【摘要】 为分析一定润滑条件下变位行星齿轮的动力学特性，建立了变位行星齿轮的润滑数学模型，引入渐进网格加密(PMD)算法，提出了变位行星齿轮传动油膜刚度及摩擦系数计算方法．分析了运行工况、润滑参数及变位系数等因素对变位行星齿轮油膜刚度及摩擦系数等润滑性能的影响，建立了考虑弹流润滑的变位行星齿轮传动动力学模型，详细分析了变位系数对其动态性能的影响．结果表明：由于综合曲率半径的影响，太阳轮-行星轮啮合副的油膜刚度从整体上要大于内齿圈-行星轮啮合副，当载荷增大时，油膜的存在会提升系统的抗冲击能力，不同的变位设计会改变啮合节点的位置，在一个啮合周期之内，当啮合节点位于第二个双齿啮合区域的位置，其摩擦力方向不会发生改变；当啮合节点位于第一个双齿啮合区域时，其摩擦力方向会发生改变，但不会发生突变；当啮合节点位于单齿啮合区域时，其摩擦力会发生反向突变．因此，太阳轮采用合适的正变位设计会增大内啮合副的油膜刚度及重合度，可以显著提高系统的传动平稳性．更多还原

【Abstract】 To investigate the dynamics characteristics of profile shifted planetary gears under certain lubrication conditions,a lubrication mathematical model of profile shifted planetary gears was established. The progressive mesh density(PMD) algorithm was introduced,and a method for calculating oil film stiffness and friction coefficient in profile shifted planetary gear transmissions was proposed. The effects of operating conditions,lubrication parameters,and profile shifted coefficients on the lubrication performance,such as oil film stiffness and friction coefficient,were analyzed. A dynamics model of profile shifted planetary gear transmission considering elastohydrodynamic lubrication was developed,and the impact of profile shifted coefficients on its dynamic performance was analyzed in detail. Results show that due to the influence of the comprehensive curvature radius,the oil film stiffness of the sun gear-planet gear meshing pair is generally greater than that of the ring gear-planet gear meshing pair.As the load increases,the presence of the oil film enhances the system’s impact resistance.Different profile shifted designs alter the position of the meshing points. During a meshing cycle,when the meshing point is located in the second double-tooth meshing region,the direction of friction does not change;when the meshing point is in the first double-tooth meshing region,the friction direction changes but does not experience a sudden shift;when the meshing point is in the single-tooth meshing region,the friction force undergoes a sudden reversal. Therefore,using an appropriate positive profile shifted design for the sun gear increases the oil film stiffness and meshing overlap of the internal meshing pair,significantly improving the transmission stability of the system.更多还原