Definition of Involute Spur Gear Profiles Generated by Gear-Type Shaper Cutters

Abstract

Based on gear geometry and generating mechanism with gear-type shapers, this paper studies the computerized tooth profile generation of involute gears. Generating and generated surfaces are obtained by using vector analysis, differential geometry, matrix transformation, and meshing equation. Trochoidal envelope traced by the cutter during generating process is also investigated. This study also develops a computer program for generation of external and internal tooth profiles. Simulated motion path of the cutter during generation process is also illustrated. Using the given method, designers can create and observe geometry simulation. The effect of tool settings on the generated profile can easily be investigated before manufacturing.