TY - CHAP
A1 - Roos, Dirk
A1 - Bucher, Christian
A1 - Bayer, Veit
T1 - Polyhedral response surfaces for structural reliability assessment
N2 - Polyhedral response surfaces for structural reliability assessment
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization
JF - International Journal for Numerical and Analytical Methods in Geomechanics
N2 - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2007
SP - 285
EP - 305
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Unger, Jörg F.
A1 - Bucher, Christian
T1 - Stochastic crack growth simulation in R/C structures by means of meshless methods
N2 - Stochastic crack growth simulation in R/C structures by means of meshless methods
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
ER -
TY - CHAP
A1 - Brehm, Maik
A1 - Bucher, Christian
T1 - Wavelet packet system identification
N2 - Wavelet packet system identification
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - JOUR
A1 - Bucher, Christian
A1 - Schorling, York
T1 - SLang - the Structural Language : Solving Nonlinear and Stochastic Problems in Structural Mechanics
N2 - Recent developments in structural mechanics indicate an increasing need of numerical methods to deal with stochasticity. This process started with the modeling of loading uncertainties. More recently, also system uncertainty, such as physical or geometrical imperfections are modeled in probabilistic terms. Clearly, this task requires close connenction of structural modeling with probabilistic modeling. Nonlinear effects are essential for a realistic description of the structural behavior. Since modern structural analysis relies quite heavily on the Finite Element Method, it seems to be quite reasonable to base stochastic structural analysis on this method. Commercially available software packages can cover deterministic structural analysis in a very wide range. However, the applicability of these packages to stochastic problems is rather limited. On the other hand, there is a number of highly specialized programs for probabilistic or reliability problems which can be used only in connection with rather simplistic structural models. In principle, there is the possibility to combine both kinds of software in order to achieve the goal. The major difficulty which then arises in practical computation is to define the most suitable way of transferring data between the programs. In order to circumvent these problems, the software package SLang (Structural Language) has been developed. SLang is a command interpreter which acts on a set of relatively complex commands. Each command takes input from and gives output to simple data structures (data objects), such as vectors and matrices. All commands communicate via these data objects which are stored in memory or on disk. The paper will show applications to structural engineering problems, in particular failure analysis of frames and shell structures with random loads and random imperfections. Both geometrical and physical nonlinearities are taken into account.
KW - Baustatik
KW - Nichtlineares Phänomen
KW - Zufallsvariable
KW - Programm
Y1 - 1997
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-4957
ER -
TY - JOUR
A1 - Brehm, Maik
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study
JF - Mechanical Systems and Signal Processing
N2 - Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2011
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
JF - Structural Engineering and Mechanics
N2 - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
SP - 315
EP - 332
ER -
TY - JOUR
A1 - Bucher, Christian
A1 - Pham, Hoang Anh
T1 - On model updating of existing structures utilizing measured dynamic responses
JF - Structure and Infrastructure Engineering
N2 - On model updating of existing structures utilizing measured dynamic responses
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
SP - 135
EP - 143
ER -
TY - CHAP
A1 - Ebert, Matthias
A1 - Bucher, Christian
T1 - Stochastic finite element modeling of damage evolutions of R/C beams
N2 - Stochastic finite element modeling of damage evolutions of R/C beams
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2001
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Stochastic dynamic stability analysis for nonlinear structures
N2 - Stochastic dynamic stability analysis for nonlinear structures
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Bucher, Christian
A1 - Riedel, J.
T1 - The dynamic behaviour of a historical bell tower - in- situ tests and numerical investigations
N2 - The dynamic behaviour of a historical bell tower - in- situ tests and numerical investigations
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - CHAP
A1 - Bucher, Christian
A1 - Pham, Hoang Anh
T1 - Bayesian reliability updating using system identification based on selective sensitivity
N2 - Bayesian reliability updating using system identification based on selective sensitivity
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2004
ER -
TY - CHAP
A1 - Schorling, York
A1 - Bucher, Christian
A1 - Purkert, G.
