@inproceedings{HildebrandWudtkeWerner, author = {Hildebrand, J{\"o}rg and Wudtke, Idna and Werner, Frank}, title = {M{\"O}GLICHKEITEN DER MATHEMATISCHEN BESCHREIBUNG VON PHASENUMWANDLUNGEN IM STAHL BEI SCHWEIß- UND WIG-NACHBEHANDLUNGSPROZESSEN}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2968}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29684}, pages = {13}, abstract = {In the final decades many scientists were occupied intensively with the change of materials during a process and their mathematical descriptions. The extensive and extensive analyses were supported by the advanced computer science. A mathematical description of the phase transformation is a condition for a realistic FE simulation of the state of microstructure. It is possible to simulate the temperature and stress field also in complex construction based on the state of microstructure. In the last years a great number of mathematical models were expanded to describe the transformation between different phases. For the development of the models for transformation kinetics it is practical to subdivide into isothermal and non-isothermal processes according to the thermal conditions. Some models for the description of the transformation with non-isothermal processes represent extensions for isothermal of processes. A part of parameters for the describing equations can be derived from the time-temperature-transformation diagrams in the literature. Furthermore the two possibilities of transformation are considered by different models - diffusion controlled and not diffusion controlled. The material-specific characteristics can be simulated during the transformation for each individual phase in a realistic FE analyses. Also new materials can be simulated after a modification of the parameters in the describing equations for the phase transformation. The effects in the temperature and stress field are a substantial reason for the investigation of the phase transformation during the welding and TIG-dressing processes.}, subject = {Architektur }, language = {de} } @inproceedings{Heuer, author = {Heuer, Andreas}, title = {THREE-DIMENSIONAL MODELING OF CONCRETE WITH DAMAGE AND PLASTICITY}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2967}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29671}, pages = {15}, abstract = {The concrete is modeled as a material with damage and plasticity, whereat the viscoplastic and the viscoelastic behaviour depends on the rate of the total strains. Due to the damage behaviour the compliance tensor develops different properties in tension and compression. There have been tested various yield surfaces and flow rules, damage rules respectively to their usability in a concrete model. One three-dimensional yield surface was developed from a failure surface based on the Willam--Warnke five-parameter model by the author. Only one general uni-axial stress-strain-relation is used for the numeric control of the yield surface. From that curve all necessary parameters for different strengths of concrete and different strain rates can be derived by affine transformations. For the flow rule in the compression zone a non associated inelastic potential is used, in the tension zone a Rankine potential. Conditional on the time-dependent formulation, the symmetry of the system equations is maintained in spite of the usage of non-associated potentials for the derivation of the inelastic strains. In case of quasi statical computations a simple viscoplastic law is used that is rested on an approach to Perzyna. The principle of equality of dissipation power in the uni-axial and the three-axial state of stress is used. It is modified by a factor that depends on the actual stress ratio and in comparison with the Kupfer experiments it implicates strains that are more realistic. The implementation of the concrete model is conducted in a mixed hybrid finite element. Examples in the structural level are introduced for verification of the concrete model.