渐开线齿轮啮合碰撞力仿真

Simulation of contact force of involute gear meshing

为获得渐开线齿轮啮合传动时轮齿碰撞力的变化规律,提出基于动力学仿真的渐开线轮齿碰撞力计算方法。建立一对渐开线齿轮啮合传动的动力学模型,给出基于Hertz接触理论的齿轮啮合传动时轮齿碰撞力的计算方法。对齿轮啮合传动时的轮齿碰撞力、x向碰撞力和y向碰撞力的变化规律及其频谱特征进行仿真研究。仿真结果表明:齿轮啮合传动时碰撞力的幅值波动显著,轮齿从啮入到啮出,碰撞力从0 kN增加到最大碰撞力后又减小至0 kN,具有明显的周期性;碰撞力频谱中会出现齿轮啮合频率的1倍频和2倍频;x向碰撞力和y向碰撞力幅值波动显著,具有相同的频谱特征,相位相差约90°;频谱中出现齿轮的旋转频率和啮合频率,存在明显的调制现象,其中载波为齿轮的啮合频率,调制波为齿轮的旋转频率。

In order to obtain the changing pattern of contact force of involute gear meshing,a computation method based on dynamic simulation was proposed.The dynamic model of involute gear meshing was established and the computation method for contact force of gear meshing based on Hertz theory was also introduced.With the dynamic model,the contact force and the frequency spectrum of gear meshing,x direction and y direction were simulated.The simulation results show that the amplitude of the contact force of gear meshing changes obviously.From the moment of meshing approach and meshing recess,the experience of contact force is from 0 kN to maximum and from maximum to 0 kN.Frequency multiplication of 1 and 2 of meshing frequency are in the frequency spectrum of contact force.The contact force of gear meshing of x direction and y direction changes obviously with explicit frequency modulation,and the frequency of rotation and frequency of meshing are in the frequency spectrum.The carrier wave is the meshing frequency of gear and the modulation wave is the rotary frequency of gear.The contact force of gear meshing of x direction and y direction has the same frequency spectrum and phase difference of 90°.