31.80 Angewandte Mathematik
Refine
Document Type
- Conference Proceeding (358)
- Article (261)
- Master's Thesis (3)
- Doctoral Thesis (2)
- Bachelor Thesis (1)
Institute
- Professur Informatik im Bauwesen (281)
- Institut für Strukturmechanik (ISM) (202)
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (82)
- Professur Stochastik und Optimierung (42)
- Graduiertenkolleg 1462 (32)
- Professur Angewandte Mathematik (17)
- Institut für Konstruktiven Ingenieurbau (IKI) (4)
- Professur Baubetrieb und Bauverfahren (2)
- Professur Computer Vision in Engineering (2)
- Professur Modellierung und Simulation - Mechanik (2)
Keywords
- Angewandte Mathematik (328)
- Strukturmechanik (183)
- Computerunterstütztes Verfahren (153)
- Angewandte Informatik (146)
- Architektur <Informatik> (75)
- Computer Science Models in Engineering; Multiscale and Multiphysical Models; Scientific Computing (74)
- Modellierung (44)
- Stochastik (40)
- Building Information Modeling (35)
- CAD (35)
Modelle und Verfahren zur Planung von langfristigen Bauprojekten unter Kapitalwertgesichtspunkten
(2003)
Langfristige Bauprojekte stellen sowohl aus technischer Sicht als auch unter Planungsgesichtspunkten überaus komplexe Herausforderungen dar. Den laufenden Auszahlungen für Löhne, Materialien und fremdbezogene Dienstleistungen stehen dabei erst nach einiger Zeit Fortschrittszahlungen für abgeschlossene Teilprojekte gegenüber. Die Durchführung eines solchen Projekts kann mithin als Investition angesehen werden. Im Gegensatz zu herkömmlichen Investitionen liegen bei Investitionsprojekten die Zeitpunkte der Ein- und Auszahlungen nicht fest, sondern sind Gegenstand der Planung. Zur Lösung des Annahme- bzw. Auswahlproblems bei Investitionsprojekten unter Sicherheit erfreut sich die Kapitalwertmethode breiter Zustimmung. Nach einer Betrachtung bekannter Ansätze zur Maximierung des Kapitalwerts von Investitionsprojekten unter Annahme eines vollkommenen Kapitalmarktes wird aufgezeigt, wie das vorgestellte Modell zur Kapitalwertmaximierung für den Fall beschränkt verfügbarer Ressourcen bzw. eines beschränkten Kreditrahmens angepasst werden kann. Die Bewertung von Investitionsprojekten auf Grundlage des optimalen Projektkapitalwerts setzt die Kenntnis des anzuwendenden Kalkulationszinsfußes und der maximalen Projektdauer voraus. Da diese Größen a priori nicht bekannt sind, entwickeln wir ein Verfahren zur Bestimmung des Kapitalwerts von Investitionsprojekten als Funktion des Kalkulationszinsfußes und der maximalen Projektdauer. Abschließend zeigen wir, wie die erzielten Resultate zur Entscheidungsunterstützung eines Bauunternehmers genutzt werden können.
The aim of researches conducted within gamsau about urban simulation, in particular Remus project, is to allow rapid modeling of large and regular urban zones, for purpose of interactive navigation (like VRML) or for realistic rendering (ray-tracing methods). One of problems to be solved in this context is the multiplicity of data formats : inputs come from different sources, and outputs are for heterogeneous systems of visualization. Typically CSG and boundary representation must be generated, treated and converted during building of models. Furthermore, the generated models can be more or less refined, depending on requests and type of use. This paper describes the general context of data models conversion, problems concerning levels of detail and implementation done in Remus, based on object oriented approach.
Discrete-continual Finite Element Method of Analysis for Three-dimensional Curvilinear Structures
(2003)
This paper is devoted to discrete-continual finite element method (DCFEM) of analysis for three-dimensional curvilinear structures. Operational and variational formulations of the problem in the ring coordinate system are presented. The discrete-continual design model for structures with constant physical and geometrical parameters in longitudinal direction is offered on the basis of so-called curvilinear discrete-continual finite elements. Element coordinate system, approximation of nodal unknowns, construction of element nodal load vector are under consideration. Element system of differential equations is formulated with use of special generalized block-structured stiffness matrix of discrete-continual finite element. Local differential relations are formulated. Resultant multipoint boundary problem for system of ordinary differential equations is given. Method of analytical solution of multipoint boundary problems in structural analysis is offered as well. Its major peculiarities include universality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditionality of resultant systems, partial Jordan decomposition of matrix of coefficients, eliminating necessity of calculation of root vectors. Brief information concerning developed software is provided.
For modeling of singular fields of stresses and deformations in elasters with a crack is offered to use of three-dimesional a special finite element. Weak compessible of elasters is taken into account on the basis of threefold approximation of fields of displacements, deformations and function of volume change. At intensive cyclic loading of the elastomer constructions with a crack it is necessary to take into account warming and large deformations at the crack top. The stress-deformed state elasters with a crack is determined from the decision of a nonlinear problem by a modified method Newton-Kantorovich. Account stress intensity factors for a rectangular plate with a various arrangement of a through crack is executed. Process of development of a surface crack and dissipative warming in prismatic a element of shift is investigated.
This is a paper about knowledge in design and how to elicit knowledge from design processes. The paper is a preparation for an empirical study of interaction in the design process. Reasonings of three authors - Schön, Broadbent and Lundequist - on design processes is presented. They all have a pragmatic perspective in common, and regard the process as an activity without a definite form. Design is seen as an activity of creating models of forms and shapes, by addressing expert knowledge in a dialogic way to problematic situations. Due to the pragmatic approach I find the pragmatist Dewey´s understanding of knowledge and elecitation of knowledge appropiate for studying design processes. According to him it is possible to build up objectified descriptions of experiences, also of such, which are based on experiences of emotional and intuitive nature. There need not be a definite border, which separates tacit knowledge from explicit knowledge - when it comes to the question of the possibility of verbal descriptions. Tacit knowledge is possible to articulate within pragmatic thinking. The conclusion is, that it is possible to study the tacit knowledge of design processes, and get some qualitative insights useful for theory building. A study of design processes can look at three different forms of knowledge. It appears as a precognitive understanding of the design situation, as integrated in the design activity - seeing the situation as something known - and in the process of creating something new.