齿轮系统轮齿啮合过程的动力学分析

Dynamics Analysis of Tooth Meshing Process of Gear System

考虑了齿轮的制造、安装误差及齿轮系统外部载荷因素,将齿轮轮齿等效为单侧接触弹簧,建立了齿轮系统基于轮齿啮合过程的动力学分析模型,并根据啮合过程中可能出现的啮入和啮出冲击、脱齿、齿面碰撞等情况,给出了用状态系数描述的动力学方程。在状态空间上对齿轮啮合过程的相轨迹进行了定性分析,根据分析结果,说明了因齿轮误差和轮齿脱齿产生的间隙在啮合过程中的作用机理,以及啮合过程出现混沌现象的成因。以轮齿啮合周期为计算单元实现了齿对连续交替接力过程的数值计算,通过实例计算证明了理论分析的正确性,并解释了齿轮系统产生大噪声和重合度小于理论值的物理现象。

Dynamic model of gear system is established with the consideration of gear manufacture error,installation error and external load.Then,according to the process of meshing process which may arise meshing impact,separation and tooth surface collisions,the dynamic equation with state coefficient is set up,and the phase path of gear mesh process is qualitatively in state space.The results show that the mechanism of clearance which arouse by gear error and gear separation during meshing process and the reasons of chaotic.Finally,taking tooth mesh period as calculation unit to achieve numerical calculation of meshing process and verified by example.The results of example give the interpretation why the gear system to produce a large noise and overlap ratio less than the theoretical value.