具有随机效应维纳过程的步进应力加速退化试验优化设计  

Optimal design of step-stress accelerated degradation test based on Wiener process with random effects

作　　者：刘小平[1,2] 崔德军 吴振宇 张立杰[1,2] LIU Xiao-ping;CUI De-jun;WU Zhen-yu;ZHANG Li-jie(Key Laboratory ofAdvanced Forging&Stamping Technology and Science ofMOE,YanshanUniversity,Qinhuangdao 066004,China;Hebei Provincial Key Laboratory of Heavy Machinery Fluid Power Transmission and Control,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学先进锻压成形技术与科学教育部重点实验室,河北秦皇岛066004 [2]燕山大学河北省重型机械流体动力传输与控制重点实验室,河北秦皇岛066004

出　　处：《控制与决策》2019年第12期2558-2566,共9页Control and Decision

基　　金：河北省研究生创新项目(CXZZBS2017040,CXZZSS2018035)

摘　　要：针对个体差异普遍存在于产品性能退化过程中,而当前基于退化模型的优化设计普遍没有考虑产品个体差异的问题,提出一种具有随机效应维纳过程的步进应力加速退化试验优化设计方法.基于累积失效原理,建立考虑个体差异的多应力步进加速退化模型.在给定测量间隔的前提下,以总试验时间和加速应力为限制条件,通过最小化正常使用应力条件下寿命分布的p分位寿命渐近方差,对试验应力水平设置、各应力水平下的测量次数进行优化.通过LED灯双应力步进加速退化试验优化设计案例,验证所提出方法的有效性.对最优试验方案进行参数敏感性分析,所得结果表明,当参数在小范围变动时最优试验方案具有非常好的鲁棒性.Individual differences are prevalent in the process of product performance degradation. However, in the current optimal design based on the degradation model, the individual differences are almost not considered. Therefore,an optimal design method of the step-stress accelerated degradation test with random effect Wiener process is proposed.Based on the cumulative failure model, a multi-step-stress accelerated degradation model with individual variations is established. Under the given measurement interval, and subject to the constrain of the total testing time and the accelerated stress, the setting of the test stress level and the measurement times at different stress levels are optimized by minimizing the asymptotic variance of the estimated p-quantile of product lifetime distribution under the normal stress condition. The proposed method has been verified by a double-step-stress accelerated degradation test of LED lamps. The parameter sensitivity of the optimized test is investigated and the optimal test plan is found to have good robustness when the parameters changed in a small range.

关 键 词：维纳过程 步进应力加速退化试验 随机效应 优化设计 渐近方差 

分 类 号：TB114.37[理学—概率论与数理统计]