A Mathematical Model for Drill Point Design and Grinding

The performance of a drill is affected by the geometry of its point. The available mathematical representations of drill point geometry are inadequate to describe the variation of the drill point design. This paper develops a comprehensive mathematical model that describes the drill point geometry including the conical, the hyperboloidal, and the ellipsoidal drills. The model developed also enables one to precisely predict and control the drill point geometry and the process of grinding.