中文摘要：

研究了四轴数控螺旋锥齿轮铣齿机的运动规律，建立了铣齿机加工坐标系。基于空间坐标变换，分析了由传统铣齿机调整参数转化为四轴数控铣齿机调整参数的原理并提出了实现方法。参照传统的变性法加工原理，推导出工件与摇台间变性法展成运动的滚比变化关系。这样，在四轴数控铣齿机上可以实现变性法加工准双曲面齿轮。

英文摘要：

This paper studied 4--axis CNC spiral bevel gear machine movement rules, and set up machine machining coordinates. Based on space coordinate transform, the paper deduced the principle with which conventional machine parameters can be translated into CNC machine. Referring to traditional modified--roll theory, this study gains the transmission relation between machine cradle and workpiece. Thus, using modified --roll method, 4--axis CNC spiral bevel gear machine can manufacture hypoid gear.