Abstract This paper presents a hybrid dynamic model for hypoid gear-shaft-bearing coupled system considering off-sized bearing rollers. The model includes bearing roller diameter error in calculating the contact deformation between the bearing roller and the race. The time-varying transmission error and mesh stiffness were also considered as system excitation, and flexible shafts were discretized by the finite element method. Dynamic differential equations are solved with numerical integration method. The effects of error magnitude, number and position distribution of off-sized rollers on the vibration of hypoid gear system were investigated. Results show that the off-sized rollers have significant influence on the gear radial displacement and bearing stiffness, and limited influence on the gear axial displacement, dynamic transmission error and dynamic mesh force. Due to off-sized rollers, the gear radial displacement spectra contain bearing cage rotational frequency. As the error magnitude increases, the peak-peak value of bearing stiffness increases, also the gear radial vibration becomes more severe. In addition, the increase in the number of off-sized rollers would also increase the gear radial vibration and the peak-peak value of bearing stiffness, while increasing the position angle of off-sized rollers has opposite effect.

中文翻译：

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准双曲面齿轮-轴-轴承耦合系统超尺寸轴承滚子的动力学计算研究

摘要 本文提出了一种考虑异型轴承滚子的准双曲面齿轮-轴-轴承耦合系统的混合动力学模型。该模型在计算轴承滚子与滚道之间的接触变形时包括轴承滚子直径误差。时变传动误差和网格刚度也被视为系统激励，并通过有限元方法对软轴进行离散化。动态微分方程采用数值积分法求解。研究了异型滚子的误差大小、数量和位置分布对准双曲面齿轮系统振动的影响。结果表明，异型滚子对齿轮径向位移和轴承刚度影响显着，对齿轮轴向位移影响有限，动态传输误差和动态啮合力。由于滚子尺寸过大，齿轮径向位移谱包含轴承保持架旋转频率。随着误差幅度的增大，轴承刚度的峰峰值增大，齿轮径向振动也变得更加剧烈。此外，异型滚子数量的增加也会增加齿轮径向振动和轴承刚度的峰峰值，而增大异型滚子的位置角则产生相反的效果。