Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar, 16. 2003
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- Modellierung (21)
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- Baustatik (7)
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Iso-parametric finite elements with linear shape functions show in general a too stiff element behavior, called locking. By the investigation of structural parts under bending loading the so-called shear locking appears, because these elements can not reproduce pure bending modes. Many studies dealt with the locking problem and a number of methods to avoid the undesirable effects have been developed. Two well known methods are the >Assumed Natural Strain< (ANS) method and the >Enhanced Assumed Strain< (EAS) method. In this study the EAS method is applied to a four-node plane element with four EAS-parameters. The paper will describe the well-known linear formulation, its extension to nonlinear materials and the modeling of material uncertainties with random fields. For nonlinear material behavior the EAS parameters can not be determined directly. Here the problem is solved by using an internal iteration at the element level, which is much more efficient and stable than the determination via a global iteration. To verify the deterministic element behavior the results of common test examples are presented for linear and nonlinear materials. The modeling of material uncertainties is done by point-discretized random fields. To show the applicability of the element for stochastic finite element calculations Latin Hypercube Sampling was applied to investigate the stochastic hardening behavior of a cantilever beam with nonlinear material. The enhanced linear element can be applied as an alternative to higher-order finite elements where more nodes are necessary. The presented element formulation can be used in a similar manner to improve stochastic linear solid elements.
The conventional way of describing an image is in terms of its canonical pixel-based representation. Other image description techniques are based on image transformations. Such an image transformation converts a canonical image representation into a representation in which specific properties of an image are described more explicitly. In most transformations, images are locally approximated within a window by a linear combination of a number of a priori selected patterns. The coefficients of such a decomposition then provide the desired image representation. The Hermite transform is an image transformation technique introduced by Martens. It uses overlapping Gaussian windows and projects images locally onto a basis of orthogonal polynomials. As the analysis filters needed for the Hermite transform are derivatives of Gaussians, Hermite analysis is in close agreement with the information analysis carried out by the human visual system. In this paper we construct a new higher dimensional Hermite transform within the framework of Quaternionic Analysis. The building blocks for this construction are the Clifford-Hermite polynomials rewritten in terms of Quaternionic analysis. Furthermore, we compare this newly introduced Hermite transform with the Quaternionic-Hermite Continuous Wavelet transform. The Continuous Wavelet transform is a signal analysis technique suitable for non-stationary, inhomogeneous signals for which Fourier analysis is inadequate. Finally the developed three dimensional filter functions of the Quaternionic-Hermite transform are tested with traditional scalar benchmark signals upon their selectivity at detecting pointwise singularities.
On the basis of the little material available (an architecture plan and some photographs) a computer model is developed for a bullet shaped dome, part of the Belgian Congo pavilion, created by the architect Henry Lacoste for the International Colonial Exhibition of 1931 in Paris. The ingenious and elegant wooden skeleton of the dome is approximated in two stages. The first approximation focusses on the curves traced on the dome by the wooden laminae, which appear to be loxodromes, cutting the meridians by a constant angle. In a second approximation the very specific joints of the laminae are taken into consideration. The resulting computer image shows an astonishing resemblance with the photographs. Finally, the shapes and dimensions of all laminae are calculated, enabling a possible reconstruction of the dome.
Die heutige Situation in der Tragwerksplanung ist durch das kooperative Zusammenwirken einer größeren Anzahl von Fachleuten verschiedener Disziplinen (Architektur, Tragwerksplanung, etc.) in zeitlich befristeten Projektgemeinschaften gekennzeichnet. Bei der Abstimmung der hierdurch bedingten komplexen, dynamischen und vernetzten Planungsprozesse kommt es dabei häufig zu Planungsmängeln und Qualitätseinbußen. Dieser Artikel zeigt auf, wie mit Hilfe der Agententechnologie Lösungsansätze zur Verbesserung der Planungssituation erreicht werden können. Hierzu wird ein Agentenmodell für die vernetzt-kooperative Tragwerksplanung vorgestellt und anhand der Planung einer Fußgängerbogenbrücke anschaulich demonstriert. Das Agentenmodell erfasst (1) die beteiligten Fachplaner und Organisationen, (2) die tragwerksspezifischen Planungsprozesse, (3) die zugehörigen (Teil-)Produktmodelle und (4) die genutzte (Ingenieur-)Software. Hieraus leiten sich die drei Teilmodelle (1) agentenbasiertes Kooperationsmodell, (2) agentenbasierte Produktmodellintegration und (3) Modell zur agentenbasierten Software-Integration ab. Der Fokus des Artikels liegt auf der Darstellung des agentenbasierten Kooperationsmodells.
