A General Mathematical Model for Gears Cut by CNC Hobbing Machines-Reference-Cited by-同舟云学术

A General Mathematical Model for Gears Cut by CNC Hobbing Machines

Published:1997-03-01 Issue:1 Volume:119 Page:108-113
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Chang Shinn-Liang¹,Tsay Chung-Biau¹,Nagata Shigeyoshi²

Affiliation:

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

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

Abstract

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.

Publisher

ASME International

Subject

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

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/119/1/108/5527752/108_1.pdf

Reference10 articles.

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3. Chang, S. L., Tsay, C. B., and Wu, L. I., 1995, “Mathematical Model and Undercutting Analysis of Elliptical Gears Generated by Rack Cutters,” 9th World Congress on the Theory of Machines and Mechanisms, Milano, Italy, pp. 600–604.

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