T1 - Stability analysis for randomly imperfect structures
N2 - Stability analysis for randomly imperfect structures
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - JOUR
A1 - Brehm, Maik
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies
JF - Journal of Sound and Vibration
N2 - In the context of finite element model updating using output-only vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the correct pairing of experimentally obtained and numerically derived natural frequencies and mode shapes is important. In many cases, only limited spatial information is available and noise is present in the measurements. Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task. The most common criterion for indicating corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases and is not reliable for automatic approaches. In this paper, the purely mathematical modal assurance criterion will be enhanced by additional physical information from the numerical model in terms of modal strain energies. A numerical example and a benchmark study with experimental data are presented to show the advantages of the proposed energy-based criterion in comparison to the traditional modal assurance criterion.
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2010
U6 - http://dx.doi.org/10.1016/j.jsv.2010.07.006
SP - 5375
EP - 5392
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Unger, Jörg F.
A1 - Bucher, Christian
T1 - Stochastic modeling of cohesive crack propagation using meshless discretization techniques
N2 - Stochastic modeling of cohesive crack propagation using meshless discretization techniques
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2004
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Stochastic modeling of cohesive crack evolution in concrete using meshless interpolation techniques
N2 - Stochastic modeling of cohesive crack evolution in concrete using meshless interpolation techniques
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2004
ER -
TY - CHAP
A1 - Bucher, Christian
A1 - Zabel, Volkmar
T1 - Experiences with detection of damage in bridge structures using dynamics tests
N2 - Experiences with detection of damage in bridge structures using dynamics tests
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Stochastic simulation of cracking in concrete structures using multi-parameter random fields
JF - International Journal of Reliability and Safety
N2 - Stochastic simulation of cracking in concrete structures using multi-parameter random fields
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
SP - 168
EP - 187
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Probabilistic analysis of concrete cracking using neural networks and random fields
JF - Probabilistic Engineering Mechanics
N2 - Probabilistic analysis of concrete cracking using neural networks and random fields
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2007
SP - 219
EP - 229
ER -
TY - JOUR
A1 - Kirichuk, A.
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Numerical nonlinear analysis of kinematically excited shells
JF - International Journal for Computational Civil and Structural Engineering
N2 - Numerical nonlinear analysis of kinematically excited shells
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
SP - 61
EP - 74
ER -
TY - CHAP
A1 - Schorling, York
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Stability Analysis for Imperfect Systems with Random Loading
N2 - Stability Analysis for Imperfect Systems with Random
Loading
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2001
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
A1 - Macke, M.
ED - Gürlebeck, Klaus
ED - Könke, Carsten
T1 - A NATURAL NEIGHBOR BASED MOVING LEAST SQUARES APPROACH WITH INTERPOLATING WEIGHTING FUNCTION
N2 - The Element-free Galerkin Method has become a very popular tool for the simulation of mechanical problems with moving boundaries. The internally applied Moving Least Squares approximation uses in general Gaussian or cubic weighting functions and has compact support. Due to the approximative character of this method the obtained shape functions do not fulfill the interpolation condition, which causes additional numerical effort for the imposition of the essential boundary conditions. The application of a singular weighting function, which leads to singular coefficient matrices at the nodes, can solve this problem, but requires a very careful placement of the integration points. Special procedures for the handling of such singular matrices were proposed in literature, which require additional numerical effort. In this paper a non-singular weighting function is presented, which leads to an exact fulfillment of the interpolation condition. This weighting function leads to regular values of the weights and the coefficient matrices in the whole interpolation domain even at the nodes. Furthermore this function gives much more stable results for varying size of the influence radius and for strongly distorted nodal arrangements than classical weighting function types. Nevertheless, for practical applications the results are similar as these obtained with the regularized weighting type presented by the authors in previous publications. Finally a new concept will be presented, which enables an efficient analysis of systems with strongly varying node density. In this concept the nodal influence domains are adapted depending on the nodal configuration by interpolating the influence radius for each direction from the distances to the natural neighbor nodes. This approach requires a Voronoi diagram of the domain, which is available in this study since Delaunay triangles are used as integration background cells. In the numerical examples it will be shown, that this method leads to a more uniform and reduced number of influencing nodes for systems with varying node density than the classical circular influence domains, which means that the small additional numerical effort for interpolating the influence radius leads to remarkable reduction of the total numerical cost in a linear analysis while obtaining similar results. For nonlinear calculations this advantage would be even more significant.
