本文在第一次包络的基础上，着重进行了二次包络齿面接触分析，推导出了蜗杆和蜗轮齿面方程。
On the basis of the first envelope, the paper stresses on the tooth contact analysis of the second envelope, and the equations of a worm and a wormwheel flanks are derived.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
利用轮齿接触分析与齿轮啮合原理，建立了齿面均匀研磨与定点研磨控制的几何运动模型，经滚检检验，该模型能对齿面研磨位置与侧隙进行较准确的控制。
The rolling tests prove that this setup model can control precisely the displacement of the lapped area in the tooth surface and keep the even backlash.
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