传统可靠性理论在模糊可靠性计算中的应用  

Application of Conventional Reliability Theory in Fuzzy Reliability Calculation

作　　者：董玉革[1] 王爱囡[2] 吴成龙[3] 

机构地区：[1]合肥工业大学机械与汽车工程学院 [2]合肥工业大学理学院 [3]安徽江淮汽车股份有限公司

出　　处：《农业机械学报》2007年第2期142-145,共4页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(项目编号:50375042);教育部留学回国人员科研启动基金资助项目

摘　　要：针对现有的模糊可靠性不能用较成熟的传统可靠性理论进行计算的问题,通过把采用常用隶属函数的模糊强度变换为当量随机强度,获得其当量概率密度函数和当量概率分布函数,提出了用传统可靠性理论改进的一次二阶矩法和等效正态分布法,计算随机应力模糊强度时的模糊可靠性,从而获得了衡量模糊可靠性的可靠性指数。该方法具有理论意义和实用价值,算例验证了方法的合理性和有效性。It is impossible to calculate fuzzy reliability by using much more mature conventional reliability theory so far. Therefore, after fuzzy strength that took commonly used membership functions was transformed to an equivalent random strength and its equivalent probability density function and probability distribution function were obtained. A method to compute fuzzy reliability in the case of random stress and fuzzy strength via advanced first order second moment method and equivalent normal distribution method of convectional reliability theory has been put forwards so that the reliability index to measure fuzzy reliability could be obtained. The method is of theoretical significance and practical value. An example was given to show its reasonableness and feasibility.

关 键 词：传统可靠性 模糊变量 一次二阶矩法 等效正态分布法 可靠性指数 

分 类 号：TB114.3[理学—概率论与数理统计]