Seit mehr als fünfzig Jahren werden zur Untersuchung der Tragwerkssicherheit auch Methoden der Wahrscheinlichkeitsrechnung herangezogen. Ungeachtet der inzwischen erreichten Fortschritte und der offensichtlichen Vorzüge, konnte dieses Vorgehen in der Praxis bis jetzt noch nicht ausreichend Fuß fassen. Im Beitrag wird das Problem der Tragwerkssicherheit mit einem neuartigen Verfahren behandelt. Im Unterschied zu den üblichen probabilistischen Methoden geht es nicht von Verteilungsfunktionen aus. Vielmehr werden die maßgebenden Zufallsgrößen in den Mittelpunkt gestellt und direkt in die Rechenvorschrift eingeführt. Als mathematisches Hilfsmittel dienen die WIENERschen Chaos-Polynome. Sie stellen im Raum der Zufallsgrößen mit beschränkter Varianz eine Basis dar, mit der sich eine beliebige Zufallsgröße nach orthogonalen Polynomen GAUSSscher Zufallsgrößen entwickeln läßt. So entsteht ein effektiver Formalismus, der sich eng an die herkömmliche Deformationsmethode anlehnt und als deren probabilistische Verallgemeinerung angesprochen werden darf. Die Methode liefert die Grenzzustandsbedingung als Funktion der auf das Tragwerk wirkenden Zufallsgrößen. Die Versagenswahrscheinlichkeit kann daher durch Monte-Carlo-Simulation bestimmt werden. Die mit der Auswertung des Wahrscheinlichkeitsintegrals der First Order Reliability Method (FORM) verbundenen Schwierigkeiten werden vermieden. An einem Beispieltragwerk wird dargestellt, wie sich Veränderungen gewisser Konstruktionsparameter auf die Versagenswahrscheinlichkeit auswirken.
Maxwell's equations can be rewritten in terms of a Dirac operator D+a. The advantage is that in this setting Maxwell's equations are treated as a system of first order differential equations. To ensure the uniqueness of a non-homogeneous differential equation in the whole space additional conditions are needed.
A realistic and reliable model is an important precondition for the simulation of revitalization tasks and the estimation of system properties of existing buildings. Thereby, the main focus lies on the parameter identification, the optimization strategies and the preparation of experiments. As usual structures are modeled by the finite element method. This as well as other techniques are based on idealizations and empiric material properties. Within one theory the parameters of the model should be approximated by gradually performed experiments and their analysis. This approximation method is performed by solving an optimization problem, which is usually non-convex, of high dimension and possesses a non-differentiable objective function. Therefore we use an optimization procedure based on genetic algorithms which was implemented by using the program package SLang...
In modernen Gebäuden nimmt die Komplexität der Heizungstechnik ständig zu. Damit wird es auch immer schwieriger, ein ökologisch und ökonomisch vernünftiges Zusammenspiel der Komponenten zu gewährleisten. Die Vernetzung der verschiedenen Komponenten eines Heizsystems mittels Netzwerktechnik aus der EDV soll helfen, die Energieeffizienz zu erhöhen. Embedded Systems und Mikrocontroller fungieren als Regler für die Teilsysteme. Durch Kommunikation untereinander sollen sie ihr Regelverhalten aneinander anpassen. Eine Internetanbindung ermöglicht die Nutzung weiterer Informationen für die Betriebsführung. Außerdem kann der Internetanschluss für die Fernwartung der Anlage genutzt werden. Mit kleinen, im Webbrowser eines Rechners ausgeführten Java-Programmen, sogenannten Applets, können die Betriebszustände von Heizsystemen in Echtzeit visualisiert werden. Durch das Aufzeichnen von Betriebsdaten wird deren Analyse ermöglicht.
SYSBAT - An Application to the Building ProductionBased on Computer Supported Cooperative Work
(2003)
Our proposed solution is to enable partners of a construction project to share all the technical data produced and handled during the building production process by building a system through the use of internet technology. The system links distributed databases and allows building partners to access remotely and manipulate specific information. It provides an updated building representation that is being enriched and refined all along the building production process. A recent collaboration with Nemetschek France (subsidiary company of Nemetschek AG, AEC CAD software leader) focus on a building product repository available in a web context. The aim is to help building project actors to choose a technical solution that fits its professional needs, and maintain our information system with up to date information. It starts with the possibility to build on line building product catalogs, in order to link Allplan CAD entities with building technical features. This paper presents the conceptual approaches on which our information system is built. Starting from a general organization diagram organization, we focus on the product and the description branches of construction works (including last IFC model specifications). Our aim is to add decisional support to the construction works selection process. To do so, we consider the actor's role upon the system and the pieces of information each one needs to achieve a given task.
The research of the best building design requires a concerted design approach of both structure and foundation. Our work is an application of this approach. Our objective is also to create an interactive tool, which will be able to define, at the early design stages, the orientations of structure and foundation systems that satisfy as well as possible the client and the architect. If the concerns of these two actors are primarily technical and economical, they also wish to apprehend the environmental and social dimensions of their projects. Thus, this approach bases on alternative studies and on a multi-criterion analysis. In this paper, we present the context of our work, the problem formulation, which allows a concerted design of Structure and Foundation systems and the feasible solutions identifying process.