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A lot of real-life problems lead frequently to the solution of a complicated (large scale, multicriteria, unstable, nonsmooth etc.) nonlinear optimization problem. In order to cope with large scale problems and to develop many optimum plans a hiearchical approach to problem solving may be useful. The idea of hierarchical decision making is to reduce the overall complex problem into smaller and simpler approximate problems (subproblems) which may thereupon treated independently. One way to break a problem into smaller subproblems is the use of decomposition-coordination schemes. For finding proper values for coordination parameters in convex programming some rapidly convergent iterative methods are developed, their convergence properties and computational aspects are examined. Problems of their global implementation and polyalgorithmic approach are discussed as well.
Most of the existing seismic resistant design codes are based on the response spectrum theory. The influence of inelastic deformations can be evaluated by considering inelastic type of resisting force and then the inelastic spectrum is considerably different from the elastic one. Also, the influence of stiffness degradation and strength deterioration can be accounted for by including more precise models from material point of view. In some recent papers the corresponding changes in response spectra due to the P- Ä effect are discussed. The experience accumulated from the recent earthquakes indicates that structural pounding may considerably influence the response of structures and should be taken into account in design procedures. The most convenient way to do that is to predict the influence of the pounding on the response spectra for accelerations, velocities and displacements. Generally speaking the contact problems such as pounding are characterized by large extent of nonlinearity and slow convergence of the computational procedures. Thus obtaining spectra where the contact problem is accounted for seems very attractive from engineering point of view because could easy be implemented into the design procedures. However it is worth nothing that there is not rigorous mathematical proof that the original system can be decomposed into single equations related to single degree of freedom systems. It is the porpose of the paper to study the influence of the pounding on the response spectra and to evaluate the amplification due to the impact. For this purpose two adjacent SDOF systems are considered that are able to interact during the vibration process. This problem is solved versus the elastic stiffness ratio, which appears to be very important for such assemblage. The contact between masses is numerically simulated using opening gap elements as links. Comparisons between calculated response spectra and linear response spectra are made in order to derive analytical relationships to simply obtain the contribution of pounding. The results are graphically illustrated in response spectra format and the influence of the stiffness ratio is clarified.
The development of a consistent material model for textile reinforced concrete requires the formulation and calibration of several sub-models on different resolution scales. Each of these models represents the material structure at the corresponding scale. While the models at the micro-level are able to capture the fundamental failure and damage mechanisms of the material components (e.g. filament rupture and debonding from the matrix) their computational costs limit their application to the small size representative unit cells of the material structure. On the other hand, the macro-level models provide a sufficient performance at the expense of limited range of applicability. Due to the complex structuring of the textile reinforced concrete at several levels (filament - yarn - textile - matrix) it is a non-trivial task to develop a multiscale model from scratch. It is rather more effective to develop a set of conceptually related sub-models for each structural level covering the selected phenomena of the material behavior. The homogenized effective material properties obtained at the lower level may be verified and validated using experiments and models at the higher level(s). In this paper the development of a consistent material model for textile reinforced concrete is presented. Load carrying and failure mechanisms at the micro, meso and macro scales are described and models with the focus on the specified scales are introduced. The models currently being developed in the framework of the collaborative research center are classified and evaluated with respect to the failure mechanisms being captured. The micromechanical modeling of the yarn and bonding behavior is discussed in detail and the correspondence with the experiments focused on the selected failure and interaction mechanisms is shown. The example of modeling the bond layer demonstrates the application of the presented strategy.
