点接触混合润滑的数值求解方法

Numerical Solving Method of Mixed Lubrication in Point Contact

基于半系统法的统一Reynolds方程,对点接触混合润滑进行数值模拟。在流体润滑区,采用Reynolds方程求解流体压力,在固体接触区采用简化Reynolds方程求解压力。弹性变形使用离散卷积-快速傅里叶变换(DC-FFT)计算。为了加快迭代收敛速度,在数值求解过程中使用渐进网格加密(Progressive Mesh Densification,PMD)算法。数值模拟结果表明,该模型可以快速地求解光滑和粗糙表面条件下的各种润滑情况,包括全膜、混合和边界润滑;随着卷吸速度的增加,润滑状态从边界到混合再到全膜润滑是个光滑过渡的过程。

The numerical simulation of mixed lubrication in point contact was studied based on the semi-system method with a unified Reynolds equation. In the hydrodynamic lubrication areas, the hydrodynamic pressure was solved by the Reynolds equation, in the asperity contact areas ,the contact pressure was solved by the simplified Reynolds equation.A dis- crete convolution and fast Fourier transform （DC-FFT） method was used to calculate surface deformation.In order to accel- erate the iterative convergence speed, the progressive mesh densification （PMD） method was used in the numerical solving process.The numerical results show that this model can quickly solve different lubrication cases including full-film, mixed and boundary lubrication under the condition of smooth or rough surface.And as the entrainment speed is increased, the lu- brication state varying from the boundary to mixed lubrication, then to full-film lubrication appears a smooth transition process.