Optimal Design of Multiple Stress Constant Accelerated Life Test Plan on Non-rectangle Test Region  

作　　者：CHEN Wenhua GAO Liang LIU Juan QIAN Ping PAN Jun 

机构地区：[1]Department of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China [2]Zhejiang Province's Key Laboratory for Reliability Technology of Mechanical & Electrical Products, Zhejiang Sci-Tech University, Hangzhou 310018, China

出　　处：《Chinese Journal of Mechanical Engineering》2012年第6期1231-1237,共7页中国机械工程学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos. 50935002, 51075370, 51105341);National Hi-tech Research and Development Program of China(863 Program, Grant No. 2007AA04Z409);the Technology Foundation of National Defense Program;Zhejiang Provincial Natural Science Foundation of China (Grant Nos. Y1100777, Y1080762)

摘　　要：For optimal design of constant stress accelerated life test（CSALT） with two-stress, if the stresses could not reach the highest levels simultaneously, the test region becomes non-rectangular. For optimal CSALT design on non-rectangle test region, the present method is only focused on non-rectangle test region with simple boundary, and the optimization algorithm is based on experience which can not ensure to obtain the optimal plan. In this paper, considering the linear-extreme value model and the optimization goal to minimize the variance of lifetime estimate under normal stress, the optimal design method of two-stress type-I censored CSALT plan on general non-rectangular test region is proposed. First, two properties of optimal test plans are proved and the relationship of all the optimal test plans is determined analytically. Then, on the basis of the two properties, the optimal problem is simplified and the optimal design method of two-stress CSALT plan on general non-rectangular test region is proposed. Finally, a numerical example is used to illustrate the feasibility and effectiveness of the method, The result shows that the proposed method could obtain the optimal test plan on non-rectangular test regions with arbitrary boundaries. This research provides the theory and method for two-stress optimal CSALT planning on non-rectangular test regions.For optimal design of constant stress accelerated life test（CSALT） with two-stress, if the stresses could not reach the highest levels simultaneously, the test region becomes non-rectangular. For optimal CSALT design on non-rectangle test region, the present method is only focused on non-rectangle test region with simple boundary, and the optimization algorithm is based on experience which can not ensure to obtain the optimal plan. In this paper, considering the linear-extreme value model and the optimization goal to minimize the variance of lifetime estimate under normal stress, the optimal design method of two-stress type-I censored CSALT plan on general non-rectangular test region is proposed. First, two properties of optimal test plans are proved and the relationship of all the optimal test plans is determined analytically. Then, on the basis of the two properties, the optimal problem is simplified and the optimal design method of two-stress CSALT plan on general non-rectangular test region is proposed. Finally, a numerical example is used to illustrate the feasibility and effectiveness of the method, The result shows that the proposed method could obtain the optimal test plan on non-rectangular test regions with arbitrary boundaries. This research provides the theory and method for two-stress optimal CSALT planning on non-rectangular test regions.

关 键 词：accelerated life test non- rectangular test region test plan optimal design 

分 类 号：O213.2[理学—概率论与数理统计] TS254.3[理学—数学]