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基于比例失效率模型的退化数据分析方法
引用本文:钟强晖,张志华,梁胜杰.基于比例失效率模型的退化数据分析方法[J].北京航空航天大学学报,2012,38(1):43-47.
作者姓名:钟强晖  张志华  梁胜杰
作者单位:海军工程大学兵器工程系,武汉,430033;海军工程大学应用数学系,武汉,430033
摘    要:利用产品的性能退化数据进行可靠性评估是一个解决失效寿命数据不充分的重要方法.在分析产品的失效率与失效阀值具有紧密相关性的基础上,通过引入比例失效率模型描述产品可靠性与失效阀值的关系,并根据产品寿命分布与退化量分布之间的关系建立了退化分析模型.在不假定物理退化轨迹模型和退化量分布的情况下,利用产品的退化信息获得产品在不同检测时刻和失效阀值下的可靠度,通过分布拟合方法获得未知参数的估计值,进而对产品进行可靠性评估.该方法不仅放松了模型的假设条件,也适于处理一些具有非平衡数据结构的退化数据,具有较广的适应性.最后,通过实例进行了不同方法的比较,验证了该方法的有效性.

关 键 词:退化数据  比例失效率函数  最小二乘估计  失效阈值  可靠性
收稿时间:2010-09-14

Approach for degradation data analysis based on proportional failure rate model
Zhong Qianghui,Zhang Zhihua,Liang Shengjie.Approach for degradation data analysis based on proportional failure rate model[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(1):43-47.
Authors:Zhong Qianghui  Zhang Zhihua  Liang Shengjie
Institution:1. Weapon Engineering Department, Naval University of Engineering, Wuhan 430033, China;
2. Applied Mathematics Department, Naval University of Engineering, Wuhan 430033, China
Abstract:Reliability evaluation using products' performance degradation data has become an important method which solves the problem of insufficient failure lifetime observations. On the basis of analyzing the close correlation between products' failure rate and failure critical values, the proportional failure rate mode was introduced for describing the relationship between products' life and failure critical values, and the degradation analysis model was built using the relationship between the lifetime distribution and the degradation characteristic' distribution. In the proposed approach, the physical degradation path model and the degradation characteristic's distribution were not assumed, the values of reliability at different inspection times and different failure critical values were got using products' degradation information, then the unknown parameters were estimated through distribution fitting method and reliability assessment was performed. This approach not only relaxes model assumptions, but applies to dealing with some non-balanced-structure degradation data, which makes it have better adaptability. Finally, an example was given to demonstrate the validity of this approach.
Keywords:degradation data  proportional failure rate function  least squares estimation  failure critical value  reliability
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