差曲面及其在螺旋锥齿轮拓扑误差评定中的应用

Difference Surface and Application on Topography Deviation Characterization of the Spiral Bevel Gear

差曲面是一种拓扑曲面,是研究接触问题的重要工具。文章阐述了差曲面的定义、差曲面各阶参数(零阶,一阶,二阶参数)的意义,并且从数学上获取了各阶参数的完整的表达式。用各阶参数解释和评定了螺旋锥齿轮的拓扑误差,最后用具体的例子介绍了差曲面在螺旋锥齿轮中的应用。

Difference surface is a topography surface,which is an important tool of studying touch problems. Thc definition of the difference surface and the meaning of every order parameters（including the 0th,the 1 st,and the 2^nd order ） is discussed in the papers, In addition, the complete parameters for three global form deviations have bcen derived mathematically. The topograghy deviations of the spiral bevel gears are explained and characterized with every parameters of the difference surface. Finally, the application of spiral bevel gears on difference surface is introduced in detailed examples.