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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
【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。
【Abstract】 An algebra equation of fuzzy stochastic boundary element is established by using fuzzy random variational and fuzzy probability characteristics.By λlevel cutset,a stochastic interval equation is obtained. Expanding the coefficient matrix, the displacement vector and loading vector existing in the interval equation at the expectation value of the initial random vector. Then using the resolution of interval numbers and perturba tion theory for small parameters, the for mulas is developed for calculating the statistical characteristicsof stress and structural destruction probability guide line and reliability. Some examples are given.
【Key words】 structural strength; reliability; fuzzy stochastic boundary element; mean; covariance;
- 【文献出处】 计算力学学报 ,Chinese Journal of Computational Mechanics , 编辑部邮箱 ,2003年01期
- 【分类号】TU311.2
- 【被引频次】8
- 【下载频次】185