| 静力分析的一般随机摄动法 |
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| 引用本文： | 张义民,刘铁强.静力分析的一般随机摄动法[J].应用数学和力学,1995,16(8):709-714. |
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| 作者姓名： | 张义民 刘铁强 |
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| 作者单位： | 吉林工业大学，长春汽车研究所 |
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| 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．
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| 关 键 词： | 随机结构，响应，可靠性，一般随机摄动法 |
Generalized Probabilistic Perturbation Method for Static Analysis |
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| Zhang Yimin Chen Suhuan Zhou Zhenping.Generalized Probabilistic Perturbation Method for Static Analysis[J].Applied Mathematics and Mechanics,1995,16(8):709-714. |
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| Authors: | Zhang Yimin Chen Suhuan Zhou Zhenping |
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| 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 algebraand perturbation theory.Random variables and system derivatives are conven- iently arranged into 2D matrices and generalized mathematical formulae forprobabilistlc perturbation are obtained. |
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| Keywords: | uncertain structures response reliability generalized probabilistc perturbation method |
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