}, subject = {Architektur }, language = {en} } @inproceedings{Heinrich, author = {Heinrich, Timo}, title = {KENNZEICHNUNGSBASIERTER ZUGRIFF VON PROZESSMODELLEN AUF OBJEKTBEST{\"A}NDE DES BAUWESENS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2966}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29669}, pages = {13}, abstract = {F{\"u}r eine beherrschbare Koordination und Durchf{\"u}hrung von Planungsaufgaben in Bauprojekten wird der Planungsprozess zunehmend in formalisierten Modellen - Prozessmodellen - beschrieben. Die Produktmodellforschung ihrerseits widmet sich der Speicherung von Planungsdaten in Form von objektorientierten Modellen im Rechner. Hauptaugenmerk sind dabei die Wahrung der Konsistenz und die Modellierung von Abh{\"a}ngigkeiten innerhalb dieses Planungsmaterials. Der Bezug zu den Akteuren der Planung wird nicht direkt hergestellt. Ein formal beschriebener Planungsprozesses kann in der Praxis noch nicht derart realisiert werden, dass ein Zugriff auf Einzelobjekte des Planungsprozesses gew{\"a}hrleistet ist. Bestehende Planungsunterst{\"u}tzungs- und Workflowmanagement-Systeme abstrahieren und ordnen das Planungsmaterial nach wie vor auf Dateiebene. Der vorliegende Artikel beschreibt eine Methode f{\"u}r die geeignete Verbindung von formalisierten Prozessmodellen in der Bauplanung mit den Einzelobjekten, die in den modellorientierten Objektmengen kodiert sind. Dabei wird die Zugeh{\"o}rigkeit bestimmter Objekte zu Pl{\"a}nen und Dokumenten (zum Zwecke des Datenaustauschs) nicht l{\"a}nger durch die physische Zuordnung zu Dateien festgelegt. Es wird ein formales Beschreibungsmittel vorgestellt, welches die entsprechende Teilmengenbildung aus der Gesamtheit der Planungsobjekte erm{\"o}glicht. F{\"u}r die bisherigen Formen des Datenaustausches werden aus den Objektmodellen der Planung Teilmengen herausgel{\"o}st und physikalisch zwischen den Planern transportiert. Das neue Beschreibungsmittel hingegen erlaubt es, die Bildungsvorschrift f{\"u}r Objektteilmengen statt der Mengen selbst zwischen den Planern auszutauschen. Der Zugriff auf die konkreten Objekte findet dann direkt modellbasiert statt.}, subject = {Architektur }, language = {de} } @inproceedings{HapurneNistor, author = {Hapurne, Tania Mariana and Nistor, S.}, title = {USING MODERN TECHNOLOGIES TO UPGRADE EDILITARY URBAN INFRASTRUCTURE}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2965}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29650}, pages = {6}, abstract = {Adopting the European laws concerning environmental protection will require sustained efforts of the authorities and communities from Romania; implementing modern solutions will become a fast and effective option for the improvement of the functioning systems, in order to prevent disasters. As a part of the urban infrastructure, the drainage networks of pluvial and residual waters are included in the plan of promoting the systems which protect the environmental quality, with the purpose of integrated and adaptive management. The paper presents a distributed control system for sewer network of Iasi town. Unsatisfactory technical state of the actual sewer system is exposed, focusing on objectives related to implementation of the control system. The proposed distributed control system of Iasi drainage network is based on the implementation of the hierarchic control theory for diagnose, sewer planning and management. There are proposed two control levels: coordinating and local execution. Configuration of the distributed control system, including data acquisition and conversion equipment, interface characteristics, local data bus, data communication network, station configuration are widely described. The project wish to be an useful instrument for the local authorities in the preventing and reducing the impact of future natural disasters over the urban areas by means of modern technologies.}, subject = {Architektur }, language = {en} } @inproceedings{HaefnerKesselKoenke, author = {H{\"a}fner, Stefan and Kessel, Marco and K{\"o}nke, Carsten}, title = {MULTIPHASE B-SPLINE FINITE ELEMENTS OF VARIABLE ORDER IN THE MECHANICAL ANALYSIS OF HETEROGENEOUS SOLIDS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2964}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29643}, pages = {37}, abstract = {Advanced finite elements are proposed for the mechanical analysis of heterogeneous materials. The approximation quality of these finite elements can be controlled by a variable order of B-spline shape functions. An element-based formulation is developed such that the finite element problem can iteratively be solved without storing a global stiffness matrix. This memory saving allows for an essential increase of problem size. The heterogeneous material is modelled by projection onto a uniform, orthogonal grid of elements. Conventional, strictly grid-based finite element models show severe oscillating defects in the stress solutions at material interfaces. This problem is cured by the extension to multiphase finite elements. This concept enables to define a heterogeneous material distribution within the finite element. This is possible by a variable number of integration points to each of which individual material properties can be assigned. Based on an interpolation of material properties at nodes and further smooth interpolation within the finite elements, a continuous material function is established. With both, continuous B-spline shape function and continuous material function, also the stress solution will be continuous in the domain. The inaccuracy implied by the continuous material field is by far less defective than the prior oscillating behaviour of stresses. One- and two-dimensional numerical examples are presented.