Abstract

In this paper we formulate and solve numerically the elastohydrodynamic problem about a heavy loaded contact of elastic bodies in the form of a profiled roller. Such contacts are typical for roller bearings and gears. The effect of the geometry of the inlet boundary of the lubricating film on the contact parameters (pressure, thickness of the lubricating film, and subsurface stresses distributions) is studied. A mathematical model of the problem is based on the stationary nonlinear integro-differential equations with boundary conditions for the pressure and on the inequalities. From numerical solutions it follows that the peculiarities of the geometry of the inlet boundary of a lubricating film cause significant qualitative and quantitative variations in distributions of pressure, thickness of the lubricating film in the contact zone, and octahedral stresses in the subsurface layer. It is shown that an increase in the number of irregularities of the inlet oil meniscus leads to an increase in the number of extremums of octahedral stresses.

中文翻译：

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润滑膜入口边界的几何形状对异型辊的弹性流体动力学接触的次表层的应力状态的影响

摘要

在本文中，我们制定并解决了有关异型辊形式的弹性体的重载荷接触的弹性流体力学问题。这种接触件通常用于滚动轴承和齿轮。研究了润滑膜入口边界的几何形状对接触参数（压力，润滑膜厚度和表面下应力分布）的影响。该问题的数学模型基于具有压力和不等式边界条件的平稳非线性积分微分方程。从数值解可以得出，润滑膜入口边界的几何形状的特殊性会导致压力分布，接触区域中润滑膜厚度的分布发生重大的定性和定量变化。和八面体应力在地下层。结果表明，进口油弯液面不规则度的增加导致八面体应力极值的增加。