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Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model

Authors :
Hamid Chebli
Christian Soize
Laboratoire de Mécanique (LaM)
Université Paris-Est Marne-la-Vallée (UPEM)
ONERA - The French Aerospace Lab [Châtillon]
ONERA-Université Paris Saclay (COmUE)
Source :
Journal of Engineering Mechanics-ASCE, Journal of Engineering Mechanics-ASCE, American Society of Civil Engineers, 2003, 129 (4), pp.449-457. ⟨10.1061/(ASCE)0733-9399(2003)129:4(449)⟩
Publication Year :
2003
Publisher :
HAL CCSD, 2003.

Abstract

International audience; This paper presents a new approach, called a nonparametric approach, for constructing a model of random uncertainties in dynamic substructuring in order to predict the matrix-valued frequency response functions of complex structures. Such an approach allows nonhomogeneous uncertainties to be modeled with the nonparametric approach. The Craig-Bampton dynamic substructuring method is used. For each substructure, a nonparametric model of random uncertainties is introduced. This nonparametric model does not require identifying uncertain parameters in the reduced matrix model of each substructure as is usually done for the parametric approach. This nonparametric model of random uncertainties is based on the use of a probability model for symmetric positive-definite real random matrices using the entropy optimization principle. The theory and a numerical example are presented in the context of the finite-element method. The numerical results obtained show the efficiency of the model proposed.

Details

Language :
English
ISSN :
07339399 and 19437889
Database :
OpenAIRE
Journal :
Journal of Engineering Mechanics-ASCE, Journal of Engineering Mechanics-ASCE, American Society of Civil Engineers, 2003, 129 (4), pp.449-457. ⟨10.1061/(ASCE)0733-9399(2003)129:4(449)⟩
Accession number :
edsair.doi.dedup.....a5ad8bbc8adf445bf9c9bf5117960ce2
Full Text :
https://doi.org/10.1061/(ASCE)0733-9399(2003)129:4(449)⟩