@inproceedings{Markwardt, author = {Markwardt, Klaus}, title = {WAVELET ANALYSIS AND FREQUENCY BAND DECOMPOSITIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2989}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29895}, pages = {22}, abstract = {In many applications such as parameter identification of oscillating systems in civil enginee-ring, speech processing, image processing and others we are interested in the frequency con-tent of a signal locally in time. As a start wavelet analysis provides a time-scale decomposition of signals, but this wavelet transform can be connected with an appropriate time-frequency decomposition. For instance in Matlab are defined pseudo-frequencies of wavelet scales as frequency centers of the corresponding bands. This frequency bands overlap more or less which depends on the choice of the biorthogonal wavelet system. Such a definition of frequency center is possible and useful, because different frequencies predominate at different dyadic scales of a wavelet decomposition or rather at different nodes of a wavelet packet decomposition tree. The goal of this work is to offer better algorithms for characterising frequency band behaviour and for calculating frequency centers of orthogonal and biorthogonal wavelet systems. This will be done with some product formulas in frequency domain. Now the connecting procedu-res are more analytical based, better connected with wavelet theory and more assessable. This procedures doesn't need any time approximation of the wavelet and scaling functions. The method only works in the case of biorthogonal wavelet systems, where scaling functions and wavelets are defined over discrete filters. But this is the practically essential case, because it is connected with fast algorithms (FWT, Mallat Algorithm). At the end corresponding to the wavelet transform some closed formulas of pure oscillations are given. They can generally used to compare the application of different wavelets in the FWT regarding it's frequency behaviour.}, subject = {Architektur }, language = {en} } @inproceedings{LutherKoenke, author = {Luther, Torsten and K{\"o}nke, Carsten}, title = {INVESTIGATION OF CRACK GROWTH IN POLYCRYSTALLINE MESOSTRUCTURES}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2988}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29886}, pages = {11}, abstract = {The design and application of high performance materials demands extensive knowledge of the materials damage behavior, which significantly depends on the meso- and microstructural complexity. Numerical simulations of crack growth on multiple length scales are promising tools to understand the damage phenomena in complex materials. In polycrystalline materials it has been observed that the grain boundary decohesion is one important mechanism that leads to micro crack initiation. Following this observation the paper presents a polycrystal mesoscale model consisting of grains with orthotropic material behavior and cohesive interfaces along grain boundaries, which is able to reproduce the crack initiation and propagation along grain boundaries in polycrystalline materials. With respect to the importance of modeling the geometry of the grain structure an advanced Voronoi algorithm is proposed to generate realistic polycrystalline material structures based on measured grain size distribution. The polycrystal model is applied to investigate the crack initiation and propagation in statically loaded representative volume elements of aluminum on the mesoscale without the necessity of initial damage definition. Future research work is planned to include the mesoscale model into a multiscale model for the damage analysis in polycrystalline materials.}, subject = {Architektur }, language = {en} } @inproceedings{Loemker, author = {L{\"o}mker, Thorsten Michael}, title = {SOLVING REVITALIZATION-PROBLEMS BY THE USE OF A CONSTRAINT PROGRAMING LANGUAGE}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2987}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29874}, pages = {13}, abstract = {This research focuses on an approach to describe principles in architectural layout planning within the domain of revitalization. With the aid of mathematical rules, which are executed by a computer, solutions to design problems are generated. Provided that "design" is in principle a combinatorial problem, i.e. a constraint-based search for an overall optimal solution of a problem, an exemplary method will be described to solve such problems in architectural layout planning. To avoid conflicts relating to theoretical subtleness, a customary approach adopted from Operations Research has been chosen in this work. In this approach, design is a synonym for planning, which could be described as a systematic and methodical course of action for the analysis and solution of current or future problems. The planning task is defined as an analysis of a problem with the aim to prepare optimal decisions by the use of mathematical methods. The decision problem of a planning task is represented by an optimization model and the application of an efficient algorithm in order to aid finding one or more solutions to the problem. The basic principle underlying the approach presented herein is the understanding of design in terms of searching for solutions that fulfill specific criteria. This search is executed by the use of a constraint programming language.