关于椭圆接触弹流润滑Hamrock-Dowson膜厚公式的再思考

使用常用的Hamrock-Dowson公式计算椭圆点接触中心油膜厚度时发现：当维持接触区中心赫兹压力为常数，增加椭圆比ke超过一定值时，得到的中心膜厚不升反降，这与其物理本质相悖. 应用有限单元法重新对等温椭圆接触弹流润滑问题进行了数值计算，提出新的表征椭圆接触的综合几何参数. 在较大的速度和载荷范围内下，依据数值计算结果，拟合出修正端泄因子和修正中心膜厚公式. 修正公式与数值计算结果相吻合，且正确地表达了膜厚与椭圆比的关系.

When calculating the central oil film thickness of elliptical point contacts via the well-established Hamrock-Dowson formula, an anomalous phenomenon was observed: when the central Hertzian pressure within the contact zone is held constant, increasing the elliptical ratio ke beyond a critical threshold results in a reduction of the central film thickness instead of an elevation, which conflicts with the underlying physical principles. We employed the finite element method (FEM) to re-perform numerical simulations of the isothermal elliptical contact elastohydrodynamic lubrication (EHL) problem, and introduced a novel comprehensive geometric parameter for characterizing such elliptical contacts. Within a broad range of operating speeds and loads, we fitted the modified side leakage factor and the modified central film thickness formula based on the outcomes of these numerical simulations. The modified formulas exhibit excellent agreement with the numerical results, and accurately describe the relationship between the film thickness and the elliptical ratio.

搜集汇总

背景与挑战

背景概述

该数据集研究了椭圆接触弹流润滑中Hamrock-Dowson膜厚公式的局限性，通过有限单元法提出新的几何参数和修正公式，解决了原公式在特定条件下膜厚计算不准确的问题。数据集包含数值计算结果和修正公式，适用于摩擦学领域的研究。