含时变刚度及侧隙的多级齿轮系统非线性动力学特性分析  

Non-linear dynamic feature analysis of a multi-stage gear system with time-varying mesh stiffness and backlash

作　　者：胡鹏[1] 路金昌[1] 张义民[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819

出　　处：《振动与冲击》2014年第15期150-156,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(51135003;U1234208);长江学者和创新团队发展计划(No.IRT0816);"高档数控机床与基础制造装备"科技重大专项课题(2013ZX04011011)资助

摘　　要：对某伺服刀架动力传动部分的直齿圆柱齿轮系统进行模型简化,考虑啮合过程中时变啮合刚度,齿轮静态传递误差及齿侧间隙的影响,建立四级传动系统非线性动力学方程组。采用Runge-Kutta法对方程组进行数值求解,分析系统在不同转速,不同的啮合刚度的作用下,输入端和输出端齿对的动态传递误差(DTE)和动态啮合力的变化趋势。由于存在非线性,系统对参数的变化较为敏感,仿真显示齿对的啮合状态比例及稳定性在不同转速段存在较大差异,且对DTE及动态啮合力的值有较大影响。该结果为实现动力传动系统的平稳性提供了参考依据,具有较强的工程实际意义。As a part of a certain servo turret,the model of a power transmission spur gear system was simplified.The vibration differential equations of a four-stage gear transmission system including time-varying parameters and piecewise-linear functions were established. In the proposed model,time-varying mesh stiffness,static transmission error and backlash were considered. The equations were solved numerically by using Runge-Kutta method. The dynamic transmission error（ DTE） and the dynamic meshing force of input and output gear pairs were analyzed at different rotating speeds and with different meshing stiffnesses. Due to nonlinearity,the system response was sensitive to parameters variation. The results showed that the meshing state ratio and meshing stability of the gear pairs are quite different within different rotational speed ranges; they have a great effect on DTE and dynamic meshing force. The results provided a reference for the smoothness of power transmission systems and had a strong actual engineering significance.

关 键 词：时变啮合刚度 齿侧间隙 RUNGE-KUTTA法 动态传递误差 动态啮合力 

分 类 号：TH132.41[机械工程—机械制造及自动化]