结构强度可靠性分析的模糊随机边界元法  

Reliability analysis of structural strength for fuzzy stochastic boundary element method

作　　者：张妃二[1] 禹智涛[1] 

机构地区：[1]广东工业大学工程力学研究所,广州510090

出　　处：《计算力学学报》2003年第1期90-94,118,共6页Chinese Journal of Computational Mechanics

基　　金：广东省自然科学基金资助项目(970026).

摘　　要：利用模糊随机变量和模糊概率特征建立模糊随机边界元代数方程,对方程作λ水平截集,得到随机区间方程,将该方程中的系数矩阵,结点位移列阵和荷载列阵在初始随机向量的均值处展开,利用区间数分解和小参数摄动理论导出求解应力统计特征、结构破坏概率指标和可靠度的计算公式,并给出算例。An algebra equation of fuzzy stochastic boundary element is established by using fuzzy random variational characteristics and fuzzy probability characteristics. By λ-level cutset, a stochastic interval equation is obtained. The coefficient matrix, the displacement vector and loading vector existing in the interval equation are expanded at the expectation value of the initial random vector. Then using the resolution of interval numbers and the perturbation theory for small parameters, the formulas are developed for calculating the statistical characteristics of stress, the structural destruction probability guide line and reliability. Some examples are given.

关 键 词：结构强度 可靠性 模糊随机边界元 均值 协方差 

分 类 号：O241.83[理学—计算数学] TU528.572[理学—数学]