In this work, we formulate firstly the parametric equation of the cutting edge, whose trajectory equation relative to the workpiece is then generated through a series of coordinate transformations.

• 本文应用微分几何理论建立了任意轮廓铣刀切削刃刃线的参数方程，并在此基础上利用空间坐标变换方法建立了任意轮廓铣刀切削刃上任意点与工件相对运动的轨迹方程。