Geometric modeling of single point cutting tool surfaces

In this paper we have established a new three-dimensional standard to specify single point cutting tool geometry. The paper models a single point cutting tool in terms of biparametric surface patches. Six new angles, called grinding angles, are proposed to define the orientation of these surface patches. Forward and inverse mappings among grinding angles (αi, βi,γi), conventional tool nomenclature (γy, γx, αy,αx, ... ), and setting or swivel angles for grinding (θA, θB, θC) are established. The benefits of the new paradigm include ease of finite element based engineering analysis, simulation, and programming of the CNC tool cutter and grinder for tool sharpening. The proposed methodology is illustrated with a few numerical examples.