球面渐开线和圆锥齿轮齿形的动态显示与图形分析

 用计算机图学技术,实现了球面渐开线生成过程的动态显示和图解,有助于建立关于球面渐开线和圆锥齿轮齿形的清晰而准确的概念,并为解决内齿圆锥齿轮齿形加工问题提供了理论上的依据。球面渐开线齿形的四组特性算图,是设计圆锥齿轮时的有效工具 提出了一种新的圆锥齿轮背锥上理论齿形的精确算法,指出“当量圆柱齿轮”算法所带来的误差是不可忽略的。

DYNAMIC DISPLAY AND GRAPHICAL ANALYSIS FOR SPHERICAL INVOLUTE AND BEVEL GEAR PROFILE

Some results in the research of spherical involute and bevel gear profile with the aid of computer graphics technique are presented in this paper. Both dynamic display of the generating process of the spherical involute and panoramic view for the spherical involutes from different generating cones were realized on the colour graphic terminal .They are very helpful in the establishment of clear and exact concept of the spherical involute. Some mistakes were indicated. They also provide a theoretical basis for the machining of the internal bevel gear .Four nomographic charts of spherical involute, drawn with plotter, are also presented. They will serve as efficient tool for bevel gear design. Based on the graphical analysis, a new accurate method for calculating the theoretical teeth profile on the back cone was established. Data obtained from calculation showed that errors resulted from the so-called "equivalent spur gear" conventional method, can not be neglected.