A General Mathematical Model for Gears Cut by CNC Hobbing Machines

[+] Author and Article Information
Shinn-Liang Chang, Chung-Biau Tsay

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

Shigeyoshi Nagata

Department of Mechanical Engineering, Nippon Institute of Technology, Saitama 345, Japan

J. Mech. Des 119(1), 108-113 (Mar 01, 1997) (6 pages) doi:10.1115/1.2828771 History: Received May 01, 1996; Revised October 01, 1996; Online January 18, 2008


A hobbing machine’s cutting mechanism is a mechanism with multi-degree of freedom during the cutting process. In this paper, we propose a general gear mathematical model simulating the generation process of a 6-axis CNC hobbing machine based on the cutting mechanism of CNC hobbing machine and worm-type hob cutter. The proposed gear mathematical model can be applied to simulate different types of gear cutting. Some examples are included to verify the mathematical model. Also, a novel type of gear named “Helipoid” which can be used in crossed axes transmission is proposed. The proposed general gear mathematical model can facilitate a more thorough understanding of generation processes and toward the development of novel types of gears.

Copyright © 1997 by The American Society of Mechanical Engineers
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