单粗糙峰对直齿圆柱齿轮热弹流润滑的影响

The Influences of Bump on the Thermal Elastohydrodynamic Lubrication of Involute Spur Gear

建立了单粗糙峰函数模型,给出了考虑单粗糙峰时的膜厚方程。应用多重网格技术研究了单粗糙峰的幅值和波长对直齿圆柱齿轮热弹流润滑的影响,并将单粗糙峰在不同幅值和波长情况下的中心压力、中心膜厚、最大温升和最小膜厚沿啮合线的变化与光滑解进行了比较。结果表明:单粗糙峰幅值和波长对齿轮热弹流润滑有着不同的影响,其中中心压力和最大温升随幅值的增大而增大,随波长的增大而减小,中心膜厚随幅值的增大而减小,随波长的增大而增大;与光滑解相比,粗糙峰的存在对弹流润滑产生较大的影响,使中心压力变大、中心膜厚变薄、最大温升值变大。

The model of bump was set up, and the film thickness of bump was introduced. With the multi-grid method, the influence of bump at different wavelength and amplitude on the thermal elastohydrodynamic lubrication（EHL） of invo- lute spur gear was investigated along the line of action. The resluts of central pressure, central film thickness, minimum film thickness and peak temperature rise along the line of action at different wavelength and amplitude were compared with smoothing solutions. The results show that amplitude and wavelength have large influence on central pressure, central film thickness and peak temperature rise. The central pressure and peak temperature rise increase with the increase of ampli- tude, and decrease with the increase of wavelength. The central film thickness decreases with the increase of amplitude and increases with the increase of wavelength. Compared to the smoothing solution, the bump has large influence on elasto- hydrodynamic lubrication, which increases the central pressure and peak temperature rise, decreases the central film thick- ness.