A Mathematical Model for the Tooth Geometry of Circular-Cut Spiral Bevel Gears

Author:

Fong Z. H.1,Tsay Chung-Biau1

Affiliation:

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

Abstract

A complete tooth geometry of the circular-cut spiral bevel gears has been mathematically modeled. The mathematical model has been divided into several independent modules, each representing an individual kinematic relation or tool-setting, with examples included. A comparison with the spiraloid model has also been made in this paper. The mathematical model can be applied to simulate and calculate the tooth profiles for the Duplex Method, Helical Duplex Method, Formate Method, and Modified Roll Method for circular-cut spiral bevel gears. It can also be applied to the computer numerical controlled (CNC) machining, computer-aided finite element stress analysis, and tooth contact analysis (TCA) for the spiral bevel gear.

Publisher

ASME International

Subject

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

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3. Investigation on the generation of bevel gear by disk tool with curved tooth surface of trapezoidal tooth profile;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2022-04-17

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