Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured With Shaper Cutters-Reference-Cited by-同舟云学术

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

Published:1998-03-01 Issue:1 Volume:120 Page:92-99
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Chang Shinn-Liang¹,Tsay Chung-Biau¹

Affiliation:

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

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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/120/1/92/5920964/92_1.pdf

Reference18 articles.

1. Anonymous, August, 1972, “Elliptical Gears are Back and More Versatile than Ever,” Product Engineering, pp. 34–38.

2. Bernett, T., June, 1967, “Elliptical Gears for Irregular Motion,” Mechanical Engineering, pp. 33–39.

3. Chakraborty, J., and Dhande, S. G., 1977, Kinematics and Geometry of Planar and Spatial Cam Mechanisms, Wiley Eastern Limited, New Delhi.

4. Chang, S. L., 1992, “Design of the Involute Elliptical Gears,” Master’s Thesis, National Tsing Hua University, Taiwan.

5. Chang S. L. , and TsayC. B., 1995, “Mathematical Model of the Elliptical Gear Generated by Shapers,” Journal of the Chinese Society of Mechanical Engineers, Vol. 16, pp. 415–423.

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