含非闭合隶属函数模糊变量的结构失效概率分布研究  

GENERAL RELIABILITY ANALYSIS FOR FUZZY RANDOM STRUCTURE WITH NON-CLOSED MEMBERSHIP FUNCTION

作　　者：吕震宙[1] 冯蕴雯[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《工程力学》2006年第3期99-103,62,共6页Engineering Mechanics

基　　金：航空基础科学基金(00B53010;03B53008);航天创新基金(N3CH0502;N5CH0001);陕西省自然科学基金(N3CS0501)

摘　　要：结合工程实际,提出了非闭合隶属函数的截断可能性分布模型,并对模糊强度和模糊应力进行截断处理,给出了结构模糊随机失效概率随截断参数的分布,并给出了结构模糊随机失效概率分布的数值计算方法。所提出的方法不仅可以考虑基本变量的随机模糊性,而且可以考虑安全和失效状态的随机模糊性。关于强度和应力两个基本变量的情况易于推广应用到多个变量的情况,以解决多变量体系中含有非闭合隶属函数模糊变量的安全分析问题。A truncation model is presented for the fuzzy variable with the non-closed membership function. And the fuzzy strength variable and fuzzy stress variable are truncated in engineering application. The general failure probability distribution is established based on the truncated membership function, and the numerical algorithm for general fuzzy-random failure probability is given. Both the fuzziness and the randomness of the basic variable and the state variable are considered in the present method. The combination of the high strength fuzzy set and the high stress fuzzy set is illustrated and the rationality of the present model is verified. The present combination approach can be extended to the structure with multiple fuzzy variables, laying down the theoretical base for engineering application.

关 键 词：可靠性 随机 模糊 非闭合隶属函数 广义失效概率 

分 类 号：TB114.2[理学—运筹学与控制论]