KW - Architektur
KW - CAD
KW - Computerunterstütztes Verfahren
Y1 - 2006
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170327-29943
UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
A1 - Schorling, York
T1 - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading
JF - Journal of Sound and Vibration
N2 - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2004
SP - 381
EP - 400
ER -
TY - CHAP
A1 - Roos, Dirk
A1 - Bucher, Christian
T1 - Adaptive Response Surfaces for Structural Reliability of Nonlinear Finite Element Structures
N2 - Adaptive Response Surfaces for Structural Reliability of Nonlinear Finite Element Structures
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
ER -
TY - CHAP
A1 - Pham, Hoang Anh
A1 - Bucher, Christian
T1 - An iterative procedure for model updating based on selective sensitivity
N2 - An iterative procedure for model updating based on selective sensitivity
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - JOUR
A1 - Bucher, Christian
A1 - Most, Thomas
T1 - A comparison of approximate response functions in structural reliability analysis
JF - Probabilistic Engineering Mechanics
N2 - A comparison of approximate response functions in structural reliability analysis
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2008
SP - 154
EP - 163
ER -
TY - CHAP
A1 - Bucher, Christian
T1 - Structural Reliability and Stochastic Finite Elements
N2 - Structural Reliability and Stochastic Finite Elements
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Mixed mode crack simulation using Virtual Crack Extension and a normal/shear cohesive crack model within a meshless discretization
N2 - Mixed mode crack simulation using Virtual Crack Extension and a normal/shear cohesive crack model within a meshless discretization
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Adaptive response surface approach using artificial neural networks and Moving Least Squares
N2 - Adaptive response surface approach using artificial neural networks and Moving Least Squares
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - JOUR
A1 - Bucher, Christian
A1 - Ebert, Matthias
T1 - Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen
JF - Stahlbau
N2 - Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
SP - 516
EP - 522
ER -
TY - JOUR
A1 - Bucher, Christian
A1 - Frangopol, D.M.
T1 - Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds
JF - Probabilistic Engineering Mechanics
N2 - Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
SP - 1
EP - 8
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Moving Least Squares-elements for stochastic crack propagation simulations coupled with stochastic finite elements
N2 - Moving Least Squares-elements for stochastic crack propagation simulations coupled with stochastic finite elements
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
ER -
TY - CHAP
A1 - Ebert, Matthias
A1 - Bucher, Christian
T1 - Damage Effects on the Dynamic Properties of R/C Beams- Experimental and Numerical Investigations
N2 - Damage Effects on the Dynamic Properties of R/C Beams- Experimental and Numerical Investigations
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - Experiment und Analyse - erweiterte Konzepte für Nachweis und Bemessung - Schwingungsmessungen
N2 - Experiment und Analyse - erweiterte Konzepte für Nachweis und Bemessung - Schwingungsmessungen
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - Experiences with dynamic investigations of historical bell towers and belfriens
N2 - Experiences with dynamic investigations of historical bell towers and belfriens
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - Parametric system identification by means of the wavelet transformation
N2 - Parametric system identification by means of the wavelet transformation
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - The utilization of a visualisation tool in system identification
N2 - The utilization of a visualisation tool in system identification
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - CHAP
A1 - Ebert, Matthias
A1 - Bucher, Christian
T1 - Modelling of changing of dynamic and static parameters of damaged R/C
N2 - Dynamic testing for damage assessment as non-destructive method has attracted growing in-terest for systematic inspections and maintenance of civil engineering structures. In this con-text the paper presents the Stochastic Finite Element (SFE) Modeling of the static and dy-namic results of own four point bending experiments with R/C beams. The beams are dam-aged by an increasing load. Between the load levels the dynamic properties are determined. Calculated stiffness loss factors for the displacements and the natural frequencies show differ-ent histories. A FE Model for the beams is developed with a discrete crack formulation. Cor-related random fields are used for structural parameters stiffness and tension strength. The idea is to simulate different crack evolutions. The beams have the same design parameters, but because of the stochastic material properties their undamaged state isn't yet the same. As the structure is loaded a stochastic first crack occurs on the weakest place of the structure. The further crack evolution is also stochastic. These is a great advantage compared with de-terministic formulations. To reduce the computational effort of the Monte Carlo simulation of this nonlinear problem the Latin-Hypercube sampling technique is applied. From the results functions of mean value and standard deviation of displacements and frequencies are calcu-lated. Compared with the experimental results some qualitative phenomena are good de-scribed by the model. Differences occurs especially in the dynamic behavior of the higher load levels. Aim of the investigations is to assess the possibilities of dynamic testing under consideration of effects from stochastic material properties
