基于信息熵的结构广义可靠度与模糊安全系数

Interpretation of Structure Fuzzy Reliability and Fuzzy Safety Factor Based on Information Entropy

基于信息熵研究了模糊可靠性意义下的可靠度和模糊安全系数及它们之间的关系,在模糊应力-模糊强度和随机应力-模糊强度两种干涉模型中,分别探讨了隶属函数为正态型和非正态型情况下模糊安全系数的确定问题,揭示了模糊安全系数与模糊可靠度之间的关系,并以实例给予说明。

Relying on the fundamental concept of equivalent transformations, namely the entropy based transformation and the scaling of fuzzy membership function, fuzzy safety factor was proposed. Two interferential models of fuzzy--fuzzy and random--fuzzy structure reliability were described, and their respective fuzzy safety factors were determined in the case of normal and non--normal membership functions. The functions of fuzzy safety factor and fuzzy reliability were also deduced. The result shows that fuzzy reliability is directly related to central fuzzy safety factor and the equivalent variant factors of stress and strength. And an example was given for clearer illustration.