齿轮系统随机振动及其传动误差的可靠性及灵敏度分析  

The Reliability and Sensitivity Analysis of the Gear Random Vibration System and Transmission Error

作　　者：王倩倩[1] 张义民[1] 张振先[2] 蒋跃辉[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819 [2]南车青岛四方机车车辆股份有限公司高速列车系统集成国家工程实验室(南方),山东青岛266111

出　　处：《东北大学学报（自然科学版）》2011年第12期1741-1744,共4页Journal of Northeastern University(Natural Science)

基　　金：长江学者和创新团队发展计划项目(IRT0816);"高档数控机床与基础制造装备"科技重大专项(2010ZX04014-014);国家自然科学基金资助项目(50875039);"十一五"国家科技支撑计划项目(2009BAG12A02-A07-2)

摘　　要：基于齿轮动力学模型建立了齿轮传动系统耦合振动的可靠性模型,解决了齿轮耦合振动的可靠性分析和可靠性灵敏度分析的问题.将齿轮系统的非线性动力响应与可靠性技术相结合,利用四阶矩技术、Edgeworth级数方法对齿轮振动的振幅响应和系统传递误差进行了可靠性分析,并基于失效模式相互独立分析了系统的可靠度.在可靠度分析基础上求解了可靠度对随机参数均值与方差的灵敏度.所述方法可有效地解决齿轮系统的振动可靠性问题,并可指导其结构的优化设计,以减少因振动引起的齿轮系统传动的不稳定性问题.Reliability and reliability based sensitivity problem of a gear coupling vibration system was solved with the reliability model established on the basis of the dynamical model of the gear system.Combining the nonlinear dynamical response with the reliability analysis technique,the fourth moment technique and Edgeworth series method are used to calculate the reliability of the vibrating amplitudes and the transmission error.The system reliability is obtained with independence of failure modes.The reliability based sensitivities with respect to the mean and variance of the random parameters are analyzed based on the study of the system reliability.The as-proposed method is effective for solving the reliability problems of gear vibration systems and governing the structures optimized design,which is useful to reduce the instability issue caused by vibration.

关 键 词：耦合振动 可靠性 四阶矩技术 灵敏度 

分 类 号：TB114.33[理学—概率论与数理统计]