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机械结构广义强度的模糊可靠性计算理论
引用本文:黄洪钟.机械结构广义强度的模糊可靠性计算理论[J].机械工程学报,2001,37(6):106-108.
作者姓名:黄洪钟
作者单位:大连理工大学机械工程学院
基金项目:国家自然科学基金! (5 9485 0 43),跨世纪杰出青年学科带头人基金,中国博士后科学基金,机械传动国家重点实验室开放课题基金
摘    要:在计算结构广义强度的模糊可靠性时 ,模糊安全状态 (正常工作状态 )有 3种不同的定义形式 ,即分别以状态变量、模糊允许区间和广义模糊强度表示。对第三种形式进行研究。为此 ,引入了模糊数最大集、最小集概念 ,给出了模糊数右效用值、左效用值和总效用值的定义 ,提出了模糊数的排序规则 ,建立了以广义模糊强度表示模糊安全状态下广义随机应力广义模糊强度时的模糊可靠性计算理论 ,并以算例说明之。

关 键 词:广义模糊强度  模糊可靠性  最大集  最小集  总效用值
修稿时间:2000年10月20

MECHANICAL STRUCTURE BASED ON DEFINING FUZZY SAFETY STATE BY GENERALIZED FUZZY STRENGTH
Huang Hongzhong.MECHANICAL STRUCTURE BASED ON DEFINING FUZZY SAFETY STATE BY GENERALIZED FUZZY STRENGTH[J].Chinese Journal of Mechanical Engineering,2001,37(6):106-108.
Authors:Huang Hongzhong
Affiliation:Dalian University of Technology
Abstract:In fuzzy reliability analysis of generalized structural strength, fuzzy safety state can be defined by state variation, fuzzy allowable interval, generalized fuzzy strength. This paper studied the third case. Thus, The concepts of maximizing set and minimizing set are developed to decide the ordering value of each fuzzy number, and these values can be used to determine the order of the fuzzy numbers. On the basis of the works mentioned above, the membership function defining the fuzzy safety event can be calculated, and then the fuzzy reliability in the case of random stress and fuzzy strength is deduced. An example is given to illustrate the method.
Keywords:Generalized fuzzy strength  Fuzzy reliability  Maximizing set  Minimizing set  Total utility value
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