基于广义密度函数的随机模糊结构广义可靠性分析

General Reliability Analysis of Random-Fuzzy Structures Basedon General Density Function

对同时具有随机性和模糊性等不确定性参数的结构 ,提出了一种计算结构广义可靠性的方法。将模糊参数的隶属度函数转化为广义密度函数 ;基于广义密度函数给出结构广义可靠性的计算公式 ,该公式可处理随机模型、模糊模型以及随机模糊混合模型 ;对工程中常见的广义正态 正态模型 ,给出了其广义可靠度简洁的计算表达式。

A new method for calculating structural general re liability is put forward, which is especially used for the case that the structu ral parameters are random variables and fuzzy variables. When the structural par ameters are fuzzy variables, their membership functions are turned into general density functions, based on which the general reliability is defined, and then t he structural general reliability can be computed. This method can be utilized f or random models, fuzzy models, and random-fuzzy models. Furthermore, for the g eneral normal-normal models, the general reliability can be easily obtained by calculating the general reliability index. Finally, two examples demonstrate the method of this paper.