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论文类型：期刊论文

发表时间：2013-10-01

发表刊物：COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

收录刊物：SCIE、EI、Scopus

卷号：265

页面范围：71-82

ISSN号：0045-7825

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

摘要：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.