中文摘要：

工程实践中没有理想光滑的表面,在齿轮弹流润滑中,油膜的厚度通常与某些切削工艺形成的金属表面粗糙度处于同一数量级,所以表面粗糙度对齿轮弹流润滑的影响是不应该忽略的。在考虑不同啮合点处的曲率半径、卷吸速度、轮齿载荷随时间变化的基础上,考虑轮齿表面连续波状粗糙度对弹流润滑的影响,利用多重网格技术求得齿轮瞬态微观热弹流润滑的完全数值解。结果表明,连续波状粗糙度会造成齿轮瞬态弹流润滑的油膜压力和温升产生振荡,并使最小膜厚变薄,最高压力变大,最大温升增大。轮齿间振荡的高压和高温会造成齿轮振动疲劳破坏,所以连续的波状粗糙度对齿轮的润滑是不利的。

英文摘要：

There is no perfect smooth surface in project. The elastohydrodynamic lubrication （EHL） oil film thickness between the two meshing gear teeth has the same order of magnitude with the cutting tooth surface roughness height in most cases. So the influence of surface roughness on the EHL of gears should not be ignored in engineering project. A series of sinusoidal waves are assumed on the tooth surface and the lubricant is assumed to be a Newtonian fluid. Based on the multi-grid （MG） method for solving the pressures, the multi-level multi-integration （MLMI） approach for evaluating the elastic deformations, a sequential column sweeping scheme for solving the energy equations, a numerical method for solving the pressures, film thicknesses, and temperatures in the lubricated regions is developed, and the full numerical solutions of involute spur gears are obtained. The influence of tooth surface roughness, thermal effects and transient effects on the EHL is taken into account. The influence of the roughness wave profile on the EHL is discussed. The results show that the tooth surface roughness has strong influence on the oil film pressure distribution and the temperature rise between the contact teeth. A series of roughness waves make oil film pressure and film thickness oscillating, and make the minimum film thickness thinner, the maximum pressure larger and the maximum oil temperature rise higher. So it is more likely to bring out the fatigue failure of the gear teeth.