Title of Paper:A hybrid approach for the time domain analysis of linear stochastic structures

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Date of Publication:2013-10-01

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:265

Page Number:71-82

ISSN No.:0045-7825

Key Words:Stochastic finite element method; Uncertain structures; Time domain analysis; Modal approach; Perturbation; Secular terms

Abstract:A new hybrid approach for the time domain analysis of linear stochastic structures with uncorrelated or correlated random variables is proposed. This new hybrid approach combines the modal approach, the second-order perturbation technique and the number theoretical method (NTM). In the hybrid approach, an approximate stochastic model of the finite element (FE) model is developed in the sense of first-order accuracy, which provides second-order estimations of the mean and covariance matrices of structural responses. Compared with the FE model, the proposed model is more convenient in terms of the computation effort it requires. By employing the NTM to evaluate the statistical moments of solutions of the approximate model, the secular terms, contained in the results of the perturbation stochastic finite element method, are eliminated. Two numerical examples are presented to demonstrate the accuracy and efficiency of the method proposed. (C) 2013 Elsevier B.V. All rights reserved.