摘要
本文利用Tavlor级数展开,将结构的材料随机性化为一个等效随机外载荷来处理,从而利用相应同一结构确定性问题的基本解,分别建立关于响应的均值和偏差的边界积分方程;结合一阶二次矩法,应用随机边界无法分析了材料弹性常数的随机性和薄板厚度不均匀性对薄板结构可靠性的影响,对计算结果分析看出:①对于同一种单元划分和同一相关长度,可靠性指数保持了对具体相关模式的不敏感性;②对于同一种单元划分和同一相关模式,可靠性指数随相关长度的增大而减小。
Based on the first-order Taylor series expansion, the randomness of material parameters could be treated as an equivalent random load, and the boundary integral equations concerning the mean and deviation of the response were formulated by using the fundamental solutions of the corresponding determined problem. Combined with the first-order secondary-moment method, the stochastic boundary element method could be applied to the reliability analysis of thin plates with random material parameters and random thickness. One numerical example was calculated and the following conclusions were obtained: (1) the structural reliability index is not sensitive to the practical correlation type for the same correlation length; (2) the structural reliability index decreases with the increasing scale of fluctuation for each practical correlation type.
出处
《力学季刊》
CSCD
北大核心
2002年第2期272-274,共3页
Chinese Quarterly of Mechanics
