BS疲劳寿命分布一般序加试验的统计分析  

Statistical analysis of BS fatigue life distribution under general progressive stress accelerated test

作　　者：王蓉华[1] 顾蓓青 徐晓岭 WANG Ronghua;GU Beiqing;XU Xiaoling(Mathematics and Science College, Shanghai Normal University, 200234 Shanghai, China;School of Statistics and Information, Shanghai University of International Business and Economics, 201620 Shanghai, China)

机构地区：[1]上海师范大学数理学院,上海200234 [2]上海对外经贸大学统计与信息学院,上海201620

出　　处：《强度与环境》2018年第3期39-47,共9页Structure & Environment Engineering

基　　金：国家自然科学基金资助项目-Birnbaum-Saunders疲劳寿命分布的统计分析(11671264)

摘　　要：论文研究了Birnbaum-Saunders(以下简称BS)疲劳寿命分布产品在一般序进应力V(t)=Kt+V_1,V_1>0,加速寿命试验下的可靠性统计分析。在刻度参数满足逆幂律模型下,利用Nelson假定的时间折算思想,推导出了BS疲劳寿命分布产品在一般序进应力加速寿命试验下的失效分布,并在此基础上利用极大似然估计的方法得到了参数的点估计,同时也简要说明利用诸如回归方法、逆矩估计等方法得不到参数的点估计。论文最后通过Monte-Carlo模拟算例说明方法的可行性。The reliability statistical analysis is studied for the products of Birnbaum-Saunders fatigue life distribution under general progressive stress V（t）=Kt＋V1, V1〉0, accelerated life test in this paper. When the scale parameter satisfies inverse power law model, the failure distribution is derived for the products of BS fatigue life distribution under general progressive stress accelerated life test by using time conversion idea of Nelson assumption, and the point estimations of parameters are obtained by using maximum likelihood estimation method. Moreover, it is stated that the point estimations of parameters cannot be obtained by using the methods such as regression method and inverse moment estimation. Finally, the Monte-Carlo simulation example shows the feasibility of the methods.

关 键 词：两参数Birnbaum-Saunders疲劳寿命分布 一般序进应力加速寿命试验 逆幂律模型 刻度参数 极大似然估计 

分 类 号：O32[理学—一般力学与力学基础]