多失效模式履带车辆传动齿轮可靠性灵敏度分析
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摘要
为了解决不同失效模式存在时履带车辆传动齿轮的可靠性灵敏度分析问题,运用随机摄动理论、四阶矩技术与Edgeworth级数,推算出不同失效模式的统计相关特性及可靠性指标,并求解出随机变量参数服从任意分布的部件各失效模式可靠度。利用机械部件失效模式少且一种失效即整体失效的特点,将失效模式串联模型视为部件的失效。在此基础上,结合梯度算法得到随机参数均值与方差的灵敏度计算公式。通过实例的计算验证表明,此方法可有效地估算多失效模式下机械零部件的灵敏度数值,为机械部件的优化设计提供参考。
In order to solve the problem of reliability sensitivity analysis of tracked vehicle transmission gears in the presence of different failure modes, the random perturbation theory, the fourth moment method and Edgeworth series are employed to calculate the statistical correlation and reliability index of each performance function of the failure modes, and the reliability of the failure modes of the mechanical component with the arbitrary random distribution parameters. According to the future that only a few potential failure modes existed in the component and the overall fails when a failure mode occurs in parts, the failure of the component is regarded as the failure of a series system. On this basis, the calculating formulas of reliability sensitivity of the mean and variance of random variables are derived with the gradient method. The example illustrates that this method could effectively estimate the reliability sensitivity of mechanical components with multiple failure modes and provide reference for the optimization design of mechanical components.
In order to solve the problem of reliability sensitivity analysis of tracked vehicle transmission gears in the presence of different failure modes, the random perturbation theory, the fourth moment method and Edgeworth series are employed to calculate the statistical correlation and reliability index of each performance function of the failure modes, and the reliability of the failure modes of the mechanical component with the arbitrary random distribution parameters. According to the future that only a few potential failure modes existed in the component and the overall fails when a failure mode occurs in parts, the failure of the component is regarded as the failure of a series system. On this basis, the calculating formulas of reliability sensitivity of the mean and variance of random variables are derived with the gradient method. The example illustrates that this method could effectively estimate the reliability sensitivity of mechanical components with multiple failure modes and provide reference for the optimization design of mechanical components.
引文
[1] 张培林,何忠波,吕建刚,等.车辆结构与原理[M].北京:国防工业出版社,2007:53.ZHANG PeiLin,HE ZhongBo,LV JianGang,et al.Vehicle structure and principle [M].Beijing:National Defence Industry Press,2007:53 (In Chinese).
[2] 唐家银,何平,梁红琴,等.多故障模式高长寿命产品相关性失效的综合可靠性评估[J].机械工程学报,2013,49(12):176-182.TANG JiaYin,HE Ping,LIANG HongQin,et al.Comprehensive reliability assessment of long-life products with correlated multiple failure modes [J].Journal of Mechanical Engineering,2013,49(12):176-182(In Chinese).
[3] Dong-Seok Kim,Seung-Yong OK,Hyun-Moo Kob.System reliability analysis using dominant failure modes indentified by selective searching technique[J].Reliability Engineering and System Safety,2013,119(11):316-331.
[4] 李昌,玄成明,韩兴,等.多种失效模式相关的机构运动可靠度计算方法[J].航空动力学报,2014,29(6):1382-1387.LI Chang,XUAN ChengMing,HAN Xing,et al.Mechanism motion reliability calculation method considering correlative multi-failure modes[J].Journal of Aerospace Power,2014,29(6):1382-1387(In Chinese).
[5] LI Dian-qing,ZHOU Chuang-bing,LU Wen-bo,et al.Asystem reliability approach for evaluating stability of rock wedges with correlated failure modes [J].Computer and Geotechnics,2009,36(8):1298-1307.
[6] 张道兵,杨小礼,朱川曲.多失效模式下的结构系统可靠度计算研究[J].采矿与安全工程学报,2013,30(1):100-106.ZHANG DaoBing,YANG XiaoLi,ZHU ChuanQu.Reliability calculation of structure system correlated with multiple failure modes [J].Journal of Mining & Safety Engineering,2013,30(1):100-106(In Chinese).
[7] HUANG Wei,DIETRICH D L.An alternative reliability modeling approach using maximum likehood estimation[J].IEEE Transactions on Rreliability:2005,54(2):310-317.
[8] 金雅娟.鞍点逼近在多参数齿轮可靠性及灵敏度分析中的应用[J].机械科学与技术,2013,32(11):1685-1689.JIN YaJuan.The application of saddle point approximation to the reliability and sensitivity analysis of mult-parameter gear [J].Mechanical Science and Technology for Aerospace Engineering,2013,32(11):1685-1689 (In Chinese).
[9] 张义民,曹辉,王昊,等.基于主轴动态响应的车削加工精度可靠性及灵敏度分析,2015,34(23):14-17.ZHANG YinMin,CAO Hui,WANG Hao,et al.Reliability and reliability sensitivity analyses of cutting precision based on a lathe spindle’s dynamic responses [J].Journal of Vibration and Shock,2015,34(23):14-17 (In Chinese).