}, subject = {Architektur }, language = {en} } @inproceedings{LourensvanRooyen, author = {Lourens, Eliz-Mari and van Rooyen, G.C.}, title = {Automating Preliminary Column Force Calculations In Multy-Storey Buildings}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2986}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29864}, pages = {10}, abstract = {In civil engineering practice, values of column forces are often required before any detailed analysis of the structure has been performed. One of the reasons for this arises from the fast-tracked nature of the majority of construction projects: foundations are laid and base columns constructed whilst analysis and design are still in progress. A need for quick results when feasibility studies are performed or when evaluating the effect of design changes on supporting columns form other situations in which column forces are required, but where a detailed analysis to get these forces seems superfluous. Thus it was concluded that the development of an efficient tool for column force calculations, in which the extensive input required in a finite element analysis is to be avoided, would be highly beneficial. The automation of the process is achieved by making use of a Voronoi diagram. The Voronoi diagram is used a) for subdividing the floor into influence areas and b) as a basis for automatic load assignment. The implemented procedure is integrated into a CAD system in which the relevant geometric information of the floor, i.e. its shape and column layout, can be defined or uploaded. A brief description of the implementation is included. Some comparative results and considerations regarding the continuation of the study are given.}, subject = {Architektur }, language = {en} } @inproceedings{StoimenovaLinsDatchevaetal., author = {Stoimenova, Eugenia and Lins, Yvonne and Datcheva, Maria and Schanz, Tom}, title = {INVERSE MODELLING OF SOIL HYDRAULIC CHARACTERISTIC FUNCTIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2985}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29858}, pages = {12}, abstract = {In this paper we evaluate 2D models for soil-water characteristic curve (SWCC), that incorporate the hysteretic nature of the relationship between volumetric water content θ and suction ψ. The models are based on nonlinear least squares estimation of the experimental data for sand. To estimate the dependent variable θ the proposed models include two independent variables, suction and sensors reading position (depth d in the column test). The variable d represents not only the position where suction and water content are measured but also the initial suction distribution before each of the hydraulic loading test phases. Due to this the proposed 2D regression models acquire the advantage that they: (a) can be applied for prediction of θ for any position along the column and (b) give the functional form for the scanning curves.}, subject = {Architektur }, language = {en} } @inproceedings{LehnerHartmann, author = {Lehner, Karlheinz and Hartmann, Dietrich}, title = {USING INTERVAL ANALYSIS FOR STRUCTURAL ENGINEERING PROBLEMS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2984}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29844}, pages = {10}, abstract = {Interval analysis extends the concept of computing with real numbers to computing with real intervals. As a consequence, some interesting properties appear, such as the delivery of guaranteed results or confirmed global values. The former property is given in the sense that unknown numerical values are in known to lie in a computed interval. The latter property states that the global minimum value, for example, of a given function is also known to be contained in a interval (or a finite set of intervals). Depending upon the amount computation effort invested in the calculation, we can often find tight bounds on these enclosing intervals. The downside of interval analysis, however, is the mathematically correct, but often very pessimistic size of the interval result. This is in particularly due to the so-called dependency effect, where a single variable is used multiple times in one calculation. Applying interval analysis to structural analysis problems, the dependency has a great influence on the quality of numerical results. In this paper, a brief background of interval analysis is presented and shown how it can be applied to the solution of structural analysis problems. A discussion of possible improvements as well as an outlook to parallel computing is also given.