are worded out. This system is based on date-computer technology and taking into conciderations of real economic relations.
A practical framework for generating cross correlated fields with a specified marginal distribution function, an autocorrelation function and cross correlation coefficients is presented in the paper. The contribution promotes a recent journal paper [1]. The approach relies on well known series expansion methods for simulation of a Gaussian random field. The proposed method requires all cross correlated fields over the domain to share an identical autocorrelation function and the cross correlation structure between each pair of simulated fields to be simply defined by a cross correlation coefficient. Such relations result in specific properties of eigenvectors of covariance matrices of discretized field over the domain. These properties are used to decompose the eigenproblem which must normally be solved in computing the series expansion into two smaller eigenproblems. Such decomposition represents a significant reduction of computational effort. Non-Gaussian components of a multivariate random field are proposed to be simulated via memoryless transformation of underlying Gaussian random fields for which the Nataf model is employed to modify the correlation structure. In this method, the autocorrelation structure of each field is fulfilled exactly while the cross correlation is only approximated. The associated errors can be computed before performing simulations and it is shown that the errors happen especially in the cross correlation between distant points and that they are negligibly small in practical situations.
Scalarization methods are a category of multiobjective optimization (MOO) methods. These methods allow the usage of conventional single objective optimization algorithms, as scalarization methods reformulate the MOO problem into a single objective optimization problem. The scalarization methods analysed within this thesis are the Weighted Sum (WS), the Epsilon-Constraint (EC), and the MinMax (MM) method. After explaining the approach of each method, the WS, EC and MM are applied, a-posteriori, to three different examples: to the Kursawe function; to the ten bar truss, a common benchmark problem in structural optimization; and to the metamodel of an aero engine exit module.
The aim is to evaluate and compare the performance of each scalarization method that is examined within this thesis. The evaluation is conducted using performance metrics, such as the hypervolume and the generational distance, as well as using visual comparison.
The application to the three examples gives insight into the advantages and disadvantages of each method, and provides further understanding of an adequate application of the methods concerning high dimensional optimization problems.
The development of the qualitative methods of investigation of dynamic systems, suggested by the authors, is the effective means for identification of dynamic systems. The results of the extensive investigations of the behaviour of linear dynamic systems and symmetrical system with double well potential under polyharmonic excitation are given in the paper. Phase space of dynamic systems is multi-dimensional. Each point of this space is characterized by not less than four co-ordinates. In particular: displacement, velocity, acceleration and time. Real space has three dimensions. It is more convenient for the analysis. We consider the phase space as limited to three dimensions, namely displacement, velocity and acceleration. Another choice of parameters of phase planes is also possible [1, 2]. Phase trajectory on a plane is of the greatest interest. It is known that accelerations of points are more sensitive to deviations of oscillations from harmonic ones. It is connected with the fact that power criteria on it are interpreted most evidently. Besides, dependence is back symmetric relative to axis of the diagram of elastic characteristic. Only the phase trajectories allow establishing a type and a level of non-linearity of a system. The results of the extensive investigations of the dynamic systems behaviour under polyharmonic excitation are given in the paper. The use of the given phase trajectories enables us to determine with a high degree of reliability the following peculiarities: - presence or absence of non-linear character of behaviour of a dynamic system; - type of non-linearity; - type of dynamic process (oscillations of the basic tone, combinative oscillations, chaotic oscillations.). Unlike existing asymptotic and stochastic methods of identification of dynamic systems, the use of the suggested technique is not connected with the use of a significant amount of computing procedures, and also it has a number of advantages at the investigation of complicated oscillations.
The reduction of oscillation amplitudes of structural elements is necessary not only for maintenance of their durability and longevity but also for elimination of a harmful effect of oscillations on people and technology operations. The dampers are widely applied for this purpose. One of the most widespread models of structural friction forces having piecewise linear relation to displacement was analysed. T The author suggests the application of phase trajectories mapping in plane "acceleration – displacement". Unlike the trajectories mapping in a plane "velocity – displacement", they don't require large number of geometrical constructions for identification of the characteristics of dynamic systems. It promotes improving the accuracy. The analytical assumptions had been verified by numerical modeling. The results show good enough coincide between numerical and analytical estimation of dissipative characteristic.
Pre-stressed structural elements are widely used in large-span structures. As a rule, they have higher stiffness characteristics. Pre-stressed rods can be applied as girders of different purpose, and as their separate parts, e.g. rods of trusses and frames. Among numerous ways of prestressing the compression of girders, trusses, and frames by tightenings from high-strength materials is under common application.
The presented work focuses on the presentation of a discrete event simulator which can be used for automated sequencing and optimization of building processes. The sequencing is based on the commonly used component–activity–resource relations taking structural and process constraints into account. For the optimization a genetic algorithm approach was developed, implemented and successfully applied to several real life steel constructions. In this contribution we discuss the application of the discrete event simulator including its optimization capabilities on a 4D process model of a steel structure of an automobile recycling facility.
