New algorithm for variable speed gear generation process

Abstract

The paper is focused on the generation process of a particular type of noncircular gears, i.e. the variable speed gears. A curiosity in the old gear industry, the noncircular gears have become a challenge and an opportunity for the computer graphics and technology. In the attempt of generalizing the gear generation process, the Gielis supershape is proposed for the gear pitch curve. Limited to proper variation ranges, the supershape defining parameters generate symmetric-asymmetric, convex-concave, close-open pitch curves. Based on the rolling method, using either a rack cutter or a shaper, the further gear generation is simulated in AutoCAD environment, importing Matlab data. Original algorithms are created to configure the main stages of the variable speed gear generation process: (1) the pitch curve modeling and analysis, (2) the selection of the proper cutting tool and kinematics, (3) the simulation of the tooth generation.