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.
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.
出处
《应用数学和力学》
CSCD
北大核心
1995年第8期709-714,共6页
Applied Mathematics and Mechanics
关键词
随机结构
可靠性
随机摄动法
静力分析
有限元
uncertain structures,response,reliability,generalized probabilistc perturbation method