}, subject = {Architektur }, language = {en} } @inproceedings{HaefnerKoenke, author = {H{\"a}fner, Stefan and K{\"o}nke, Carsten}, title = {DAMAGE SIMULATION OF HETEROGENEOUS SOLIDS BY NONLOCAL FORMULATIONS ON ORTHOGONAL GRIDS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2963}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29638}, pages = {15}, abstract = {The present paper is part of a comprehensive approach of grid-based modelling. This approach includes geometrical modelling by pixel or voxel models, advanced multiphase B-spline finite elements of variable order and fast iterative solver methods based on the multigrid method. So far, we have only presented these grid-based methods in connection with linear elastic analysis of heterogeneous materials. Damage simulation demands further considerations. The direct stress solution of standard bilinear finite elements is severly defective, especially along material interfaces. Besides achieving objective constitutive modelling, various nonlocal formulations are applied to improve the stress solution. Such a corrective data processing can either refer to input data in terms of Young's modulus or to the attained finite element stress solution, as well as to a combination of both. A damage-controlled sequentially linear analysis is applied in connection with an isotropic damage law. Essentially by a high resolution of the heterogeneous solid, local isotropic damage on the material subscale allows to simulate complex damage topologies such as cracks. Therefore anisotropic degradation of a material sample can be simulated. Based on an effectively secantial global stiffness the analysis is numerically stable. The iteration step size is controlled for an adequate simulation of the damage path. This requires many steps, but in the iterative solution process each new step starts with the solution of the prior step. Therefore this method is quite effective. The present paper provides an introduction of the proposed concept for a stable simulation of damage in heterogeneous solids.}, subject = {Architektur }, language = {en} } @inproceedings{HaefnerKoenke, author = {H{\"a}fner, Stefan and K{\"o}nke, Carsten}, title = {MULTIGRID PRECONDITIONED CONJUGATE GRADIENT METHOD IN THE MECHANICAL ANALYSIS OF HETEROGENEOUS SOLIDS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2962}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29626}, pages = {29}, abstract = {A fast solver method called the multigrid preconditioned conjugate gradient method is proposed for the mechanical analysis of heterogeneous materials on the mesoscale. Even small samples of a heterogeneous material such as concrete show a complex geometry of different phases. These materials can be modelled by projection onto a uniform, orthogonal grid of elements. As one major problem the possible resolution of the concrete specimen is generally restricted due to (a) computation times and even more critical (b) memory demand. Iterative solvers can be based on a local element-based formulation while orthogonal grids consist of geometrical identical elements. The element-based formulation is short and transparent, and therefore efficient in implementation. A variation of the material properties in elements or integration points is possible. The multigrid method is a fast iterative solver method, where ideally the computational effort only increases linear with problem size. This is an optimal property which is almost reached in the implementation presented here. In fact no other method is known which scales better than linear. Therefore the multigrid method gains in importance the larger the problem becomes. But for heterogeneous models with very large ratios of Young's moduli the multigrid method considerably slows down by a constant factor. Such large ratios occur in certain heterogeneous solids, as well as in the damage analysis of solids. As solution to this problem the multigrid preconditioned conjugate gradient method is proposed. A benchmark highlights the multigrid preconditioned conjugate gradient method as the method of choice for very large ratio's of Young's modulus. A proposed modified multigrid cycle shows good results, in the application as stand-alone solver or as preconditioner.