基于响应面法的地铁齿轮箱箱体时变可靠性研究  

Research on Time-dependent Reliability of Subway Gearboxes Based on the Response Surface Method

作　　者：裴帮 李志远 李学飞 陈卓 何鹏辉 黄晓丹 Pei Bang;Li Zhiyuan;Li Xuefei;Chen Zhuo;He Penghui;Huang Xiaodan(Zhengzhou Research Institute of Mechanical Engineering Co.,Ltd.,Zhengzhou 450052,China)

机构地区：[1]郑州机械研究所有限公司,河南郑州450052

出　　处：《机械传动》2023年第2期142-148,共7页Journal of Mechanical Transmission

基　　金：国家重点研发计划(2018YFB2001700)。

摘　　要：地铁齿轮箱作为地铁车辆的核心部件,其可靠性决定了整辆列车的可靠性。地铁的运行过程包括启动、持续、高速、短路工况,短路工况箱体受力最大,可靠度最低。根据GB/T 21563—2018的测试要求,对某型号地铁齿轮箱箱体的超常工况(工况1)和实际运行过程中发生的短路工况(工况2)进行了可靠性分析。考虑铸造公差、材料参数、输入转矩的不确定性对箱体最大等效应力与最大变形的影响,采用CCD实验设计方法进行了样本计算并拟合出响应面,结合蒙特卡罗抽样得出静态可靠度;在此基础上,结合顺序统计量理论对多次载荷作用进行等效,得出了箱体随载荷作用次数变化的可靠度。结果表明,两种工况下,载荷作用105次后,箱体的可靠度仍然很高,符合设计要求;根据时变可靠度图得知,尽管工况2的应力均值小于工况1,但与工况1相比方差较大,这导致了工况2的可靠度下降速率大于工况1。所以,应减小应力的离散度,以增加运行时的可靠性。As the core components of metro vehicles,the reliability of metro gearboxes determines the reliability of the whole train.The operation process of subway includes start-up,continuity,high-speed and short circuit conditions.In short circuit conditions,the box body has the maximum stress and the lowest reliability.According to the test requirements of national standard“Railway applications—Rolling stock equipment—Shock and vibration tests”,the reliability analysis of metro gearboxes in abnormal condition(condition 1)and short circuit condition(condition 2)occurring in actual operation is carried out.Thus,the influence of casting tolerance,material parameters and input torque uncertainties on the maximum equivalent stress and maximum deformation of the box body are considered.The CCD experimental design method is used to calculate the sample and fit the response surface,and the static reliability is obtained combined with Monte Carlo sampling.On this basis,combined with the order statistic theory,the reliability of the box with the number of loads is obtained.The results show that the reliability of the box body is still very high and meets the design requirements after 100 thousand loads under the two working conditions.According to the time-dependent reliability diagram,although the mean value of stress in working condition 2 is smaller than that in working condition 1,the variance is larger than that in working condition 1,which leads to the reliability decline rate of working condition 2 is greater than that in working condition 1.Therefore,the dispersion of stress should be reduced to increase the reliability during operation.

关 键 词：蒙特卡罗 响应面 顺序统计量 时变可靠度 

分 类 号：U270.3[机械工程—车辆工程]