基于随机载荷和强度退化的可靠性灵敏度分析

doi:10.12068/j.issn.1005-3026.2019.05.014

东北大学学报:自然科学版 ›› 2019, Vol. 40 ›› Issue (5): 678-683.DOI: 10.12068/j.issn.1005-3026.2019.05.014

基于随机载荷和强度退化的可靠性灵敏度分析

杨周¹，郭丙帅¹，张义民^1,2，顾洛玮¹

(1. 东北大学机械工程与自动化学院，辽宁沈阳110819; 2. 沈阳化工大学装备可靠性研究所，辽宁沈阳110142)

收稿日期:2018-04-12 修回日期:2018-04-12 出版日期:2019-05-15 发布日期:2019-05-17
通讯作者: 杨周
作者简介:杨周(1979-)，女，辽宁鞍山人，东北大学副教授；张义民(1958-)，男，吉林长春人，东北大学“长江学者奖励计划”特聘教授，博士生导师.
基金资助:
国家自然科学基金联合基金资助项目(U1710119)；辽宁联合基金资助项目( U1708254).

Reliability Sensitivity Analysis Based on Random Load and Strength Degradation

YANG Zhou¹， GUO Bing-shuai¹， ZHANG Yi-min^1,2， GU Luo-wei¹

1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China; 2. Equipment Reliability Institute， Shenyang University of Chemical Technology， Shenyang 110142， China.

Received:2018-04-12 Revised:2018-04-12 Online:2019-05-15 Published:2019-05-17
Contact: YANG Zhou
About author:-
Supported by:
-

摘要/Abstract

摘要： 针对随机载荷和强度退化所引起的动态可靠性问题，将载荷和强度同时考虑成随机过程，利用顺序统计理论得出最大等效载荷，利用Gamma过程来描述机械零件的强度退化过程，并对零件进行动态可靠性建模.在此基础上，运用随机摄动理论和四阶矩技术给出了动态可靠性灵敏度的求解公式，解决了参数服从任意分布的灵敏度求解问题.以零件螺栓为例建立了可靠性动态模型，给出了各参数变量的灵敏度随时间变化的动态曲线，并用Monte Carlo方法进行了验证，结果表明所建立的模型能准确反映出机械零件的可靠性随使用时间的变化规律.

关键词: 机械零件, 随机载荷, Gamma过程, 四阶矩, 灵敏度分析

Abstract: In order to solve the dynamic reliability problem caused by random load and strength degradation， the load and strength are considered as stochastic processes simultaneously. The maximum equivalent load is obtained by using the theory of sequence statistics， the strength degradation process of mechanical parts is described by Gamma process， and the dynamic reliability model is established. Consequently using the stochastic perturbation theory and the four-order moment technique， the solution formula for the dynamic reliability sensitivity is derived， solving the sensitivity problem of the parameters from arbitrary distribution. For variation， a dynamic reliability model for screw bolts was established. The dynamic curves of the sensitivity of each parameter variable vs. time were calculated with the said model， and were also verified by Monte Carlo method. The results show that the established model indicates the rule of reliability change of mechanical parts vs. time accurately.

Key words: mechanical parts, random load, Gamma process, fourth-order moment, sensitivity analysis

中图分类号:

TH122

杨周，郭丙帅，张义民，顾洛玮. 基于随机载荷和强度退化的可靠性灵敏度分析[J]. 东北大学学报:自然科学版, 2019, 40(5): 678-683.

YANG Zhou， GUO Bing-shuai， ZHANG Yi-min， GU Luo-wei. Reliability Sensitivity Analysis Based on Random Load and Strength Degradation[J]. Journal of Northeastern University Natural Science, 2019, 40(5): 678-683.

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基于随机载荷和强度退化的可靠性灵敏度分析

Reliability Sensitivity Analysis Based on Random Load and Strength Degradation

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