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Physikalisch nichtlineare Analyse von Aussteifungssystemen unter Einbeziehung von Lastfolgeeffekten
(2003)
Die physikalisch nichtlineare Analyse von Stahlbetontragwerken unter Berücksichtigung des Einspielverhaltens (adaptives Tragverhalten) mit Methoden der mathematischen Optimierung ist seit Jahren Gegenstand intensiver Forschungsarbeiten am Lehrstuhl Massivbau I der Bauhaus-Universität Weimar. Die dabei entwickelten Modelle und Algorithmen werden im folgenden Beitrag exemplarisch auf die Untersuchung von Aussteifungssystemen in Großtafelbauweise angewendet. Da bei diesen Gebäuden die aussteifende Konstruktion aus zusammengesetzten großformatigen Betonfertigteilen besteht, wird das Gesamttragverhalten maßgebend durch das Fugentragverhalten bestimmt. Die physikalische Nichtlinearität wird durch das Aufreißen der unbewehrten Horizontalfugen und den verschieblichen Verbund in den Vertikalfugen charakterisiert und entsprechend im Berechnungsmodell berücksichtigt. Beispielrechnungen belegen, dass für die beschriebenen Aussteifungssysteme signifikante Spannungsumlagerungen infolge des nichtlinearen Fugentragverhaltens auftreten. Weiterhin können Lastfolgeeffekte rechnerisch nachgewiesen werden. Im Gegensatz zu seismisch beanspruchten Systemen, die in kürzester Zeit wiederholt extrem beansprucht werden, ist die Eintrittswahrscheinlichkeit bemessungsrelevanter Windlasten gering.
In den zurückliegenden Jahren wurden an der Professur Massivbau I umfangreiche Untersuchungen zur Modellbildung und rechnerischen Erfassung des Tragverhaltens von Tragwerken und Tragwerkselementen aus Stahlbeton und Spannbeton unter Berücksichtigung von Rißbildungen und Plastizierungen durchgeführt. Diesen Untersuchungen liegt als einheitliches methodisches Konzept der mathematischen Problembeschreibung und Problemlösung die mathematische Optimierung zugrunde. Bereits anläßlich des IKM 1994 [1] hatte der Verfasser Gelegenheit, zusammenfassend über Ergebnisse bei der Anwendung der mathematischen Optimierung im Bereich der nichtlinearen Tragwerksanalyse zu berichten. Der vorliegende Beitrag, soll einen Überblick über seitdem untersuchte Problemkreise und dabei gewonnene Ergebnisse und Erfahrungen vermitteln. Bei der Anwendung der linearen und quadratischen Optimierung sind wegen der geforderten Linearität der Nebenbedingungen Vereinfachungen bei der Modellbildung des stahlbetonspezifischen Tragverhaltens unumgänglich. Besonders betroffen sind die Ansätze zur Beschreibungen des Materialverhaltens. Durch den Einsatz allgemeiner nichtlinearer mathematischer Optimierungsmethoden lässt sich eine methodisch bedingte Linearisierung des Berechnungsmodells umgehen....
In this paper we consider modelling of composite material with inclusions where the elastic material properties of both matrix and inclusions are uncertain and vary within prescribed bounds. Such mechanical systems, involving interval uncertainties and modelled by finite element method, can be described by parameter dependent systems of linear interval equations and process variables depending on the system solution. A newly developed hybrid interval approach for solving parametric interval linear systems is applied to the considered model and the results are compared to other interval methods. The hybrid approach provides very sharp bounds for the process variables - element strains and stresses. The sources for overestimation when dealing with interval computations are demonstrated. Based on the element strains and stresses, we introduce a definition for the values of nodal strains and stresses by using a set-theoretic approach.
Model of stressed-strained State of Multilayer Masses with regard for Non-Ideal Contact of Layers
(1997)
Thus, mathematical model stressed- strained of a condition of layered masses is constructed. The model has high accuracy. It allows to simulate slippery contact of layers without friction. Thus not the order of permitting system of the equations is increased, and at its realization the method of fenite elements does not increase quantity of required degrees freedom. The differential operators included in system the equations are similar known in the classical theory of shells. It facilitates construction of a finite element. Presence in system of the differential equations of derivative of external forces allows to use her for the decision of contact problems with a stain of contact commensurable with thickness of a masses.
The technological processes, schedules, parallel algorithms, etc., having some technological limitations and exacting increases of efficiency of their execution can be described through digraphs, on which the appropriate optimization problem (construction of optimal scheduling of tops of digraph) can be solved. The problems, researched in the given operation, have a generally following statement: The problem 1: Under the given graph G and option value h to construct parallel scheduling of tops of digraph of minimum length. Let's designate the problem S(G, h, l). The problem 2: Under the given graph G and option value l to construct parallel scheduling of tops of digraph of minimum width. Let's designate the problem S(G, l, h). The problem 3: Under the given graph G, option value h and periods of execution of operations di, i=1, …, n to construct parallel scheduling of tops of digraph of minimum length. Let's designate the problem S(G, h, di, l). The problems 1,2,3 in a case when h-arbitrary have exponential complexity. In operation the method of solution of the problem S(T, h, di, l) is offered on the basis of choice of tops having greatest weight. The approach to solution of the problem S(G, 3, l) is offered, where G the graph satisfying property : S[i] =S [i], i=1, …, l. For obtaining a rating of width of scheduling on an available estimator of length, we offer to use iterative algorithm of polynomial complexity, on which each step the current value of width of scheduling is set, which is used for specification of length of scheduling.
