静力分析的一般随机摄动法

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Generalized Probabilistic Perturbation Method for Static Analysis

1.
Department of Mechanics, Jilin University of Technology, Changchun 130025, P. R China;
2.
Changchun Automobile Research Institute, Changchun 130011, P. R.China

摘要: 本文对向量值和矩阵值函数的不确定结构的静力响应和可靠性进行了研究。基于Kronecker代数和摄动理论导出了随机结构的有限元分析方法,随机变量和系统导数很方便地排列到2D矩阵中,给出了一般的数学表达式。
- 随机结构 /
- 响应 /
- 可靠性 /
- 一般随机摄动法
Abstract: This paper studies the static response and reliability of uncertain structures with vector-valued and matrix-valued functions.The finite element analysis method of uncertain structures is based on matrix calculus,Kronecker algebra and pertrubation theory,Random variables and system derivatives are conveniently arranged into 2D matrices and generalized mathematical formulae for perturbatc perturbatcion are obtained.
- uncertain structures /
- response /
- reliability /
- generalized probabilistic perturbation method

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