基于Monte-Carlo方法的结构系统可靠度计算及敏度分析

基于可靠性分析理论,将结构失效概率对随机变量均值的敏度表示成失效概率与正则化随机变量在失效域上期望的乘积,并利用敏度分析的结果给出了结构线性等效安全余量的表达式.通过等概率转换,使得该方法可以应用于服从任意分布的随机变量.该方法在给出失效概率的同时,能够给出失效概率对随机变量均值的敏度,而无需重新对结构进行计算,提高了...

Reliability calculation and reliability sensitivity analysis of structural system based on Monte-Carlo method

Based on the reliability analysis theory, the sensitivity of structural failure probability to random variable mean is expressed as the product of failure probability and expectation of regularization random variable in the failure domain. The expression of structural linear equivalent safe margin is given by using the result of sensitivity analysis. The method can be applied to the random variable with arbitrary distribution by equivalent probability transform. When the failure probability is calculated by the method proposed in the paper, the sensitivity of structural failure probability to random variable mean is also given without the need to recalculation, which improves the efficiency of sensitivity analysis. The method is not controlled by the nonlinear level of safe margin, and the method is suitable for the single element, series system, parallel system, and series parallel system. The calculation procedure is complied by using MATLAB codes. Numerical examples show that the method is efficient and accurate.