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 - 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 - Brehm, Maik
A1 - Bucher, Christian
T1 - Wavelet packet system identification
N2 - Wavelet packet system identification
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2006
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 - 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 - 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 - 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 - 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 - 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 - 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 -