Die vorliegende Dissertation zeigt am Beispiel der Entwicklung eines modernen geriatrischen Zentrums, dass Architektur einen eigenständigen Beitrag dazu leisten kann, die Probleme des Alters in der heutigen Gesellschaft anzunehmen und zu bewältigen. Die Arbeit setzt zum einen an stadtplanerischen Defiziten der vergangenen Jahrzehnte an und verdeutlicht, wie ein bedürfnisgerechtes, innerstädtisches geriatrisches Zentrum dem Leitbild der „humanen Stadt“ zu entsprechen vermag, um damit die Stadt wieder zu einem multifunktionalen Erlebnisraum für alle Bevölkerungsgruppen werden zu lassen. Zum anderen greift sie die aktuelle gesundheitspolitische Debatte auf und weist nach, dass ein solches Zentrum als integrierte Verbundlösung, die alle Versorgungsstrukturen unter einem Dach anbietet, ideal dazu geeignet ist, die Anforderungen unserer Zeit auf geriatrischem und pflegerischem Gebiet zu erfüllen. Die Anforderungen an eine derartige Einrichtung sind umfangreich und differenziert. Sie werden unter Heranziehung aktueller Forschungsergebnisse aus stadtsoziologischer, psychologischer, gerontologischer und sozialökologischer Sicht hergeleitet und in praktische architektonische bzw. baukonstruktive Handlungsanweisungen umgesetzt. Als zentrale, übergeordnete Anforderungen neben optimaler medizinischer und pflegerischer Betreuung werden herausgearbeitet: 1. Erhöhung der Lebenszufriedenheit der Bewohner 2. Stärkung der Autonomie und Selbstständigkeit der älteren Menschen 3. Befolgung des Grundsatzes >Prävention vor Rehabilitation, Rehabilitation vor Pflege< 4. Förderung eines selbstbestimmten Lebens in vertrauter Umgebung bis ins hohe Alter 5. Gewährung von Geborgenheits- und Heimatgefühlen 6. Gemeinwesenorientierung und enge Anbindung an die Strukturen des Quartiers 7. Erhaltung bzw. Stärkung der sozialen Integration der älteren und kranken Menschen 8. Förderung eines hohen Aktivitätsniveaus und einer anspruchsvollen Freizeitgestaltung 9. Bereitstellung einer anregenden sowie sicheren, weil Orientierung gebenden Umgebung Das vorgestellte geriatrische Zentrum bildet die architektonische Entsprechung zum gesellschaftlichen Strukturwandel des Alters und zu den gesundheits- und pflegepolitischen Entwicklungen unserer Zeit und leistet damit einen eigenständigen Beitrag, die gesundheitlichen und sozialen Probleme alter Menschen in unserer Gesellschaft zu lindern, in dem nutzerorientierte Gebäudestrukturen geschaffen werden, die einem integrativen Netzwerk aus Wohn-, Therapie- und Pflegeformen Raum geben. Damit steht das geriatrische Zentrum beispielhaft für eine Architektur, die stets von den Bedürfnissen der Menschen ausgeht und mit baulichen Lösungen auf die sozialen Herausforderungen unserer Zeit reagiert.
Hannah and her sisters
(2003)
Wissenschaftliches Kolloquium vom 24. bis 27. April 2003 in Weimar an der Bauhaus-Universität zum Thema: ‚MediumArchitektur - Zur Krise der Vermittlung'
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.
Skinless architecture
(2003)
Wissenschaftliches Kolloquium vom 24. bis 27. April 2003 in Weimar an der Bauhaus-Universität zum Thema: ‚MediumArchitektur - Zur Krise der Vermittlung'
Wissenschaftliches Kolloquium vom 24. bis 27. April 2003 in Weimar an der Bauhaus-Universität zum Thema: ‚MediumArchitektur - Zur Krise der Vermittlung'
The problem F|n=2|F is to minimize the given objective function F(C1,m, C2,m) of completion times Ci,m of two jobs i Î J={1, 2} processed on m machines M={1, 2, …, m}. Both jobs have the same technological route through m machines. Processing time ti,k of job iÎ J on machine kÎ M is known. Operation preemptions are not allowed. Let R2m be space of non-negative 2m-dimensional real vectors t=(t1,1,…, t1,m, t2,1,…, t2,m) with Chebyshev’s distance d(t, t*). To solve problem F|n=2|F, we can use the geometric algorithm, which includes the following steps: 1) construct digraph (V, A) for problem F|n=2|F and find so-called border vertices in (V, A); 2) construct the set of trajectories corresponding to the shortest paths Rt in digraph (V, A) from the origin vertex to each of the border vertices; 3) find an optimal path in the set Rt that represents a schedule with minimal value of the objective function F. Let path tu Î Rt be optimal for the problem F|n=2|F with operation processing times defined by vector t. If for any small positive real number e > 0 there exists vector t*Î R2m such that d(t, t*) = e and path tu is not optimal for the problem F|n=2|F with operation processing times defined by vector t*, then optimality of path tu is not stable. The main result of the paper is the proof of necessary and sufficient conditions for optimality stability of path tu. If objective function F is continuous non-decreasing (e.g., makespan, total completion time, maximal lateness or total tardiness), then to test whether optimality of the path tu Î Rt is stable takes O(m log m) time.
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.