截断分布下广义失效概率的可靠性分析方法

摘要

提出基于随机变量为截断分布和失效域模糊下的结构可靠性分析方法.由于常规的可靠性分析方法不能直接用于截断分布情况下广义失效概率的计算,因此,先将截断分布情况下的可靠性分析模型转化为非截断分布情况下的多模式并联系统模型,在此基础上引入模糊失效域的隶属函数,将截断分布情况下的模糊可靠性分析问题转化为一般的随机可靠性问题,利用Monte Carlo法和重要抽样法求得广义失效概率.给出了方法的实现步骤和原理,井用不同算例验证了方法的合理性与可行性.%In this paper,a general failure probability with truncated distribution random variables and fuzzy failure is researched. Owing to the general reliability method can not be directly used to compute the general failure probability with truncated distribution,the reliability analysis model with truncated distribution is equivalently transformed, then membership function of fuzzy failure domain is introduced into the basis of the transformed model, thus fuzzy reliability analysis with truncated distribution is transformed to general random reliability problem, and finally, the important sampling method is used to obtain the general failure probability. Implementation steps and principles of the proposed method are given in this paper,and examples for different membership functions illustrates that this method is rational and feasible.