交错轴圆柱端面齿盘共轭齿面的数值计算方法

Numerical Method on Offset Orthogonal Face-Gear Contour Computation

提出了一种简单且精确的端面齿盘齿面数值计算方法,可用简单的直线和平面曲面段变点的求取,来代替复杂的啮合方程、过渡曲线方程的推导和求解.该方法只需圆柱齿轮参数、偏置距和传动比,就可以同时完成共轭齿面和过渡曲面的精确计算,并得到圆柱齿轮和齿盘啮合的瞬时接触线.通过对瞬时接触线的图形显示和分析,该方法可以优化设计参数,将空间共轭曲面的求解转化为平面曲线的计算,无原理误差,且简明、易于实现.

A simple and accurate numerical method on orthogonal face-gear contour computation is proposed. Complicated deduction and solution of meshing equations are replaced by simply computing the point of intersection between a beeline and a plane curve in the method. With a given helical pinion, fixing offset, and the required transmission ratio, geometry of the mating horizontal gear can be computed accurately and the contact line between helical pinion and orthogonal face-gear can be obtained. The design parameter can be optimized through the analysis on 3D graphics of the contact line with 3D software.