Abstract

The influence of the curvature of cylindrical bodies on their elastic approach upon initial linear contact has been studied. It is shown that the approach of two circular cylinders depends on the sum of their radii of curvature, and does not depend on the radius of curvature of an individual cylinder. It is shown that despite the fact that the reduced radius of curvature at the meshing pole of the gears is greater than at the point of their engagement, the contact stiffness does not change, because the sum of the radii of curvature at these points is constant. Analytical equations in general form are obtained to determine the influence of curvature on the approach of elastic bodies upon initial contact along a line.

中文翻译：

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线性接触时接触体曲率对其弹性接近的影响

摘要

研究了圆柱体的曲率对其初始线性接触时的弹性接近的影响。结果表明，两个圆柱体的接近取决于它们的曲率半径之和，而不取决于单个圆柱体的曲率半径。结果表明，尽管齿轮啮合极点处的曲率半径减小值大于啮合点处的曲率半径，但接触刚度并未改变，因为这些点处的曲率半径之和是恒定的。获得一般形式的解析方程以确定曲率对弹性体沿直线初始接触时的接近的影响。