}, subject = {Architektur }, language = {en} } @inproceedings{GurtovyTynchuk, author = {Gurtovy, O. G. and Tynchuk, S.O.}, title = {RESEARCH OF DEFORMATION OF MULTILAYERED PLATES ON UNDEFORMABLE BASIS BY UNFLEXURAL SPECIFIED MODEL}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2961}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29613}, pages = {6}, abstract = {Stress-strain state (SSS) of multilayered plates on undeformable foundation is investigated. The settlement circuit of transverse loaded plate is formed by symmetrical attaching of a plate concerning a surface of contact to the foundation. The plate of the double thickness becomes bilateral symmetrically loaded concerning its median surface. It allows to model only unflexural deformation that reduces amount of unknown and the general order of differentiation of resolving system of the equations. The developed refined continual model takes into account deformations of transverse shear and transverse compression in high iterative approximation. Rigid contact between the foundation and a plate, and also shear without friction on a surface of contact of a plate with the foundation is considered. Calculations confirm efficiency of such approach, allowing to receive decisions which is qualitative and quantitatively close to three-dimensional solutions.}, subject = {Architektur }, language = {en} } @inproceedings{GruberValdman, author = {Gruber, Peter and Valdman, J.}, title = {APPROXIMATE SOLUTION OF ELASTOPLASTIC PROBLEMS BASED ON THE MOREAU-YOSIDA THEOREM}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2960}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29602}, pages = {8}, abstract = {We propose a new approach to the numerical solution of quasi-static elastic-plastic problems based on the Moreau-Yosida theorem. After the time discretization, the problem is expressed as an energy minimization problem for unknown displacement and plastic strain fields. The dependency of the minimization functional on the displacement is smooth whereas the dependency on the plastic strain is non-smooth. Besides, there exists an explicit formula, how to calculate the plastic strain from a given displacement field. This allows us to reformulate the original problem as a minimization problem in the displacement only. Using the Moreau-Yosida theorem from the convex analysis, the minimization functional in the displacements turns out to be Frechet-differentiable, although the hidden dependency on the plastic strain is non-differentiable. The seconds derivative exists everywhere apart from the elastic-plastic interface dividing elastic and plastic zones of the continuum. This motivates to implement a Newton-like method, which converges super-linearly as can be observed in our numerical experiments.}, subject = {Architektur }, language = {en} } @inproceedings{Goettlicher, author = {G{\"o}ttlicher, Manfred}, title = {HYBRID SOLID-LIQUID MODEL FOR GRANULAR MATERIAL}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2959}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29596}, pages = {20}, abstract = {Solid behavior as well as liquid behavior characterizes the flow of granular material in silos. The presented model is based on an appropriate interaction of a displacement field and a velocity field. The constitutive equations and the applied algorithm are developed from the exact solution for a standard case. The standard case evolves from a very tall vertical plane strain silo containing material that flows at a constant speed. No horizontal displacements and velocities take place. No changes regarding the field values arise in the vertical direction and in time. Tension is not allowed at any point. Coulomb friction represents the effects of the vertical walls. The interaction between the flowing material and the walls is covered by a forced boundary condition resulting in an additional matrix for the solid component as well as for the liquid component. The resulting integral equations are designed to be solved directly. Three coefficients describe the properties of the granular material. They govern elastic solid behavior in combination with viscous liquid behavior.