考虑星轮个数及间隙的行星传动动态均载特性

Dynamic Load Sharing Characteristic of Planetary Transmission Considering Number of Planetary Wheel and Clearance

为研究星轮个数及间隙对行星传动系统动态均载特性的影响情况,基于集中参数理论,考虑了误差、支撑刚度、载荷及间隙等因素,建立了中心轮浮动式行星传动系统的动力学模型;采用Runge-Kutta数值方法对模型进行求解,建立了星轮个数、间隙与均载特性的影响关系。结果表明,随着齿侧间隙的变化,均载系数快速下降后趋于平缓,且齿侧间隙具有补偿作用,减弱了行星轮增多导致的分配不均现象,提高了系统的均载特性;随着支撑间隙增大,均载系数几乎以恒定速度快速下降后保持不变,且支撑间隙使得系统处于浮动传动状态,具有较好的均载特性;小转矩时,系统对间隙敏感程度高,可以有效缓解误差所引起的分配不均问题;随着转矩增大,误差激励受到抑制,均载性能提高。

In order to study the influence of the number of planetary wheel and clearance on the dynamic load sharing characteristics of the planetary transmission system,based on the lumped parameter theory,considering the factors such as error,support stiffness,load and clearance,the dynamics model of the central wheel floating planetary transmission system is established. The model is solved by Runge-Kutta numerical method,and the relationship between the number of planetary wheel,the clearance and the load sharing characteristics is established. The results show that,with the change of the tooth flank clearance,the load sharing coefficient decreases rapidly and tend to be gentle,and the tooth flank clearance has a compensating effect,which reduces the uneven distribution caused by the increase of the planetary gears and improves the load sharing characteristics of the system. As the support clearance increases,the load sharing coefficient decreases almost at a constant speed,and the support clearance makes the system in a floating transmission state,which has better load sharing characteristics. When the torque is small,the system is highly sensitive to the clearance and can effectively alleviate the problem of uneven distribution caused by the error. As the torque increases,the error excitation is suppressed and the load sharing performance is improved.