Geometric design and simulation of tooth profile using elliptical segments as its line of action

WANG Jian(王建)^{1, 2}, LUO Shan-ming(罗善明)^{1, 2}, SU De-yu(苏德瑜)^{2, 3}, CHANG Xue-feng(常雪峰)^{1, 2}

(1. School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen 361024, China;
2. Key Laboratory of Precision Actuation and Transmission of Fujian Province University, Xiamen 361024, China;
3. School of Electromechanical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China)

Abstract:A mathematical model of gear tooth profiles using the ellipse curve, whose curvature is convenient to control by changing the mathematical parameters as its line of action, was built based on the meshing theory. The equation of undercutting condition was derived from the model. A special epicycloidal tooth profile was also presented. An example gear drive with variation of the ellipse parameters was taken to illustrate the proposed method. The contact ratio of the gear drive designed by the proposed method was analyzed. A comparison of the property of the gear drive designed with the involute gear drive was also carried out. The results confirm that the proposed gear drive has higher contact ratio in comparison with the involute gear drive.

Key words:gear transmission; tooth profile; elliptical segment; epicycloidal; contact ratio