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

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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.

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Authors and Affiliations

  1. School of Mechanical & Automotive Engineering, Xiamen University of Technology, Xiamen, 361024, China

    Jian Wang  (王建), Shan-ming Luo  (罗善明) & Xue-feng Chang  (常雪峰)

  2. Key Laboratory of Precision Actuation and Transmission of Fujian Province University, Xiamen, 361024, China

    Jian Wang  (王建), Shan-ming Luo  (罗善明), De-yu Su  (苏德瑜) & Xue-feng Chang  (常雪峰)

  3. School of Electromechanical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, China

    De-yu Su  (苏德瑜)

Authors
  1. Jian Wang  (王建)
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  2. Shan-ming Luo  (罗善明)
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  3. De-yu Su  (苏德瑜)
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  4. Xue-feng Chang  (常雪峰)
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Corresponding author

Correspondence to Shan-ming Luo  (罗善明).

Additional information

Foundation item: Projects(51205335, 51375411) supported by the National Natural Science Foundation of China; Projects(2013J01209, 2012J01237) supported by the Natural Science Foundation of Fujian Province, China; Project(2014H0049) supported by the Major S&T Program of Fujian Province, China; Project(E201400800) supported by the International Cooperation and Exchange Research Plan of Xiamen University of Technology, China; Project(YKJ14008R) supported by the Scientific Research for the High Level Talent of Xiamen University of Technology, China

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Wang, J., Luo, Sm., Su, Dy. et al. Geometric design and simulation of tooth profile using elliptical segments as its line of action. J. Cent. South Univ. 22, 2119–2126 (2015). https://doi.org/10.1007/s11771-015-2736-y

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  • DOI: https://doi.org/10.1007/s11771-015-2736-y

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