}, subject = {Architektur }, language = {de} } @inproceedings{GoebelHildebrandWerner, author = {G{\"o}bel, Michael and Hildebrand, J{\"o}rg and Werner, Frank}, title = {NUMERISCHES MODELL F{\"U}R DIE SIMULATION EINER LASERSTRAHLSCHWEIßUNG VON QUARZGLAS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2958}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29589}, pages = {14}, abstract = {Ausgehend von den fundierten Erfahrungen, die f{\"u}r das Schweißen von verschiedensten Metallen vorliegen, wird an der Professur Stahlbau der Bauhaus-Universit{\"a}t Weimar ein neuartiges Verfahren zum CO2-Laserstrahlschweißen von Quarzglas numerisch untersucht. Dabei kommt die kommerzielle FE-Software SYSWELD® zum Einsatz. Die erforderlichen Versuche werden in Zusammenarbeit mit dem Institut f{\"u}r F{\"u}getechnik und Werkstoffpr{\"u}fung GmbH aus Jena realisiert. Die numerische Analyse wird eingesetzt, um geeignete Prozessparameter zu bestimmen und deren Auswirkungen auf die transienten thermischen und mechanischen Vorg{\"a}nge, die w{\"a}hrend des Schweißvorgangs ablaufen abzubilden. Um die aus der Simulation erhaltenen Aussagen zu {\"u}berpr{\"u}fen, ist es erforderlich, das Berechnungsmodell mittels Daten aus Versuchsschweißungen zu kalibrieren. Dabei sind die verwendeten Materialmodelle sowie die der Simulation zugrunde gelegten Materialkennwerte zu validieren. Es stehen verschiedene rheologische Berechnungsmodelle zur Auswahl, die die viskosen Materialeigenschaften des Glases abbilden. Dabei werden die drei mechanischen Grundelemente, die HOOKEsche Feder, der NEWTONsche D{\"a}mpfungszylinder und das ST.-VENANT-Element miteinander kombiniert. Die M{\"o}glichkeit, thermische und mechanische Vorg{\"a}nge innerhalb des Glases w{\"a}hrend des Schweißvorgangs und nach vollst{\"a}ndiger Abk{\"u}hlung, vorhersagen zu k{\"o}nnen, gestattet es den Schweißvorgang {\"u}ber eine Optimierung der Verfahrensparameter gezielt dahingehend zu beeinflussen, die Wirtschaftlichkeit des Schweißverfahrens zu verbessern, und ein zuverl{\"a}ssiges Schweißergebnis zu erhalten. Dabei k{\"o}nnen auch nur unter hohem experimentellen Aufwand durchf{\"u}hrbare Versuche simuliert werden, um eine Vorhersage zu treffen, ob es zweckm{\"a}ßig ist, den Versuch auch in der Praxis zu fahren. Dies f{\"u}hrt zu einer Reduzierung des experimentellen Aufwandes und damit zu einer Verk{\"u}rzung des Entwicklungszeitraumes f{\"u}r das angestrebte Verfahren.}, subject = {Architektur }, language = {de} } @inproceedings{Geyer, author = {Geyer, Philipp}, title = {MODELS FOR MULTIDISCIPLINARY DESIGN OPTIMIZATION: AN EXEMPLARY OFFICE BUILDING}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2957}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29574}, pages = {10}, abstract = {The mathematical and technical foundations of optimization have been developed to a large extent. In the design of buildings, however, optimization is rarely applied because of insufficient adaptation of this method to the needs of building design. The use of design optimization requires the consideration of all relevant objectives in an interactive and multidisciplinary process. Disciplines such as structural, light, and thermal engineering, architecture, and economics impose various objectives on the design. A good solution calls for a compromise between these often contradictory objectives. This presentation outlines a method for the application of Multidisciplinary Design Optimization (MDO) as a tool for the designing of buildings. An optimization model is established considering the fact that in building design the non-numerical aspects are of major importance than in other engineering disciplines. A component-based decomposition enables the designer to manage the non-numerical aspects in an interactive design optimization process. A fa{\c{c}}ade example demonstrates a way how the different disciplines interact and how the components integrate the disciplines in one optimization model. In this grid-based fa{\c{c}}ade example, the materials switch between a discrete number of materials and construction types. For light and thermal engineering, architecture, and economics, analysis functions calculate the performance; utility functions serve as an important means for the evaluation since not every increase or decrease of a physical value improves the design. For experimental purposes, a genetic algorithm applied to the exemplary model demonstrates the use of optimization in this design case. A component-based representation first serves to manage non-numerical characteristics such as aesthetics. Furthermore, it complies with usual fabrication methods in building design and with object-oriented data handling in CAD. Therefore, components provide an important basis for an interactive MDO process in building design.