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- 2003 (197) (remove)
In vorliegender Arbeit wird beispielhaft die Möglichkeit der Integration der Arbeitssicherheit in das 4D-Modell (virtueller Ablaufplan des 3D-Modells) eines Bauwerkes analysiert und visualisiert. Dabei wurde die Sicherung eines Treppenaufgangs als Arbeitsposition des SiGeKo-Planes in den virtuellen Ablaufplan des 3D-Modells übernommen. Zur Erleichterung des Visualisierungsaufwandes werden ebenso Technologien untersucht, die den Zugriff auf 3D-Bibliotheken ermöglichen, die entsprechende Werkzeuge des Arbeitsschutzes für den SiGeKo-Planer vorhalten.
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.
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.
Das zentrale Problem der Arbeit ist die Untersuchung der Rolle von Orten und Räumen für die Evolution bestimmter visueller Medien im 19. Jahrhundert. Die historische Schwelle wird mit der Erfindung des Panoramas, der Geburt der Passage und der Reform der Bibliothek um 1800 markiert. Ausgehend von der Systemtheorie Luhmanns und dem französischen Poststrukturalismus (Baudry, Lyotard, Foucault) entwickelt die Arbeit dazu einen Begriff des Dispositivs, der zur Untersuchung des Verhältnisses von Objekt, Betrachter und Apparat verwendet wird. Im Mittelpunkt steht dabei das Wechselverhältnis von Wahrnehmung und Kommunikation. Mit Bezug auf Kants »Kritik der Urteilskraft« wird dabei ein neuer Vorschlag für den Code des Kunstsystems – gestaltet/nicht gestaltet – entwickelt. Die zentralen Begriffe für die Definition des Dispositivs sind Abschirmung, Distanzierung und Inszenierung. Damit wird der Versuch unternommen, die Frage des Raumes in der Systemtheorie zu klären. Die historische Analyse beschreibt die Entwicklung vom Theater zum Kino im 19. und frühen 20. Jahrhundert und fokussiert dabei vor allem auf das Festspielhaus Wagners in Bayreuth. Abschließend wird der Beitrag der Warenhäuser und des Schaufensters zur Evolution des Wirtschaftsystems untersucht.
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.
Die Bearbeitung von Bauprojekten erfordert ein hohes Maß an Fachwissen verschiedener Disziplinen. Dabei kommt eine Vielzahl spezialisierter Fachmodelle zum Einsatz. Zur Übernahme der Daten von anderen Planern in das eigene, neu zu erstellende Fachmodell sind die verfügbaren Inhalte aus verschiedenen Modellen vom Fachplaner entsprechend seiner Anforderungen anzupassen und um spezifische Inhalte zu ergänzen. Dabei ergeben sich Beziehungen, welche die Zusammenhänge und Abhängigkeiten der Fachmodelle untereinander aufzeigen. Eine zugleich allgemeingültige sowie vollständige Vordefinition des durch die Beziehungen beschriebenen Modellverbundes ist kaum möglich. Zur rechnerinternen Abbildung erfolgt aus diesem Grund eine Zerlegung des Modellverbundes in Partialmodelle und entsprechende Verknüpfungen. Die Beschaffenheit des Beziehungsgeflechtes hängt sowohl von der Qualität der Datenmodelle als auch von der Beschreibungsgüte der Verknüpfungstypen, deren Definition ein hohes Maß an Fachwissen erfordern, ab. Mit einem Konzept zur Strukturierung und Zerlegung der Verbindungen in Basiselemente sowie der Integrationsmöglichkeit zu komplexeren Elementen wird eine einfachere Erstellung, Wartung und Anpassung von umfassenden baufachlichen Inhalten ermöglicht. Zur Sicherung einer hochwertigen Beschreibung des Modellverbundes ist ein an die Fähigkeiten des Ingenieurs ausgerichteter Zugang zur Spezifikation und Anpassung der Beziehungsdefinitionen unverzichtbar.
As it is well known, the approximation theory of complex valued functions is one of the main fields in function theory. In general, several aspects of approximation and interpolation are only well understood by using methods of complex analysis. It seems natural to extend these techniques to higher dimensions by using Clifford Analysis methods or, more specific, in lower dimensions 3 or 4, by using tools of quaternionic analysis. One starting point for such attempts has to be the suitable choice of complete orthonormal function systems that should replace the holomorphic function systems used in the complex case. The aim of our contribuition is the construction of a complete orthonormal system of monogenic polynomials derived from a harmonic function system by using sistematically the generalized quaternionic derivative
Hyperbolic Qp-scales
(2003)
The Qp-scales were first introduced in [1] as interpolation spaces between the Bloch and Dirichlet spaces in the complex space. ... However, such treatment presents the disadvantage of only considering the Euclidean case. In order to obtain an approach to homogeneous hyperbolic manifolds, the projective model of Gel'fand was retaken in [2]. With the help of a convenient fundamental solution for the hyperbolic (homogeneous of degree ®) D® (see [5]) it was introduced in [7] and [3] equivalent Qp scales for homogeneous hyperbolic spaces. In this talk we shall present and study some properties of this hyperbolic scale.
The goal of the collaborative research center (SFB 532) >Textile reinforced concrete (TRC): the basis for the development of a new material technology< installed in 1998 at the Aachen University is a complex assessment of mechanical, chemical, economical and productional aspects in an interdisciplinary environment. The research project involves 10 institutes performing parallel research in 17 projects. The coordination of such a research process requires effective software support for information sharing in form of data exchange, data analysis and data archival. Furthermore, the processes of experiment planning and design, modification of material compositions and design parameters and development of new material models in such an environment call for systematic coordination applying the concepts of operational research. Flexible organization of the data coming from several sources is a crucial premise for a transparent accumulation of knowledge and, thus, for a successful research in a long run. The technical information system (TRC-TIS) developed in the SFB 532 has been implemented as a database-powered web server with a transparent definition of the product and process model. It serves as an intranet server with access domains devoted to the involved research groups. At the same time, it allows the presentation of selected results just by granting a data object an access from the public area of the server via internet.