A boundary element method (BEM) for the solution of lubrication problems on finite bearings is presented. The formulation requires the Reynolds equation to be transformed into a constant coefficient equation. Several film shapes that make the transformation possible are systematically obtained. Noticeably, they cover most practical cases. As an example of application, a numerical solution that only requires the discretization of the boundary is presented for a finite pad bearing.

中文翻译：

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边界元法解决润滑问题

提出了一种边界元方法（BEM），用于解决有限轴承的润滑问题。该公式要求将雷诺方程转换为常数系数方程。有系统地获得了几种可以实现转换的薄膜形状。值得注意的是，它们涵盖了大多数实际案例。作为一个应用示例，提出了仅需要边界离散化的数值解决方案，用于有限轴承。