行星齿轮系统弯扭耦合振动的增量谐波平衡法  

Incremental Harmonic Balance Method for Coupled Bending and Torsional Vibration in Planetary Gear System

作　　者：姚红良[1] 许琦[1] 茅列前[1] 闻邦椿[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

出　　处：《东北大学学报（自然科学版）》2013年第10期1451-1455,共5页Journal of Northeastern University(Natural Science)

基　　金：国家高技术研究发展计划项目(2012AA062002);中央高校基本科研业务费专项资金资助项目(N120403007);国家自然科学基金资助项目(51005042);国家重点基础研究发展计划项目(2011CB706504)

摘　　要：针对行星齿轮传动机构弯扭耦合振动方程是半正定方程而无法直接采用增量谐波平衡法进行求解的问题,引入微小相对位移量来描述行星齿轮系统中各个部件之间的相对运动.采用运动转移矩阵将半正定方程转化为正定方程,同时考虑齿轮啮合刚度时变的非线性特性,采用增量谐波平衡法分析了行星齿轮系统非线性动力学响应.通过与数值求解方法Newmark-β法相对比,计算结果一致,验证了本文方法的正确性及高效性.Incremental harmonic balance （IHB） method could not solve the coupled bending and torsional vibration equation of positive semi-definite in planetary gear transmission mechanism directly, and micro-relative displacement was applied to describe relative motion between the parts in the planetary gear system. The motion transfer matrix was used to transform positive semi- definite equation into positive definite equation. Meanwhile, considering the time-varying nonlinear characteristics of gear mesh stiffness, the IHB method was used to analyze the nonlinear dynamics response in the planetary gear system. The correctness and efficiency of the proposed method were verified by comparison with Newmark-β method.

关 键 词：行星齿轮 弯扭耦合振动 增量谐波平衡法 非线性 动力学响应 

分 类 号：TH113[机械工程—机械设计及理论]