双渐开线齿轮传动的油膜刚度研究

在齿轮传动系统中，齿轮啮合刚度对振动、冲击、齿轮动力学特性分析以及接触应力计算有重要影响. 根据双渐开线齿轮齿廓啮合特点，基于弹流润滑理论，建立了双渐开线齿轮传动油膜刚度计算模型，研究双渐开线齿轮传动油膜刚度变化规律. 采用对比法分析了双渐开线齿轮与同参数普通渐开线齿轮传动油膜刚度差异，并研究双渐开线齿轮齿廓参数和工况条件对油膜刚度的影响. 分析表明:双渐开线齿轮由于轮齿分阶的影响，与同参数渐开线齿轮传动油膜刚度相比有较大差异；双渐开线齿轮传动油膜刚度随齿腰高度系数的增大而减小，齿腰切向变位系数变化时，油膜刚度基本不变；工况条件变化时，双渐开线齿轮传动油膜刚度随转速的增大而减小，随载荷增量因子的增大而增大. 

Film Stiffness of Double Involute Gears Transmission

According to the meshing characteristics of double involute gears profile and the elastohydrodynamic lubrication theory, a calculation model of film stiffness of double involute gears was established to study on the change rule of film stiffness. The difference of film stiffness between double involute gears and involute gears was analyzed by contrast method, and the influence of tooth profile parameters and working conditions was studied. The analysis showed that double involute gears had a big difference in the film stiffness compared with involute gears, due to the effect of tooth waist order. Film stiffness decreased with the increase of the height coefficient of tooth waist. Film stiffness basically remained unchanged when the tooth waist tangential modification coefficient changed. The film stiffness decreased with the increase of rotational speed and increased with the increase of load increment factor.