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Random uncertainties model in dynamic substructuring using a nonparametric probabilistic model
- 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.
- Subjects :
- Dynamic substructuring
Mathematical optimization
model uncertainties
uncertainty quantification
random uncertainties
02 engineering and technology
01 natural sciences
0203 mechanical engineering
[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]
Applied mathematics
dynamic substructuring
0101 mathematics
Uncertainty quantification
Mathematics
Parametric statistics
[PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph]
Stochastic process
Mechanical Engineering
Nonparametric statistics
random matrix
Statistical model
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
structural dynamics
modeling errors
Semiparametric model
010101 applied mathematics
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
020303 mechanical engineering & transports
Mechanics of Materials
random vibrations
nonparametric probabilistic method
Random matrix
Subjects
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)⟩