In this paper, the mathematical model of gear elastohydrodynamic lubrication is presented. The transient impact operating condition and underdamped load condition are considered. Taking thermal effect and squeeze effect into account, the full numerical solution of gear pairs is obtained. In this numerical calculation, multigrid method is applied to compute the film pressure; multigrid integration technique is used to calculate the solid surface deformation; column by column scanning technique is employed to calculate temperature. The simulation results show that an entrapped film dimple forms under transient impact condition; transient impact causes remarkable increases in film pressure and film temperature. Compared with the normal case the minimum thickness of the impact case is smaller, which is not beneficial to teeth lubrication. Thermal effect induces some decreases in film thickness because of the viscosity–temperature relationship. Vibrational load with high damped frequency causes greater increases in film thickness and greater decreases in the coefficient of friction than that of low damped frequency. However, the film temperature of high damped frequency is higher than that of low damped frequency.

中文翻译：

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瞬态冲击和振动对直齿轮润滑性能的影响

本文提出了齿轮弹流润滑的数学模型。考虑了瞬态冲击工况和欠阻尼载荷工况。考虑热效应和挤压效应，得到齿轮副的全数值解。本次数值计算采用多重网格法计算薄膜压力；采用多重网格积分技术计算固体表面变形；采用逐列扫描技术计算温度。仿真结果表明，瞬态冲击条件下会形成夹带薄膜凹坑；瞬态冲击会导致薄膜压力和薄膜温度显着增加。与正常情况相比，冲击箱的最小厚度更小，不利于牙齿润滑。由于粘度-温度关系，热效应会导致薄膜厚度有所降低。与低阻尼频率相比，具有高阻尼频率的振动载荷会导致薄膜厚度的更大增加和摩擦系数的更大降低。然而，高阻尼频率的薄膜温度高于低阻尼频率的薄膜温度。