考虑由各齿轮的偏心误差和齿频误差引起的内部激励,建立了非等模数非等压力角NGW型行星齿轮系的动力学微分方程,应用Fourier级数法求解方程,并给出了动载系数的表达式.在此基础上,将其与等模数等压力角齿轮系的均载效果进行比较,并讨论了太阳轮分度圆压力角、齿轮误差、太阳轮转速对该系统均载特性的影响.计算结果表明:设计非等模数非等压力角行星齿轮系时,通过确定合适的齿轮压力角,能够使系统具有较好的均载特性;太阳轮浮动支承机构可以改善系统的均载性能;转速对系统的均载有较大的影响,相同转速下的非等模数非等压力角设计有着较好的均载效果.
In this paper,first,a dynamic differential equation of the NGW planetary gear train system with unequal moduli and pressure angles is established by taking into consideration the internal excitation caused by the eccentric error and tooth-frequency error of each gear.Next,the equation is solved by means of Fourier series method.Then,the dynamic load coefficients are formulated and are compared with those of the normal gear train.Finally,the load-sharing behaviors of the gear train,which are affected by the sun-gear pressure angles in pitch circle,the gear error and the rotating speed of the sun gear,are analyzed.Calculated results indicate that the planetary gear train with suitable pressure angles is of excellent load-sharing behaviors,that the floating sun gear improves the load-sharing behaviors and the rotating speed also greatly influences the load-sharing,and that,at the same rotating speed,the loading-sharing effect of the planetary gear train with unequal moduli and pressure angles is better than that of the normal one.