Design and Generation of Noncircular Gears with Convex-Concave Pitch Curves

Abstract

The paper introduces a general procedure for noncircular gear design and generation, based on Gielis’ supershape,as the gear pitch curve, and on the simulation of the gear cutting process, using rolling method. The procedure algorithm consists of the supershape geometry analysis, to identify and separate convex curves from convex-concave ones, the selection of the proper tools reccomended for “gear cutting process”, the limitation of the pitch curve geometry variation, in order to avoid undercutting, and the simulation of rolling. As convex noncircular gear generation was developed in a previous paper, the study is now focused on the convex-concave gear virtual cutting, using a standard shaper cutter and the process’ specific kinematics.