}, subject = {Architektur }, language = {en} } @inproceedings{GalffyBaitschWellmannJelicetal., author = {Galffy, Mozes and Baitsch, Matthias and Wellmann Jelic, Andres and Hartmann, Dietrich}, title = {LIFETIME-ORIENTED OPTIMIZATION OF BRIDGE TIE RODS EXPOSED TO VORTEX-INDUCED ACROSS-WIND VIBRATIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2956}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29561}, pages = {12}, abstract = {In recent years, damages in welded connections plates of vertical tie rods of several arched steel bridges have been reported. These damages are due to fatigue caused by wind-induced vibrations. In the present study, such phenomena are examined, and the corresponding lifetime of a reference bridge in M{\"u}nster-Hiltrup, Germany, is estimated, based on the actual shape of the connection plate. Also, the results obtained are compared to the expected lifetime of a connection plate, whose geometry has been optimized separately. The structural optimization, focussing on the shape of the cut at the hanger ends, has been carried out using evolution strategies. The oscillation amplitudes have been computed by means of the Newmark-Wilson time-step method, using an appropriate load model, which has been validated by on-site experiments on the selected reference bridge. Corresponding stress-amplitudes are evaluated by multiplying the oscillation amplitudes with a stress concentration factor. This factor has been computed on the basis of a finite element model of the system "hanger-welding-connection plate", applying solid elements, according to the notch stress approach. The damage estimation takes into account the stochastics of the exciting wind process, as well as the stochastics of the material parameters (fatigue strength) given in terms of Woehler-curves. The shape optimization results in a substantial increase of the estimated hanger lifetime. The comparison of the lifetimes of the bulk plate and of the welding revealed that, in the optimized structure, the welding, being the most sensitive part in the original structure, shows much more resistance against potential damages than the bulk material.}, subject = {Architektur }, language = {en} } @inproceedings{Faustino, author = {Faustino, Nelson}, title = {FISCHER DECOMPOSITION FOR DIFFERENCE DIRAC OPERATORS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2955}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29551}, pages = {10}, abstract = {We establish the basis of a discrete function theory starting with a Fischer decomposition for difference Dirac operators. Discrete versions of homogeneous polynomials, Euler and Gamma operators are obtained. As a consequence we obtain a Fischer decomposition for the discrete Laplacian. For the sake of simplicity we consider in the first part only Dirac operators which contain only forward or backward finite differences. Of course, these Dirac operators do not factorize the classic discrete Laplacian. Therefore, we will consider a different definition of a difference Dirac operator in the quaternionic case which do factorizes the discrete Laplacian.}, subject = {Architektur }, language = {en} } @inproceedings{MalonekFalcaoSilva, author = {Malonek, Helmuth Robert and Falc{\~a}o, M. Irene and Silva, Ant{\´o}nio}, title = {MAPLE TOOLS FOR MODIFIED QUATERNIONIC ANALYSIS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2953}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29535}, pages = {7}, abstract = {At the 16th IKM Bock, Falc{\~a}o and G{\"u}rlebeck presented examples of the application of some specially developed Maple-Software in hypercomplex analysis. Other papers of those authors continued this work and showed the efficiency of such tools for concrete numerical calculations as well as for numerical experiments, supporting the detection of new relationships and even theorems in a highly technical theoretical work. The mentioned software has been developed mainly for the use on mapping problems in the Euclidean spaces of dimension 3 and 4 by means of Bergman kernel methods (BKM), which are related to monogenic functions as solutions of generalized Cauchy-Riemann equations with respect to the Euclidean metric (Riesz system). The developed procedures concerning generalized powers of totally regular variables and the corresponding homogeneous polynomials basically rely on results and conventions introduced in the paper "Power series representation for monogenic functions in Rm+1 based on a permutational product", Complex Variables, 15, No.3, 181-191 (1990) by H. Malonek. Since 1992 H. Leutwiler, S. L. Eriksson and others developed in a number of papers a modified Clifford analysis and, particularly, a modified quaternionic analysis. The modification mainly consists in considering generalized Cauchy-Riemann equations with respect to a hyperbolic metric in a half space. The aim of this contribution is to show how through a change of the basic combinatorial relations used in the modified quaternionic analysis the aforementioned Maple-software (that has been recently published on CD-Rom as integrated part of the text book "Funktionentheorie in der Ebene und im Raum" by K. G{\"u}rlebeck, K. Habetha, and W. Spr{\"o}ssig, in the series "Grundstudium Mathematik" of Birkh{\"a}user Verlag, 2006) can directly be used for numerical calculations in the modified theory.