Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models

Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models

This paper presents a methodological approach for the numerical investigation of frequency transfer functions for large FE systems with linear and nonlinear stochastic parameters. The component mode synthesis methods are used to reduce the size of the model and are extended to stochastic structural...

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Bibliographic Details
Published in:Computers & structures Vol. 89; no. 3; pp. 346 - 356
Main Authors: Sarsri, D., Azrar, L., Jebbouri, A., El Hami, A.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01-02-2011
Elsevier
Subjects:
Chaos theory
Component mode synthesis
Computer simulation
Exact sciences and technology
Finite element method
First two moments
Frequency transfer function
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Nonlinearity
Physics
Polynomial chaos
Random
Solid mechanics
Stochasticity
Structural and continuum mechanics
Transfer functions
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Polynomial chaos
Component mode synthesis
Random
Frequency transfer function
First two moments
Chaos
Probabilistic approach
Statistical moment
Modeling
Orthogonal polynomial
Plate
Finite element method
Mode component synthesis
Non linear effect
Transfer function
Random vibration
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Summary:This paper presents a methodological approach for the numerical investigation of frequency transfer functions for large FE systems with linear and nonlinear stochastic parameters. The component mode synthesis methods are used to reduce the size of the model and are extended to stochastic structural vibrations. The statistical first two moments of frequency transfer functions are obtained by an adaptive polynomial chaos expansion. Free and fixed interface methods with and without reduction of interface dof are used. The coupling with the first and second order polynomial chaos expansion is elaborated for beams and assembled plates with linear and nonlinear stochastic parameters.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2010.11.009