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

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 epicycloida...

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Bibliographic Details
Published in:Journal of Central South University 2015-06, Vol.22 (6), p.2119-2126
Main Authors: Wang, Jian, Luo, Shan-ming, Su, De-yu, Chang, Xue-feng
Format: Article
Language:English
Subjects:
Engineering
Metallic Materials
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Summary: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.
ISSN:2095-2899
2227-5223
DOI:10.1007/s11771-015-2736-y