期刊
COMPUTERS & STRUCTURES
卷 88, 期 19-20, 页码 1137-1148出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2010.06.013
关键词
Stochastic dynamical systems; Uncertainty quantification; Neumann expansion; Stochastic finite element
资金
- Royal Society
- Leverhulme Trust
- National Natural Science Foundation of China [10872108, 10876100]
- Program for New Century Excellent Talents in University [NCET-07-0477]
- National Basic Research Program of China [2010CB832701]
In stochastic finite element problems the solution of a system of coupled linear random algebraic equations is needed. This problem in turn requires the calculation of the inverse of a random matrix. Over the past four decades several approximate analytical methods and simulation methods have been proposed for the solution of this problem in the context of probabilistic structural mechanics. In this paper we present a new solution method for stochastic linear equations. The proposed method is based on Neumann expansion and the recently developed joint diagonalisation solution strategy. Unlike the classical Neumann expansion, here only the inversion of a diagonal matrix is needed. Numerical examples are given to illustrate the use of the expressions derived in the paper. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
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