摘要
本文基于随机边界元法建立了随机结构可靠性分析的一般步骤。对于含有随机几何或材料参数的弹性体在随机外载及随机边界条件下可以用随机边界元法求出边界位移或面力的均值和协方差，并进一步可求出内部点位移和应力的均值和协方差。随机边界元法和一阶二次矩方法结合则可分析随机结构的可靠性。本文给出了矩阵形式的随机边界无法分析结构可靠性指标的具体步骤，通过两个数例的计算，验证了给出的步骤的有效性，得到了一些有益的结果，进行了相应的分析讨论。
Based on the stochastic boundary element method(SBEM),the general steps are developed forrelisbility analysis of structures. The mean and deviations of boundary displacements and tractionsof elastie body with random material and/or geometrical parameters and randomly perturbedboundaries and random loads can be obtained with the SBEM. Furthermore,the mean and covarianceof displacements and stresses at inner points can be obtained. The combination of the SBEM and theFirst-order Second-Moment Method is uSed to analyze the reliability of stochastic structures,practical steps to estimate structural reliability index in the form of matrix are given in this paper ,the efficiency of the procedure is illustrated by two numerical examples.
关键词
随机边界元法
协方差
随机结构
可靠性
stochastic boundary element method
covariance
stochastic structures
reliability index
