Stochastic Finite Element Method for Nonlinear Dynamic Problem with Random Parameters

Abstract:

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Several algorithms were proposed relating to the development of a framework of the perturbation-based stochastic finite element method (PSFEM) for nonlinear dynamic problem with random parameters, for this purpose, based on the stochastic virtual work principle , some algorithms and a framework related to SFEM have been studied. An interpolation method was used to discretize the random fields, which is based on representing the random field in terms of an interpolation rule involving a set of deterministic shape functions. Direct integration Wilson- Method in conjunction with Newton-Raphson scheme was adopted to solve finite element equations. Numerical examples were compared with Monte-Carlo simulation method to show that the approaches proposed herein are accurate and effective for the nonlinear dynamic analysis of structures with random parameters

Info:

Periodical:

Advanced Materials Research (Volumes 189-193)

Edited by:

Zhengyi Jiang, Shanqing Li, Jianmin Zeng, Xiaoping Liao and Daoguo Yang

Pages:

1348-1357

DOI:

10.4028/www.scientific.net/AMR.189-193.1348

Citation:

Q. Wang and Y. Cao, "Stochastic Finite Element Method for Nonlinear Dynamic Problem with Random Parameters", Advanced Materials Research, Vols. 189-193, pp. 1348-1357, 2011

Online since:

February 2011

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$35.00

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