摘要
在结构可靠性分析中应用模糊集合理论,给出一般情况下结构失效的模糊定义,并导出计算可靠性指标的模糊优化问题,利用截集的概念转换成普通非线性参数规划问题,得到可靠性指标系列的模糊解.文中还根据模糊判决原理给出特征模糊可靠性指标的定义及计算方法,并给出了计算例题.
According to the theory of fuzzy sets,a general fuzzy definition of structural failure is introduced in this paper.A fuzzy optimization for solving the reliability index is formulated.A family of fuzzy solution for the reliability index is obtained by converting the original fuzzy optimization to a classical non linear parametric programming by using the concept of λ level cut.The characteristic fuzzy reliability index is defined by using the principle of fuzzy decision making and an iterative procedure for solving the characteristic fuzzy reliability index is derived.Nnmerical examples are given in the paper.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1996年第10期115-121,共7页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金 国家教委博士学科点专项科研基金
关键词
结构
可靠性
模糊优化
模糊判决
可靠性分析
structure
reliability
reliability index
fuzzy optimization
fuzzy decision making