建立非等模数非等压力角NGW型行星齿轮系的计算模型,针对各齿轮的偏心误差和齿频误差,运用当量啮合误差原理和浮动构件的静力平衡关系,推导出该系统的静力学方程;对方程进行求解并与等模数等压力角系统的均载特性进行比较,同时还讨论太阳轮(或内齿轮)压力角、齿轮误差、啮合刚度与支撑刚度对该系统均载特性的影响。研究结果表明:非等模数非等压力角行星齿轮系有着较好的均载效果,其均载特性不会随着压力角改变而产生大的波动;太阳轮浮动支撑机构对系统的均载特性有很大的改善;选择误差相同的行星齿轮、减小太阳轮和行星轮的支撑刚度均有利于系统均载。
An analytical model for NGW planetary gear train with unequal modulus and pressure angles was presented,and in consideration of the eccentric error and tooth-frequency error of parts,a static equation of the NGW planetary system was developed based on the theory of equivalent mesh error and the principle of static equilibrium.After equation was solved,the load sharing characteristics were compared with the normal gear transmission.Also the load sharing behavior of each planet was analyzed and compared by the sun and the ring pressure angle,the difference of the gear error,the variety of mesh stiffness and support stiffness.The analysis results show that planetary gear train with unequal modulus and pressure angles has better load sharing behavior,which does not change significantly with the different pressure angles,the floating sun gear has improved the load sharing behavior substantially,and the planets fixed with the same production batch and the lower support stiffness of the sun and the planets benefit the load sharing behavior.