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RESEARCH PAPERS: Power Transmission and Gearing

Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters

[+] Author and Article Information
Shinn-Liang Chang, Chung-Biau Tsay

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan 30050, R.O.C

J. Mech. Des 120(1), 92-99 (Mar 01, 1998) (8 pages) doi:10.1115/1.2826682 History: Received April 01, 1996; Online December 11, 2007

Abstract

Pitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechanism relationship and the equation of meshing, is proposed here to derive a complete mathematical model of noncircular gears manufactured with involute-shaped shaper-cutters. The proposed method is similar to the contact line method and the envelope method, but is easier to apply to the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Finally, modified elliptical gears are presented to illustrate the tooth profile generation when the proposed mathematical model is applied, and to investigate the phenomenon of tooth undercutting.

Copyright © 1998 by The American Society of Mechanical Engineers
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