KW - Stahlbetonbauteil
KW - Bruchmechanik
KW - Dynamische Belastung
KW - Statische Last
KW - Finite-Elemente-Methode
KW - Stochastisches Modell
Y1 - 2000
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-5825
ER -
TY - CHAP
A1 - Zabel, Volkmar
A1 - Brehm, Maik
A1 - Bucher, Christian
T1 - Climatic influences on the dynamics of railway bridges with steel girders embedded in concrete
N2 - Climatic influences on the dynamics of railway bridges with steel girders embedded in concrete
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2007
ER -
TY - CHAP
A1 - Bucher, Christian
A1 - Ebert, Matthias
T1 - Load Carrying Behavior of Prestressed Bolted Steel Flanges Considering Random Geometrical Imperfections
N2 - Load Carrying Behavior of Prestressed Bolted Steel Flanges Considering Random Geometrical Imperfections
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - CHAP
A1 - Ebert, Matthias
A1 - Bucher, Christian
T1 - SFE- Modelling of dynamic and static properties of R/C Beams in progressive damage
N2 - SFE- Modelling of dynamic and static properties of R/C Beams in progressive damage
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2000
ER -
TY - CHAP
A1 - Brehm, Maik
A1 - Zabel, Volkmar
A1 - Bucher, Christian
T1 - Optimal reference sensor placement within roving setup configurations
N2 - Optimal reference sensor placement within roving setup configurations
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2011
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Application of the "fictious crack model" to meshless crack growth simulations
N2 - In this paper a meshless component is presented, which internally uses the common meshless interpolation technique >Moving Least Squares<. In contrast to usual meshless integration schemes like the cell quadrature and the nodal integration in this study integration zones with triangular geometry spanned by three nodes are used for 2D analysis. The boundary of the structure is defined by boundary nodes, which are similar to finite element nodes. By using the neighborhood relations of the integration zones an efficient search algorithm to detected the nodes in the influence of the integration points was developed. The components are directly coupled with finite elements by using a penalty method. An widely accepted model to describe the fracture behavior of concrete is the >Fictitious Crack Model< which is applied in this study, which differentiates between micro cracks and macro cracks, with and without force transmission over the crack surface, respectively. In this study the crack surface is discretized by node pairs in form of a polygon, which is part of the boundary. To apply the >Fictitious Crack Model< finite interface elements are included between the crack surface nodes. The determination of the maximum principal strain at the crack tip is done by introducing an influence area around the singularity. On a practical example it is shown that the included elements improve the model by the transmission of the surface forces during monotonic loading and by the representation of the contact forces of closed cracks during reverse loading.
KW - Bruchmechanik
KW - Rissbildung
KW - Modellierung
Y1 - 2003
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-3359
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
ED - Gürlebeck, Klaus
ED - Könke, Carsten
T1 - ADAPTIVE RESPONSE SURFACE APPROACH USING ARTIFICIAL NEURAL NETWORKS AND MOVING LEAST SQUARES
N2 - In engineering science the modeling and numerical analysis of complex systems and relations plays an important role. In order to realize such an investigation, for example a stochastic analysis, in a reasonable computational time, approximation procedure have been developed. A very famous approach is the response surface method, where the relation between input and output quantities is represented for example by global polynomials or local interpolation schemes as Moving Least Squares (MLS). In recent years artificial neural networks (ANN) have been applied as well for such purposes. Recently an adaptive response surface approach for reliability analyses was proposed, which is very efficient concerning the number of expensive limit state function evaluations. Due to the applied simplex interpolation the procedure is limited to small dimensions. In this paper this approach is extended for larger dimensions using combined ANN and MLS response surfaces for evaluating the adaptation criterion with only one set of joined limit state points. As adaptation criterion a combination by using the maximum difference in the conditional probabilities of failure and the maximum difference in the approximated radii is applied. Compared to response surfaces on directional samples or to plain directional sampling the failure probability can be estimated with a much smaller number of limit state points.
KW - Architektur
KW - CAD
KW - Computerunterstütztes Verfahren
Y1 - 2006
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170327-29922
UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
ER -
TY - CHAP
A1 - Brehm, Maik
A1 - Zabel, Volkmar
A1 - Bucher, Christian
A1 - Ribeiro, D.
