模糊结构的能度可靠性灵敏度分析方法

Improving Further Sensitivity Analysis of Possibilistic Reliability of Fuzzy Structure

基于可能性理论和模糊区间分析理论,文章提出了模糊结构的能度可靠性灵敏度分析方法。针对极限状态函数为线性且模糊变量可能性分布均为正态型或线性型的结构,推导了能度可靠性灵敏度的解析解。在特殊情况能度可靠性灵敏度解析解法的基础上,结合函数线性化理论和线性型可能性分布函数近似等价正态化方法,提出了求解一般情况下模糊结构能度可靠性灵敏度的近似解析方法。基于求解模糊失效可能度的数值解法,运用差分理论,提出2种求解模糊能度可靠性灵敏度的数值解法。文中算例对所建立的方法进行了对比分析,结果表明所提方法是计算模糊结构能度可靠性灵敏度的可行方法。

Aim.We at NWPU have continued for several years applying and improving further the method of possibilistic reliability sensitivity analysis proposed by us in Refs.3 through 6.Section 2 of the full paper derives two analytical PRS(possibilistic raliability sensitivity) expressions(as given in eqs.(13) and(14) in the full paper) for fuzzy structure for the special case of linear limit-state function with fuzzy variables possessing only Gaussian or only linear possibility distribution function.Section 3,guided...