小样本下基于竞争失效的轴承可靠性评估

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (23) : 248-254.

论文

小样本下基于竞争失效的轴承可靠性评估

秦荦晟，陈晓阳，沈雪瑾

作者信息 +

Reliability assessment of bearings based on competing failure under small sample data

QIN Luo-sheng, CHEN Xiao-yang, SHEN Xue-jin

Author information +

文章历史 +

摘要

轴承是机械产品中重要的组成部分，其性能和寿命与机械设备的运行寿命密切相关。为获得准确的轴承可靠性评估结果，应当综合考虑不同失效模式对轴承可靠性的影响。针对轴承试验中完全失效的数据，利用Bootstrap法构造轴承寿命分布参数的先验分布，依据Bayes法估计出相应的后验分布，并对后验期望修偏即可获得轴承寿命分布参数。通过进一步分析轴承的振动性能退化数据，获得轴承局部失效的寿命分布。利用Copula函数对轴承的完全失效的寿命分布模型和局部失效寿命模型进行综合分析，借助试验数据点的经验Kendall相关秩估计Copula函数的相关参数，求得轴承竞争失效下的可靠性分析结果，获得的分析结果有助于寻找轴承设计过程中存在的缺陷，提高轴承的可靠度。

Abstract

Bearings are important parts in machinery products. Their performance and life are closely related to operating lives of mechanical systems. It is necessary to consider the effects of different failure modes on rolling bearings’ reliability. Here, aiming at the full failure data in bearings’ reliability tests, the prior distributions of bearing life distribution parameters were established with Bootstrap method. Then, the corresponding posterior distributions were estimated using Bayes method. The bearing life distribution parameters were obtained through the posterior expectation reduction. The life distribution model of bearing local failure was gained through further analyzing bearings’ vibration performance degradation data. Copula function was used to analyze comprehensively the life distribution model of bearing full failure and that of bearing local failure. The relative parameters of Copula function were estimated with the experience Kendall relative ranks of test data. Finally, the reliability assessment results of bearings under competing failure were achieved. The results were helpful to find defects in bearing design and improve the bearing reliability.

导出引用

秦荦晟，陈晓阳，沈雪瑾. 小样本下基于竞争失效的轴承可靠性评估[J]. 振动与冲击, 2017, 36(23): 248-254

QIN Luo-sheng, CHEN Xiao-yang, SHEN Xue-jin. Reliability assessment of bearings based on competing failure under small sample data[J]. Journal of Vibration and Shock, 2017, 36(23): 248-254

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