ED - Gürlebeck, Klaus
ED - Könke, Carsten
T1 - AN AUTOMATIC MODE SELECTION STRATEGY FOR MODEL UPDATING USING THE MODAL ASSURANCE CRITERION AND MODAL STRAIN ENERGIES
N2 - In the context of finite element model updating using vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the order of natural frequencies and mode shapes is important. As only limited spatial information is available and noise is present in the measurements, the automatic selection of the most likely numerical mode shape corresponding to a measured mode shape is a difficult task. The most common criterion to indicate corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases. In this paper, the pure mathematical modal assurance criterion will be enhanced by additional physical information of the numerical model in terms of modal strain energies. A numerical example and a benchmark study with real measured data are presented to show the advantages of the enhanced energy based criterion in comparison to the traditional modal assurance criterion.
KW - Angewandte Informatik
KW - Angewandte Mathematik
KW - Architektur
KW - Computerunterstütztes Verfahren
KW - Computer Science Models in Engineering; Multiscale and Multiphysical Models; Scientific Computing
Y1 - 2010
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-28330
UR - http://euklid.bauing.uni-weimar.de/ikm2009/paper.html
SN - 1611-4086
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Application of an adaptive response surface approach for efficient structural reliability analysis
N2 - Application of an adaptive response surface approach for efficient structural reliability analysis
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - CHAP
A1 - Bucher, Christian
A1 - Most, Thomas
T1 - Application of approximate response functions in structural reliability analysis
N2 - Application of approximate response functions in structural reliability analysis
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Stochastic dynamic stability analysis of shell structures
N2 - Stochastic dynamic stability analysis of shell structures
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2005
ER -
TY - CHAP
A1 - Bombasaro, Emanuel
A1 - Bucher, Christian
ED - Gürlebeck, Klaus
ED - Könke, Carsten
T1 - INVESTIGATION OF MODELING ERRORS OF DIFFERENT RANDOM FIELD BASED WIND LOAD FORMULATIONS
N2 - In this paper the influence of changes in the mean wind velocity, the wind profile power-law coefficient, the drag coefficient of the terrain and the structural stiffness are investigated on different complex structural models. This paper gives a short introduction to wind profile models and to the approach by Davenport A. G. to compute the structural reaction of wind induced vibrations. Firstly with help of a simple example (a skyscraper) this approach is shown. Using this simple example gives the reader the possibility to study the variance differences when changing one of the above mentioned parameters on this very easy example and see the influence of different complex structural models on the result. Furthermore an approach for estimation of the needed discretization level is given. With the help of this knowledge the structural model design methodology can be base on deeper understanding of the different behavior of the single models.
KW - Angewandte Informatik
KW - Angewandte Mathematik
KW - Architektur
KW - Computerunterstütztes Verfahren
KW - Computer Science Models in Engineering; Multiscale and Multiphysical Models; Scientific Computing
Y1 - 2010
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-28318
UR - http://euklid.bauing.uni-weimar.de/ikm2009/paper.html
SN - 1611-4086
ER -
TY - JOUR
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares
JF - Engineering Analysis with Boundary Elements
N2 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2008
SP - 461
EP - 470
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - An enhanced moving least squares interpolation for the element-free Galerkin method
N2 - An enhanced moving least squares interpolation for the element-free Galerkin method
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Application of the "Fictitious Crack Model" to meshless crack growth simulations
N2 - Application of the "Fictitious Crack Model" to meshless crack growth simulations
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2003
ER -
TY - CHAP
A1 - Unger, Jörg F.
A1 - Most, Thomas
A1 - Bucher, Christian
A1 - Könke, Carsten
T1 - Adaptation of the natural element method for crack growth simulations
N2 - Adaptation of the natural element method for crack growth simulations
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2004
ER -
TY - CHAP
A1 - Most, Thomas
A1 - Bucher, Christian
T1 - Adaptive response surface approach for reliability analysis using advanced meta-models
N2 - Adaptive response surface approach for reliability analysis using advanced meta-models
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2007
ER -
TY - CHAP
A1 - Bucher, Christian
T1 - Numerical Solution of the First-Passage Problem by FORM and Importance Sampling
N2 - Numerical Solution of the First-Passage Problem by FORM and Importance Sampling
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2002
ER -