English

应用科学学报 ›› 2006, Vol. 24 ›› Issue (3): 302-306.

• 论文 • 上一篇    下一篇

模糊可靠性分析改进的一次二阶矩法

董玉革1, 王纯贤1, 赵显德2, 权钟完2   

  1. 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
  • 收稿日期:2004-11-29 修回日期:2005-01-18 出版日期:2006-05-31 发布日期:2006-05-31
  • 作者简介:董玉革,博士,教授,研究方向:机械可靠性,E-mail:dyglzdjy@mail.hf.ah.cn;赵显德,博士,教授,研究方向:机械CAD/CAM/CAPP,E-mail:hdcho@kiu.ac.kr;权钟完,博士,教授,研究方向:应用力学、机械强度,E-mail:Jwkwon@kiu.ac.kr
  • 基金资助:
    国家自然科学基金资助项目(50375042)

Fuzzy Reliability Analysis Based on AFOSM Method

DONG Yu-ge1, WANG Chun-xian1, CHO Hyun-deog2, KWON Jong-wan2   

  1. 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
  • Received:2004-11-29 Revised:2005-01-18 Online:2006-05-31 Published:2006-05-31

PDF

70

被引次数

33

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: 改进的一次二阶矩法, 传统可靠性, 随机变量, 模糊可靠性, 模糊变量

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.

Key words: random variable, fuzzy reliability, advanced first order second moment (AFOSM), convectional reliability, fuzzy variable

中图分类号: