# Profile analysis for a gear with conical teeth

Hsueh Cheng Yang, Tsun Hui Huang

Research output: Contribution to journalArticle

### Abstract

This paper presents a gear pair mechanism, a pinion, and a gear with conical teeth. The gear, or generating surface, has conical teeth distributed on a cylindrical surface. The purpose here was to present a mathematical model and equation for meshing of the proposed gear with conical teeth. A simple method using gear theory was used to determine a generated surface that meshes with the generating surface. The mathematical model of the generated surface can be obtained by the envelope of the family of the generating surfaces. As an example, the proposed gear pair for a gear ratio of 4:3 was demonstrated through the aid of the proposed mathematical model. Based on the geometrical models presented, the author varied the conical angle of the proposed gear between 0 and 20° and examined their contact stresses and deformation. Results showed that the minimum von-Mises stress was at the conical angle of 15° and the minimum deformation was at the conical angle of 17°. If the given parameters are over the dimensional limit of the generating surface, the equation of meshing of generated surface cannot exist. The condition of the dimensional limit was determined in this paper. Results from these mathematical models should have applications in the design of gear mechanism.

Original language English 1081-1089 9 Journal of Testing and Evaluation 45 3 https://doi.org/10.1520/JTE20150245 Published - 2016 Jan 1

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Gear teeth
Gears
Mathematical models

### All Science Journal Classification (ASJC) codes

• Materials Science(all)
• Mechanics of Materials
• Mechanical Engineering

### Cite this

Yang, Hsueh Cheng ; Huang, Tsun Hui. / Profile analysis for a gear with conical teeth. In: Journal of Testing and Evaluation. 2016 ; Vol. 45, No. 3. pp. 1081-1089.
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Profile analysis for a gear with conical teeth. / Yang, Hsueh Cheng; Huang, Tsun Hui.

In: Journal of Testing and Evaluation, Vol. 45, No. 3, 01.01.2016, p. 1081-1089.

Research output: Contribution to journalArticle

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