}, subject = {Architektur }, language = {en} } @inproceedings{Kravchenko, author = {Kravchenko, Vladislav}, title = {NEW APPLICATIONS OF PSEUDOANALYTIC FUNCTION THEORY}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2983}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29835}, pages = {3}, abstract = {We show a close relation between the Schr{\"o}dinger equation and the conductivity equation to a Vekua equation of a special form. Under quite general conditions we propose an algorithm for explicit construction of pseudoanalytic positive formal powers for the Vekua equation that as a consequence gives us a complete system of solutions for the Schr{\"o}dinger and the conductivity equations. Besides the construction of complete systems of exact solutions for the above mentioned second order equations and the Dirac equation, we discuss some other applications of pseudoanalytic function theory.}, subject = {Architektur }, language = {en} } @inproceedings{Krasnov, author = {Krasnov, Yakov}, title = {ANALYTIC FUNCTIONS IN OPERATOR VARIABLES AS SOLUTION TO PDES}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2982}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29822}, pages = {16}, abstract = {Procedures of a construction of general solutions for some classes of partial differential equations (PDEs) are proposed and a symmetry operators approach to the raising the orders of the polynomial solutions to linear PDEs are develops. We touch upon an ''operator analytic function theory'' as the solution of a frequent classes of the equations of mathematical physics, when its symmetry operators forms vast enough space. The MAPLE© package programs for the building the operator variables is elaborated also.}, subject = {Architektur }, language = {en} } @inproceedings{KoenigTauscher, author = {K{\"o}nig, Markus and Tauscher, Eike}, title = {BERECHNUNG VON BAUABL{\"A}UFEN MIT VERSCHIEDENEN AUSF{\"U}HRUNGSVARIANTEN}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2981}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29816}, pages = {11}, abstract = {Prozesse im Bauingenieurwesen sind komplex und beinhalten eine große Anzahl verschiedener Aufgaben mit vielen logischen Abh{\"a}ngigkeiten. Basierend auf diesen projektspezifischen Abh{\"a}ngigkeiten wird gew{\"o}hnlich ein Bauablaufplan manuell erstellt. In der Regel existieren mehrere Varianten und somit alternative Bauabl{\"a}ufe um ein Projekt zu realisieren. Welche dieser Ausf{\"u}hrungsvarianten zur praktischen Anwendung kommt, wird durch den jeweiligen Projektmanager bestimmt. Falls {\"A};nderungen oder St{\"o}rungen w{\"a}hrend des Bauablaufs auftreten, m{\"u}ssen die davon betroffenen Aufgaben und Abl{\"a}ufe per Hand modifiziert und alternative Aufgaben sowie Abl{\"a}ufe stattdessen ausgef{\"u}hrt werden. Diese Vorgehensweise ist oft sehr aufw{\"a}ndig und teuer. Aktuelle Forschungsans{\"a}tze besch{\"a}ftigen sich mit der automatischen Generierung von Bauabl{\"a}ufen. Grundlage sind dabei Aufgaben mit ihren erforderlichen Voraussetzungen und erzeugten Ergebnissen. Im Rahmen dieses Beitrags wird eine Methodik vorgestellt, um Bauabl{\"a}ufe mit Ausf{\"u}hrungsvarianten in Form von Workflow-Netzen zu jeder Zeit berechnen zu k{\"o}nnen. Die vorgestellte Methode wird anhand eines Beispiels aus dem Straßenbau schematisch dargestellt.}, subject = {Architektur }, language = {de} } @inproceedings{KoenigLang, author = {K{\"o}nig, Markus and Lang, H.}, title = {ANWENDUNG DES CASE-BASED REASONING BEI DER ERMITTLUNG VON VARIANTEN F{\"u}R DEN OBERBAU VON VERKEHRSFL{\"A}CHEN}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2980}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29808}, pages = {9}, abstract = {F{\"u}r die Ausf{\"u}hrung des Oberbaus von Verkehrsfl{\"a}chen existiert in Abh{\"a}ngigkeit von projektspezifischen Voraussetzungen eine Vielzahl von verschiedenen Varianten. Aufgrund von Erfahrungen der Projektplaner werden bei {\"a}hnlichen Voraussetzungen h{\"a}ufig gleichartige Ausf{\"u}hrungsvarianten gew{\"a}hlt. Um eine m{\"o}gliche L{\"o}sungsvariante f{\"u}r den Straßenoberbau zu erhalten, sollten daher nicht nur die gesetzlichen Richtlinien sondern auch bereits beendete Projekte ber{\"u}cksichtigt werden. Im Rahmen eines Wissenschaftlichen Kollegs an der Bauhaus-Universit{\"a}t Weimar wurde die Anwendung des Case-Based Reasoning f{\"u}r die Auswahl von Ausf{\"u}hrungsvarianten f{\"u}r den Straßenoberbau untersucht. In diesem Beitrag werden die grundlegenden Konzepte des Case-Based Reasoning und die Bestimmung von {\"a}hnlichen Varianten anhand einfacher Beispiele aus dem Straßenoberbau dargestellt.}, subject = {Architektur }, language = {de} }