[10] 安宗文,辛玉.基于重要抽样法的风电齿轮箱齿轮可靠性灵敏度分析[J].兰州理工大学学报,2015,41(3):36-40.AN ZongWen,XIN Yu.Sensitivity analysis of reliability of gear in wind turbine gear-box based on important sampling method [J].Journal of Lanzhou University of Technology,2015,41(3):36-40 (In Chinese).
[11] 邱继伟,张瑞军,王晓伟.基于灵敏度目标附加函数的可靠性稳健优化设计[J].机械强度,2014,36(1):45-50.QIU JiWei,ZHANG RuiJun,WANG XiaoWei.Reliability-based robust optimization design based on the adjunctive of sensitivity of the objective[J].Journal of Mechanical Strength,2014,36(1):45-50 (In Chinese).
[12] ZHANG Y M,YANG Z.Reliability-based sensitivity analysis of vehicle components with non-normal distribution parameters [J].International Journal of Automotive Technology,2009,10(2):181-194 (In Chinese).
[13] 现代机械传动手册编辑委员会.现代机械传动手册(第2篇齿轮传动)[M].北京:机械工业出版社,2002:393-421.Editor Committee on Handbook of Modern Machinery.Handbook of Modern Machinery [M].Beijing:China Machine Press,2002:393-421 (In Chinese).
[2] 唐家银,何平,梁红琴,等.多故障模式高长寿命产品相关性失效的综合可靠性评估[J].机械工程学报,2013,49(12):176-182.TANG JiaYin,HE Ping,LIANG HongQin,et al.Comprehensive reliability assessment of long-life products with correlated multiple failure modes [J].Journal of Mechanical Engineering,2013,49(12):176-182(In Chinese).
[3] Dong-Seok Kim,Seung-Yong OK,Hyun-Moo Kob.System reliability analysis using dominant failure modes indentified by selective searching technique[J].Reliability Engineering and System Safety,2013,119(11):316-331.
[4] 李昌,玄成明,韩兴,等.多种失效模式相关的机构运动可靠度计算方法[J].航空动力学报,2014,29(6):1382-1387.LI Chang,XUAN ChengMing,HAN Xing,et al.Mechanism motion reliability calculation method considering correlative multi-failure modes[J].Journal of Aerospace Power,2014,29(6):1382-1387(In Chinese).
[5] LI Dian-qing,ZHOU Chuang-bing,LU Wen-bo,et al.Asystem reliability approach for evaluating stability of rock wedges with correlated failure modes [J].Computer and Geotechnics,2009,36(8):1298-1307.
[6] 张道兵,杨小礼,朱川曲.多失效模式下的结构系统可靠度计算研究[J].采矿与安全工程学报,2013,30(1):100-106.ZHANG DaoBing,YANG XiaoLi,ZHU ChuanQu.Reliability calculation of structure system correlated with multiple failure modes [J].Journal of Mining & Safety Engineering,2013,30(1):100-106(In Chinese).
[7] HUANG Wei,DIETRICH D L.An alternative reliability modeling approach using maximum likehood estimation[J].IEEE Transactions on Rreliability:2005,54(2):310-317.
[8] 金雅娟.鞍点逼近在多参数齿轮可靠性及灵敏度分析中的应用[J].机械科学与技术,2013,32(11):1685-1689.JIN YaJuan.The application of saddle point approximation to the reliability and sensitivity analysis of mult-parameter gear [J].Mechanical Science and Technology for Aerospace Engineering,2013,32(11):1685-1689 (In Chinese).
[9] 张义民,曹辉,王昊,等.基于主轴动态响应的车削加工精度可靠性及灵敏度分析,2015,34(23):14-17.ZHANG YinMin,CAO Hui,WANG Hao,et al.Reliability and reliability sensitivity analyses of cutting precision based on a lathe spindle’s dynamic responses [J].Journal of Vibration and Shock,2015,34(23):14-17 (In Chinese).
[10] 安宗文,辛玉.基于重要抽样法的风电齿轮箱齿轮可靠性灵敏度分析[J].兰州理工大学学报,2015,41(3):36-40.AN ZongWen,XIN Yu.Sensitivity analysis of reliability of gear in wind turbine gear-box based on important sampling method [J].Journal of Lanzhou University of Technology,2015,41(3):36-40 (In Chinese).
[11] 邱继伟,张瑞军,王晓伟.基于灵敏度目标附加函数的可靠性稳健优化设计[J].机械强度,2014,36(1):45-50.QIU JiWei,ZHANG RuiJun,WANG XiaoWei.Reliability-based robust optimization design based on the adjunctive of sensitivity of the objective[J].Journal of Mechanical Strength,2014,36(1):45-50 (In Chinese).
[12] ZHANG Y M,YANG Z.Reliability-based sensitivity analysis of vehicle components with non-normal distribution parameters [J].International Journal of Automotive Technology,2009,10(2):181-194 (In Chinese).
[13] 现代机械传动手册编辑委员会.现代机械传动手册(第2篇齿轮传动)[M].北京:机械工业出版社,2002:393-421.Editor Committee on Handbook of Modern Machinery.Handbook of Modern Machinery [M].Beijing:China Machine Press,2002:393-421 (In Chinese).