基于产品性能退化轨迹的可靠性研究  

Reliability Research Based on Product Performance Degradation Path

作　　者：刘合财[1] 

机构地区：[1]贵阳学院数学与信息科学学院,贵州贵阳550005

出　　处：《安徽师范大学学报（自然科学版）》2016年第4期320-323,330,共5页Journal of Anhui Normal University(Natural Science)

基　　金：贵州省科学技术基金资助项目(黔科合J字[2012]2022号);贵州省教育厅优秀科技创新人才奖励计划资助项目(黔教合KY字[2015]499号)

摘　　要：为了解决高可靠和长寿命产品的可靠性评估问题,采用性能退化试验方法,基于产品性能退化量的退化轨迹,得出了线性、指数型性能退化轨迹绝对失效标准和相对失效标准下的首达时间分布定理,并分别得到了随机参数服从正态、Weibull和指数分布下的几个推论.研究结果表明:根据产品性能退化随机过程和退化轨迹、失效标准计算首达时间来评估其可靠性是一条有效的途径.该成果对产品的可靠度等指标的评估具有一定的参考价值和实际意义.This paper mainly studies the reliability evaluation problem on the products with high reliability andlong life. Based on the degradation path of products performance, by means of performance degradation test, thefirst passage time distribution theorems on the absolute failure standard and the relative one are obtained underthe linear and exponential performance degradation path, respectively. Furthermore, several corollaries arederived under the cases of Normal, Weibull and exponential distribution of random parameters. In summary,these results show that it is a feasible and effective way to evaluate its reliability by computing first passage time.The research provides a certain reference value and practical significance for evaluating the reliability of products.

关 键 词：退化轨迹 首达时间 失效标准 可靠性 

分 类 号：O213.2[理学—概率论与数理统计]