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模糊可靠性分析改进的一次二阶矩法
引用本文:董玉革,王纯贤,赵显德,权钟完.模糊可靠性分析改进的一次二阶矩法[J].应用科学学报,2006,24(3):302-306.
作者姓名:董玉革  王纯贤  赵显德  权钟完
作者单位:1. 合肥工业大学,机械与汽车工程学院,安徽,合肥,230009
2. 韩国庆一大学校,工程学院,韩国庆尚北道,庆山市,712701
摘    要:给出了模糊变量变换为当量随机变量时,其当量概率密度函数、当量均值和当量标准差的一般表达式,得到了采用几种常用隶属函数模糊变量的当量均值和当量标准差的具体计算式.根据极限状态方程。用传统可靠性理论中改进的一次二阶矩法计算复杂情况下的模糊可靠性,获得了衡量模糊可靠性的可靠性指数.算例验证了方法的有效性和实用性.

关 键 词:传统可靠性  随机变量  模糊可靠性  模糊变量  改进的一次二阶矩法
文章编号:0255-8297(2006)03-0302-05
收稿时间:2004-11-29
修稿时间:2004-11-292005-01-18

Fuzzy Reliability Analysis Based on AFOSM Method
DONG Yu-ge,WANG Chun-xian,CHO Hyun-deog,KWON Jong-wan.Fuzzy Reliability Analysis Based on AFOSM Method[J].Journal of Applied Sciences,2006,24(3):302-306.
Authors:DONG Yu-ge  WANG Chun-xian  CHO Hyun-deog  KWON Jong-wan
Institution:1. School of Mechanical and Automotive Engineering, Hefei University of Technology, Hefei 230009, China ; 2. School of Mechanical Engineering, Kyungil University, Kyungsan 712701, R. Korea
Abstract:The general formulae of equivalent probability density function, equivalent mean value and equivalent standard deviation are given by means of the transformation from fuzzy variables to equivalent random variables. Specific formulae of equivalent mean value and equivalent standard deviation are obtained when the membership functions of the fuzzy variables are commonly used ones. Based on the formula of limit state, fuzzy reliability in complex cases is computed by the advanced first order second moment method in the convectional reliability theory, and the reliability index to measure fuzzy reliability is obtained. An example is given to show the effectiveness and applicability of the proposed method.
Keywords:convectional reliability  random variable  fuzzy reliability  fuzzy variable  advanced first order second moment(AFOSM)
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