随机应力模糊强度时模糊可靠性的计算理论  

FUZZY RELIABILITY ANALYSIS IN THE CASE OF RANDOM STRESS AND FUZZY STRENGTH

作　　者：黄洪钟[1] 孙占全[1] 郭东明[1] 李丽[1] 周峰[1] 田志刚[1] 

机构地区：[1]大连理工大学机械工程学院,大连116023

出　　处：《机械强度》2001年第3期305-307,共3页Journal of Mechanical Strength

基　　金：国家自然科学基金 (594750 4 3);中国博士后科学基金;油气藏地质及开发工程国家重点实验室开放基金资助项目~~

摘　　要：由于常规可靠性理论基本假设的局限性 ,对于具有模糊性的各种系统和问题 ,用常规可靠性理论和方法对其进行描述是非常困难的 ,甚至是不可能的。在一些问题上由于不恰当地使用常规可靠性理论 ,而使计算结果和实际完全不一致的情况时有发生。要解决这些问题 ,必须借助新的工具 ,建立新的可靠性概念和方法 ,以摆脱目前的困境 ,为此 ,模糊数学不可避免地进入可靠性领域 ,而可靠性理论研究不可避免地发展到一个新阶段———模糊可靠性理论的创立。本文研究了以模糊强度表示模糊安全状态时模糊可靠度的计算问题 ,模糊安全事件的隶属函数由模糊强度的隶属函数直接构造 ,克服了现有文献中模糊安全事件的隶属函数为不连续函数这一缺陷。Due to the limitation of basic hypothesis of conventional reliability theory, it is difficult or impossible to describe all kinds of systems with fuzziness by conventional reliability theory. The case that counted results do not accord with the practice often occurs because of incorrectly using conventional reliability theory. To resolve above questions, we must resort to new means and construct new reliability concept and method. Thus fuzzy sets theory is introduced into reliability, and reliability theory inevitably develops into a new stage, ie. fuzzy reliability theory. Fuzzy reliability is analysed in the case of fuzzy safety state denoted by fuzzy strength in this paper. The membership function of the fuzzy safety event is directly constructed by fury strength, and which overcomes discontinuity of membership function of fuzzy safety event in current literatures.

关 键 词：模糊强度 随机应力 模糊可靠性 模糊安全事件 隶属函数 机械设计 

分 类 号：TB114[理学—概率论与数理统计]