}, subject = {Architektur }, language = {en} } @inproceedings{EygelaarvanRooyen, author = {Eygelaar, Anton and van Rooyen, G.C.}, title = {ENGINEERING PROCESS MODEL SPECIFICATION AND RESOURCE LEVELING}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2952}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29529}, pages = {18}, abstract = {The use of process models in the analysis, optimization and simulation of processes has proven to be extremely beneficial in the instances where they could be applied appropriately. However, the Architecture/Engineering/Construction (AEC) industries present unique challenges that complicate the modeling of their processes. A simple Engineering process model, based on the specification of Tasks, Datasets, Persons and Tools, and certain relations between them, have been developed, and its advantages over conventional techniques have been illustrated. Graph theory is used as the mathematical foundation mapping Tasks, Datasets, Persons and Tools to vertices and the relations between them to edges forming a directed graph. The acceptance of process modeling in AEC industries not only depends on the results it can provide, but the ease at which these results can be attained. Specifying a complex AEC process model is a dynamic exercise that is characterized by many modifications over the process model's lifespan. This article looks at reducing specification complexity, reducing the probability for erroneous input and allowing consistent model modification. Furthermore, the problem of resource leveling is discussed. Engineering projects are often executed with limited resources and determining the impact of such restrictions on the sequence of Tasks is important. Resource Leveling concerns itself with these restrictions caused by limited resources. This article looks at using Task shifting strategies to find a near-optimal sequence of Tasks that guarantees consistent Dataset evolution while resolving resource restrictions.}, subject = {Architektur }, language = {en} } @inproceedings{ErlemannHartmann, author = {Erlemann, Kai and Hartmann, Dietrich}, title = {PARALLELIZATION OF A MICROSCOPIC TRAFFIC SIMULATION SYSTEM USING MPIJAVA}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2951}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29516}, pages = {8}, abstract = {Traffic simulation is a valuable tool for the design and evaluation of road networks. Over the years, the level of detail to which urban and freeway traffic can be simulated has increased steadily, shifting from a merely qualitative macroscopic perspective to a very detailed microscopic view, where the behavior of individual vehicles is emulated realistically. With the improvement of behavioral models, however, the computational complexity has also steadily increased, as more and more aspects of real-life traffic have to be considered by the simulation environment. Despite the constant increase in computing power of modern personal computers, microscopic simulation stays computationally expensive, limiting the maximum network size than can be simulated on a single-processor computer in reasonable time. Parallelization can distribute the computing load from a single computer system to a cluster of several computing nodes. To this end, the exisiting simulation framework had to be adapted to allow for a distributed approach. As the simulation is ultimately targeted to be executed in real-time, incorporating real traffic data, only a spatial partition of the simulation was considered, meaning the road network has to be partitioned into subnets of comparable complexity, to ensure a homogenous load balancing. The partition process must also ensure, that the division between subnets does only occur in regions, where no strong interaction between the separated road segments occurs (i.e. not in the direct vicinity of junctions). In this paper, we describe a new microscopic reasoning voting strategy, and discuss in how far the increasing computational costs of these more complex behaviors lend themselves to a parallelized approach. We show the parallel architecture employed, the communication between computing units using MPIJava, and the benefits and pitfalls of adapting a single computer application to be used on a multi-node computing cluster.