What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well describe problems of a particle with internal SU(2)-symmetries, higher order symmetries are beyond this theory. Although many modifications (such as Yang-Mills theory) were suggested over the years they could not address the principal problem, the need of a n-fold factorization of the d’Alembert operator. In this paper we present the basic tools of a fractional function theory in higher dimensions, for the transport operator (alpha = 1/2 ), by means of a fractional correspondence to the Weyl relations via fractional Riemann-Liouville derivatives. A Fischer decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed.
The theory of random matrices, or random matrix theory, RMT in what follows, has been developed at the beginning of the fties to describe the sta- tistical properties of energy levels of complex quantum systems, [1], [2], [3]. In the early eighties it has enjoyed renewed interest since it has been recognized as a very useful tool in the study of numerous physical systems. Specically, it is very useful in the analysis of chaotic quantum systems. In fact, in the last years many papers appeared about the problem of quantum chaos which implies the quantization of systems whose underlying classical dynamics is irregular (i.e. chaotic). The simplest models considered in this eld are billi- ards of various shapes. From the the classical point of view, a point particle in a 2-dimensional billiard displays regular or irregular motion depending on the shape of the billiard; for instance motion in a rectangular or circular billi- ard is regular thanks to the symmetries of the boundary. On the other hand, billiards of arbitrary shapes imply chaotic motion, i.e. exponential diver- gence of initially nearby trajectories. In order to study quantum billiards we have to consider the Schroedinger equation in various 2-dimensional domains. The eigenvalues of the Schroedinger equation represent the allowed energy levels of our quantum particle in the billiard under consideration, while the eigenfunction norms represent the probability density of nding the particle in a certain position. The question of quantum chaos is whether the charac- ter of the classical motion (regular or chaotic) can in uence some properties
The subject of this talk is the problem of surface design based upon a mesh that may contain both triangular and quadrangular domains. We investigate the cases when such a combined mesh occurs more preferable for bivariate data interpolation than a pure triangulation. First we describe a modification of the well-known flipping algorithm that constructs a locally optimal combined mesh with a predefined quality criterion. Then we introduce two quality measures for triangular and quadrangular domains and present the results of a computational experiment that compares integral interpolation errors and errors in gradients caused by the piecewise surface models produced by the flipping algorithm with the introduced quality measures. The experiment shows that triangular meshes with the Delaunay quality measure provide better interpolation accuracy only if the interpolated function is strictly convex, as well as a saddle-shaped function is better interpolated by bilinear patches within a combined mesh. For a randomly shaped function combined meshes demonstrate smaller error values and better stability in compare with pure triangulations. At the end we consider other resources for mesh improvement, such as excluding >bad< points from the input set for the mesh generating procedure. Because the function values at these points should not be lost, some linear or bilinear patches are replaced by nonlinear patches that pass through the excluded points.
The stress state of a piecewise-homogeneous elastic body, which has a semi-infinite crack along the interface, under in-plane and antiplane loads is considered. One of the crack edges is reinforced by a rigid patch plate on a finite interval adjacent to the crack tip. The crack edges are loaded with specified stresses. The body is stretched at infinity by specified stresses. External forces with a given principal vector and moment act on the patch plate. The problem reduces to a Riemann-Hilbert boundary-value matrix problem with a piecewise-constant coefficient for two complex potentials in the plane case and for one in the antiplane case. The complex potentials are found explicitly using a Gaussian hypergeometric function. The stress state of the body close to the ends of the patch plate, one of which is also simultaneously the crack tip, is investigated. Stress intensity factors near the singular points are determined.
Individual views on a building product of people involved in the design process imply different models for planning and calculation. In order to interpret these geometrical, topological and semantical data of a building model we identify a structural component graph, a graph of room faces, a room graph and a relational object graph as aids and we explain algorithms to derive these relations. The application of the technique presented is demonstrated by the analysis and discretization of a sample model in the scope of building energy simulation.
The worldwide growth of communication networks and associated technologies provide the basic infrastructure for new ways of executing the engineering process. Collaboration amongst team members seperated in time and location is of particular importance. Two broad themes can be recognized in research pertaining to distributed collaboration. One theme focusses on the technical and technological aspects of distributed work, while the other emphasises human aspects thereof. The case of finite element structural analysis in a distributed collaboratory is examined in this paper. An approach is taken which has its roots in human aspects of the structural analysis task. Based on experience of how structural engineers currently approach and execute this task while utilising standard software designed for use on local workstations only, criteria are stated for a software architechture that could support collaborative structural analysis. Aspects of a pilot application and the results of qualitative performance measurements are discussed.