航空学报 > 2011, Vol. 32 Issue (3): 429-437   doi: CNKI:11-1929/V.20101213.1757.011

竞争失效场合步进应力加速试验统计分析

谭源源, 张春华, 陈循   

  1. 国防科学技术大学 机电工程与自动化学院, 湖南 长沙 410073
  • 收稿日期:2010-08-02 修回日期:2010-10-09 出版日期:2011-03-25 发布日期:2011-03-24
  • 通讯作者: Tel.:0731-84573395 E-mail: chzhang@nudt.edu.cn E-mail:chzhang@nudt.edu.cn
  • 作者简介:谭源源(1982- ) 男,博士研究生。主要研究方向:加速试验理论与方法,装备寿命预测。 Tel: 0731-84573395 E-mail: yytan888@yahoo.com.cn张春华(1974- ) 男,博士,副教授。主要研究方向:可靠性强化试验,加速试验理论与方法,装备寿命预测。 Tel: 0731-84573395 E-mail: chzhang@nudt.edu.cn
  • 基金资助:

    国家部委资助项目(203020102)

Analysis of Step Stress Accelerated Testing with Competing Failure Modes

TAN Yuanyuan, ZHANG Chunhua, CHEN Xun   

  1. College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha 410073, China
  • Received:2010-08-02 Revised:2010-10-09 Online:2011-03-25 Published:2011-03-24

摘要: 竞争失效场合加速试验(AT)技术是加速试验由简单结构产品向复杂结构产品推广应用的基础。但目前的方法主要针对恒定应力加速试验,而对竞争失效场合步进应力加速试验缺乏相关研究。针对这一问题,对最一般形式(突发型失效和退化型失效并存)的竞争失效场合步进应力试验进行建模与分析。充分考虑了试验数据由于试验截尾和失效样本对应的失效模式不确定而产生的非完整性,在此基础上分别采用基于期望最大化(EM)算法的极大似然估计(MLE)和伪失效寿命MLE,对突发型失效模式和退化型失效模式进行统计分析。最后应用实例验证了方法的有效性。

关键词: 加速试验, 统计, 竞争失效模式, 步进应力, 非完整数据, 期望最大化算法

Abstract: The technology of accelerated testing (AT) with competing failure modes is the foundation of application extending from products with simple structures to products with complex structures. However, most of the methods proposed in relevant literature are for constant stress AT, and there is scarcely any study concerning methods for step stress AT. This article proposes a model and a method for analyzing a common type of step stress AT with competing failure modes in which both hard failures and soft failures exist. Full consideration is given to the incompleteness of testing data, which may be due to censoring as well as masking that occurs when the failure time is observed, but its corresponding failure mode is not identified. Then maximum likelihood estimation (MLE) based on expectation maximum (EM) algorithm and pseudo-lifetime MLE are proposed for analyzing respectively the hard failure modes and soft failure modes. Finally, case studies are performed to check the validity of the model and the method.

Key words: accelerated testing, statistics, competing failure mode, step stress, incomplete data, expectation maximum algorithm

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