东北大学学报（自然科学版）

东北大学学报（自然科学版） ›› 2013, Vol. 34 ›› Issue (11): 1610-1613.DOI: 10.12068/j.issn.1005-3026.2013.11.022

• 机械工程 • 上一篇    下一篇

基于Gamma退化过程的机械零部件可靠性灵敏度方法

吕昊，张义民，王倩倩   

  1. (东北大学机械工程与自动化学院，辽宁沈阳110819)
  • 发布日期:2013-07-09
  • 通讯作者: 吕昊
  • 作者简介:吕昊(1982-)，男，辽宁铁岭人，东北大学博士研究生;张义民(1958-)，男，吉林长春人，东北大学教授，博士生导师，教育部“长江学者奖励计划”特聘教授.
  • 基金资助:
    国家自然科学基金资助项目(51135003，U1234208)；长江学者和创新团队发展计划项目(IRT0816)；中央高校基本科研业务费专项资金资助项目(N110603001).

Reliability Sensitivity Analysis Method of Mechanical Parts Based on Gamma Process Strength Degradation

LYU Hao， ZHANG Yimin， WANG Qianqian   

  1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Published:2013-07-09
  • Contact: ZHANG Yimin
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摘要： 采用随机变量描述初始强度的不确定性，利用Gamma过程描述强度退化过程.在此基础上，运用摄动法、四阶矩法和Edgeworth级数方法，解决了随机参数服从任意分布的可靠度计算问题.基于矩阵微分方法，推导出关于随机变量均值和方差的可靠性灵敏度的计算公式.以螺栓为例对所提方法进行验证，结果表明该方法可有效地解决机械零部件强度退化时的可靠性灵敏度问题.

关键词: 可靠性灵敏度, Gamma随机过程, 强度退化, 四阶矩法, Edgeworth级数

Abstract: The uncertainty of the initial strength was described by a random variable， and the evolution process of the strength degradation was regarded as the Gamma process. Then the perturbation method， the fourth moment and Edgeworth series method were used to solve the problem of reliability calculation with random parameters of arbitrary distributions. Matrix differentialbased formulas for calculating the reliability sensitivity with respect to the mean and the variance of the random variables was derived based on the matrix differential method. The reliability analysis of the bolts was taken as an example to verify the proposed method. The results showed that the method can effectively solve the problem of the reliability sensitivity of mechanical parts with strength degradation.

Key words: reliability sensitivity, Gamma random process, strength degradation, the fourth moment method, Edgeworth series

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