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

Authors:
D. Sarsri;L. Azrar;A. Jebbouri;A. El Hami
Affiliations:
LTI, ENSA, University Abdelmalek Essaadi, Tangier, Morocco;MMC, FST, University Abdelmalek Essaadi, Tangier, Morocco;FST, University Abdelmalek Essaadi, Tangier, Morocco;Lab. de Mécanique - UMR 6138, Pôle Technologique du Madrillet, Avenue de l'Université - BP 8, 76801 Saint Etienne du Rouvray Cedex, France
Venue:
Computers and Structures
Year:
2011

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Abstract

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.