计入线外啮合的弧齿锥齿轮变速工况动力学分析

Dynamics Analysis of Bevel Gear Transmission with Consideration of Out-of-Mesh Engagement in Variable Speed Conditions

针对弧齿锥齿轮副的稳态和变速瞬态工况进行了研究。在稳态工况下,研究发现到齿轮副的振动位移、速度和动态啮合力表现出周期性波动的特征;在啮合周期的起始和结束位置,存在振动冲击现象;在时域分析中,动态啮合力的主要振幅在啮合频率(1916Hz)及其多个倍频处,最大振幅出现在5倍啮合频率处。在变速瞬态工况下,模拟了主动轮的匀速变速过程,观察了主动轮角速度随时间的变化。结果显示,变速瞬态引发更大振幅和动态啮合力波动。

The steady state and variable speed transient conditions of curved bevel gears are investigated.Under the steady state condition,it is found that the vibration displacement,velocity and dynamic meshing force of the gear pair exhibit periodic fluctuations;at the beginning and end of the meshing cycle,there are vibration shocks;in the time-domain analysis,the main amplitude of the dynamic meshing force is at the meshing frequency(1916 Hz)and its multiple octaves,and the maximum amplitude occurs at 5 times the meshing frequency.Under the variable-speed transient condition,the uniform speed change process of the active wheel was simulated,and the variation of the angular velocity of the active wheel with time was observed.The results show that the variable speed transient triggers larger amplitude and dynamic engagement force fluctuations.