}, subject = {Architektur }, language = {en} } @inproceedings{ErikssonKettunen, author = {Eriksson, Sirkka-Liisa and Kettunen, Jarkko}, title = {HYPERMONOGENIC POLYNOMIALS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2950}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29509}, pages = {22}, abstract = {It is well know that the power function is not monogenic. There are basically two ways to include the power function into the set of solutions: The hypermonogenic functions or holomorphic Cliffordian functions. L. Pernas has found out the dimension of the space of homogenous holomorphic Cliffordian polynomials of degree m, but his approach did not include a basis. It is known that the hypermonogenic functions are included in the space of holomorphic Cliffordian functions. As our main result we show that we can construct a basis for the right module of homogeneous holomorphic Cliffordian polynomials of degree m using hypermonogenic polynomials and their derivatives. To that end we first recall the function spaces of monogenic, hypermonogenic and holomorphic Cliffordian functions and give the results needed in the proof of our main theorem. We list some basic polynomials and their properties for the various function spaces. In particular, we consider recursive formulas, rules of differentiation and properties of linear independency for the polynomials.}, subject = {Architektur }, language = {en} } @inproceedings{EiermannErnstUllmann, author = {Eiermann, Michael and Ernst, O. and Ullmann, Elisabeth}, title = {SOLUTION STRATEGIES FOR STOCHASTIC FINITE ELEMENT DISCRETIZATIONS}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2949}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29493}, pages = {11}, abstract = {We consider efficient numerical methods for the solution of partial differential equations with stochastic coefficients or right hand side. The discretization is performed by the stochastic finite element method (SFEM). Separation of spatial and stochastic variables in the random input data is achieved via a Karhunen-Lo{\`e}ve expansion or Wiener's polynomial chaos expansion. We discuss solution strategies for the Galerkin system that take advantage of the special structure of the system matrix. For stochastic coefficients linear in a set of independent random variables we employ Krylov subspace recycling techniques after having decoupled the large SFEM stiffness matrix.}, subject = {Architektur }, language = {en} } @inproceedings{Eickelkamp, author = {Eickelkamp, Jens Peter}, title = {LIQUIDIT{\"A}TSPLANUNG VON BAUPROJEKTEN}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2948}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29483}, pages = {12}, abstract = {Die Liquidit{\"a}tsplanung von Bauunternehmen XE "Liquidit{\"a}tsplanung" gilt als ein wesentliches Steuerungs-, Kontroll- sowie Informationsinstrument f{\"u}r interne und externe Adressaten und {\"u}bt eine Entscheidungsunterst{\"u}tzungsfunktion aus. Da die einzelnen Bauprojekte einen wesentlichen Anteil an den Gesamtkosten des Unternehmens ausmachen, besitzen diese auch einen erheblichen Einfluß auf die Liquidit{\"a}t und die Zahlungsf{\"a}higkeit der Bauunternehmung. Dem folgend ist es in der Baupraxis eine {\"u}bliche Verfahrensweise, die Liquidit{\"a}tsplanung zuerst projektbezogen zu erstellen und anschließend auf Unternehmensebene zu verdichten. Ziel der Ausf{\"u}hrungen ist es, die Zusammenh{\"a}nge von Arbeitskalkulation XE "Arbeitskalkulation" , Ergebnisrechnung XE "Ergebnisrechnung" und Finanzrechnung XE "Finanzrechnung" in Form eines deterministischen XE "Erkl{\"a}rungsmodells" Planungsmodells auf Projektebene darzustellen. Hierbei soll das Verst{\"a}ndnis und die Bedeutung der Verkn{\"u}pfungen zwischen dem technisch-orientierten Bauablauf und dessen Darstellung im Rechnungs- und Finanzwesen herausgestellt werden. Die Vorg{\"a}nge aus der Bauabwicklung, das heißt die Abarbeitung der Bauleistungsverzeichnispositionen und deren zeitliche Darstellung in einem Bauzeitenplan sind periodisiert in Gr{\"o}ßen der Betriebsbuchhaltung (Leistung, Kosten) zu transformieren und anschließend in der Finanzrechnung (Einzahlungen., Auszahlungen) nach Kreditoren und Debitoren aufzuschl{\"u}sseln.}, subject = {Architektur }, language = {de} }