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< entstehen Konzepte und Prototypen für eine fachlich orientierte Planungsunterstützung. In dem Beitrag wird ein Konzept und prototypische Realisierung für die durchgängige Unterstützung des gesamten Bauaufnahmeprozesses für Altbausubstanz vorgestellt und diskutiert. Der Fokus liegt auf der frühe Phase in der Bauaufnahme als ein Baustein in einer gesamtheitlichen IT-gestützen Planungsumgebung eingegangen. Durch gezielte Aufnahme planungsrelevanter Parameter und Auswertung hinsichtlich Wirtschaftlichkeit und Wiederverwendbarkeit bzw. der Variantenüberprüfung von Nutungskonzepten, werden gerade in dieser Phase wesentliche Entscheidungen für eine kostengünstige Planung getroffen werden. In der Veröffentlichung wird der Fokus auf folgende Punkte gesetzt: - Strukturierung und Aufnahme der Informationen während der Erstbegehung - Skizzenhafte Abbildung als Basis für die Formulierung erster Entwurfsintensionen/ Variantenuntersuchungen - Navigations- und Informationsumgebung - gezielte Auswertungsmöglichkeiten (bspw. Wirtschaftlichkeitsberechnung, Wiederverwendung von Bauteilen, Kalkulation von Abrissmengen)
The conceptual structure of an application that can support the structural analysis task in a distributed collaboratory is described in (van Rooyen and Olivier 2004). The application described there has a standalone component for executing the finite element method on a local workstation in the absence of network access. This application is comparable to current, local workstation based finite element packages. However, it differs fundamentally from standard packages since the application itself, and its objects, are adapted to support distributed execution of the analysis task. Basic aspects of an object-oriented framework for the development of applications which can be used in similar distributed collaboratories are described in this paper. An important feature of this framework is its application-centred design. This means that an application can contain any number of engineering models, where the models are formed by the collection of objects according to semantic views within the application. This is achieved through very flexible classes Application and Model, which are described in detail. The advantages of the application-centred design approach is demonstrated with reference to the design of steel structures, where the finite element analysis model, member design model and connection design model interact to provide the required functionality.
Assuring global consistency in a cooperative working environment is the main focus of many nowaday research projects in the field of civil engineering and others. In this paper, a new approach based on octrees will be discussed. It will be shown that by the usage of octrees not only the management and control of processes in a network-based working environment can be optimised but also an efficient integration platform for processes from various disciplines – such as architecture and civil engineering – can be provided. By means of an octree-based collision detection resp. consistency assurance a client-server-architecture will be described as well as sophisticated information services for a further support of cooperative work.
In this paper a meshless component is presented, which internally uses the common meshless interpolation technique >Moving Least Squares<. In contrast to usual meshless integration schemes like the cell quadrature and the nodal integration in this study integration zones with triangular geometry spanned by three nodes are used for 2D analysis. The boundary of the structure is defined by boundary nodes, which are similar to finite element nodes. By using the neighborhood relations of the integration zones an efficient search algorithm to detected the nodes in the influence of the integration points was developed. The components are directly coupled with finite elements by using a penalty method. An widely accepted model to describe the fracture behavior of concrete is the >Fictitious Crack Model< which is applied in this study, which differentiates between micro cracks and macro cracks, with and without force transmission over the crack surface, respectively. In this study the crack surface is discretized by node pairs in form of a polygon, which is part of the boundary. To apply the >Fictitious Crack Model< finite interface elements are included between the crack surface nodes. The determination of the maximum principal strain at the crack tip is done by introducing an influence area around the singularity. On a practical example it is shown that the included elements improve the model by the transmission of the surface forces during monotonic loading and by the representation of the contact forces of closed cracks during reverse loading.
The availability of the WWW technology and the introduction of the Internet as basic resource like water, electricity or gas changes dramatically normal live, business and of course civil engineering. New technologies enable innovative technical solutions and offer new potential for improvements towards support of humans nature appropriate ways of working. This demands a new culture of work and collaboration. To contribute to theses challenges is a matter the discipline 'Bauinformatik' by supporting related research, development, education and training in civil engineering. This contribution to the IKM Conference 2000 in Weimar sketches selected research and education activities of the institutes of the authors on the topics of WWW based simulation systems (example WEASEL) and of WWW based project platforms (projects MorWin and TaiGer as well as an European education experiment). Both topics supports the collaboration by new ways of tele cooperation in international, heterogeneous and interdisciplinary engineering. Demonstration from this developments and projects will be used to illustrate the dimension of changes in civil engineering in due to modern ICT.