双参数空间内两级齿轮传动系统的动态响应

Dynamic response of two-stage gear transmission system in dual parameter space

综合考虑齿侧间隙、轴承径向游隙、时变啮合刚度及传递误差等非线性因素,文中建立了含中间介轮的两级齿轮传动系统9自由度非线性动力学模型。采用Runge-Kutta积分法,结合3类Poincaré映射,通过数值仿真获取描述齿轮传动动态特征的啮合冲击状态分岔图,探讨了双参数空间内齿轮副动态响应与传递误差之间的相关性,验证了极端工况条件导致的齿轮副跳跃、脱啮和混沌等异常振动现象。结果表明:低频范围内,传动齿轮副擦边分岔附近存在齿面啮合冲击跃变的跳跃行为;较大的传递误差导致脱啮严重,振动加剧,为不可取参数区间;在动态设计初期,可依据系统啮合冲击运动和分岔特性选配动力学参数。

In this article,the 9-degree-of-freedom non-linear dynamic model of the two-stage gear transmission system with intermediate gears is set up,with the non-linear factors taken into consideration,such as gear backlash,bearing's radial clearance,time-varying meshing stiffness,transmission error,and so on.With the help of the Runge-Kutta integration method,in combination with the three types of Poincarémapping,a meshing-impact state bifurcation diagram which describes the the gear transmission system's dynamic characteristics is obtained through numerical simulation.The correlation between the dynamic response and the transmission error of the gear pairs in the dual parameter space is explored;abnormal vibration such as gear pair's jump,disengagement and chaos caused by the extreme operating conditions is verified.The results show that within the low-frequency range,the tooth surface's meshing impact near the edge bifurcation of the transmitted gear pair tends to jump.A major transmission error leads to severe disengagement and intensified vibration,which will lead to an undesirable range of parameters.In the early stage of dynamic design,the dynamic parameters can be selected based on the system's meshing-impact motions and bifurcation characteristics.