For mixed lubrication under point contact, a complete model is proposed including two modes of direct effects of surface roughness on the oil film thickness and rough solid contact characteristic. A new method to describe initial oil film thickness is established based on the effects of the holistic interface roughness. The real contact area of the interface is directly obtained by the sum of all solid nodes in a discrete grid, based on which, the solid contact characteristics are calculated by the fractal method considering the surface roughness. This fills the gap in mixed lubrication where the calculation of the solid part has no basis since solid contact force is unknown. The total load balance is taken as the convergence condition, and film thickness and pressure distribution of mixed lubrication are solved ultimately. The direct influences of fractal factors on lubrication characteristics are analyzed, and a comparison between the classical statistical method and the fractal method is conducted.

中文翻译：

---

表面分形特性点接触混合润滑耦合双模效应的完整确定性模型

对于点接触下的混合润滑，提出了一个完整的模型，包括表面粗糙度对油膜厚度和粗糙固体接触特性直接影响的两种模式。基于整体界面粗糙度的影响，建立了一种描述初始油膜厚度的新方法。通过离散网格中所有实体节点的总和直接得到界面的真实接触面积，在此基础上，考虑表面粗糙度的分形方法计算固体接触特性。这填补了混合润滑中由于固体接触力未知而固体部分的计算没有基础的空白。以总载荷平衡为收敛条件，最终求解混合润滑的油膜厚度和压力分布。分析了分形因素对润滑特性的直接影响，并对经典统计方法与分形方法进行了比较。