斜齿轮非稳态等温弹流润滑数值分析

Numerical Analysis of Transient Elastohydrodynamic Lubrication of Helical Gears

建立了渐开线斜齿圆柱齿轮弹流润滑计算的数学模型,将渐开线斜齿圆柱齿轮的啮合等效为长椭圆接触的弹流润滑问题,针对实际高速列车用齿轮在平稳运行和启动工况下,应用统一Reynolds方程方法求得了轮齿在不同啮合瞬时的非稳态弹流润滑完全数值解。结果表明:随啮合位置不同,啮合线上各点的压力、膜厚分布均有很大变化;油膜形状受瞬态挤压效应影响,与稳态解有明显不同;主动轮齿顶/被动轮根部位润滑条件相对较差。

The elastohydrodynamic lubrication （EHL） model of the helical gears was developed in which the mesh of a pair of helical gears is simplified into a long elliptical-contacts lubrication problem. Based on the unified Reynolds equation approach, the numerical solutions of transient lubrication problem of meshing process were obtained for the steady and start-up conditions. The results show that the distributions of pressure and film thickness vary greatly at different meshing positions. The transient squeezing effect has strong effect on the shape of film thickness distribution which means the transient analysis is necessary for the lubrication analysis of gear. The position of the root of the driven tooth is in relatively poor lubrication condition in engagement process.