基于Copula的车轮Gamma退化过程

doi:10.12068/j.issn.1005-3026.2021.04.013

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (4): 544-550.DOI: 10.12068/j.issn.1005-3026.2021.04.013

基于Copula的车轮Gamma退化过程

吕昊，金雄程，林录样

(东北大学机械工程与自动化学院，辽宁沈阳110819)

修回日期:2020-08-21 接受日期:2020-08-21 发布日期:2021-04-15
通讯作者: 吕昊
作者简介:吕昊(1982-)，男，辽宁铁岭人，东北大学讲师，博士.
基金资助:
国家自然科学基金资助项目(51605083); 中央高校基本科研业务费专项资金资助项目(N180304022); 国家留学基金委资助项目 (201906085037).

Wheel Gamma Degradation Process Based on Copula Function

LYU Hao， JIN Xiong-cheng， LIN Lu-yang

School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.

Revised:2020-08-21 Accepted:2020-08-21 Published:2021-04-15
Contact: LYU Hao
About author:-
Supported by:
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摘要/Abstract

摘要： 通过Gamma随机过程描述机车轮缘与滚动圆直径的磨耗过程，研究了运用Copula函数和四阶矩方法计算轮缘退化与滚动圆直径退化的相关可靠性方法，通过动力学软件仿真得到列车不同阶段的动力学指标.研究了镟修周期为20万km的车轮退化过程的可靠性及车轮直径退化过程的灵敏度，利用Monte Carlo仿真(MCS)验证了该方法的正确性.结果表明:镟修周期为 20万km时车轮达到预期寿命的可靠性高，基于Copula函数相关失效退化模型计算的可靠性高于独立失效模型计算的可靠性，轮径退化可靠性模型的灵敏度研究说明镟修过程中应该要选取对轮径削减较少的方案.

关键词: Gamma过程;退化过程;四阶矩;镟修周期;可靠性维修

Abstract: The wear process of the wheel flange and the rolling circle diameter was described by the Gamma random process， and the method of calculating the reliability of the wheel flange degradation and the rolling circle diameter degradation was studied by using the Copula function and the fourth-order moment method， and the dynamic indexes of the train at different stages were obtained by dynamics software simulation. The reliability of the wheel degradation process with a rotation cycle of 200，000 km and the sensitivity of the wheel diameter degradation process were studied. The correctness of the method was verified by Monte Carlo simulation (MCS).The results showed that the reliability of wheels reaching the expected life is high when the rotation cycle is 200，000 km， and the reliability calculated based on the Copula function correlation failure degradation model is higher than that calculated by the independent failure model. The sensitivity study of the wheel diameter degradation reliability model indicates that the scheme with less reduction of wheel diameter should be selected during the rotation repair.

Key words: Gamma process; degradation process; fourth-order moment; rotation period; reliability maintenance

中图分类号:

TH113

吕昊，金雄程，林录样. 基于Copula的车轮Gamma退化过程[J]. 东北大学学报（自然科学版）, 2021, 42(4): 544-550.

LYU Hao， JIN Xiong-cheng， LIN Lu-yang. Wheel Gamma Degradation Process Based on Copula Function[J]. Journal of Northeastern University(Natural Science), 2021, 42(4): 544-550.

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基于Copula的车轮Gamma退化过程

Wheel Gamma Degradation Process Based on Copula Function

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