Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T22:36:40.753Z Has data issue: false hasContentIssue false
  • English
  • Français

Deflection Form Factors of Worm and Worm Gear

Published online by Cambridge University Press:  05 May 2011

M. Y. Chung  and
D. Shaw
M. Y. Chung*
Affiliation:
Department of Power Mechanical Engineering, National Tsing-Hua University, Hsin Chu, Taiwan 30013, R.O.C.
D. Shaw*
Affiliation:
Department of Power Mechanical Engineering, National Tsing-Hua University, Hsin Chu, Taiwan 30013, R.O.C.
*
*Graduate student
**Professor
Get access

Abstract

In this study, a simplified method for evaluating amount of deflection for the tooth of worm and worm gear under loading is proposed. In a previous study, the plate theory was used for the approximation. However, it was found that the deflection of gear tooth using the plate theory was far from the actual value, and that the values from 3D FE analyses were closer to the actual value than from the plate theory. However, the FE analysis process starting from the CAD model to the final analysis results is complicated and too time-consuming. Therefore, the form factors are needed to facilitate simple but accurate results for the design purpose. In this study, the equations of form factors obtained from the results of plate theory and the 3D FEM, are developed. Since the worm gear assembly has various tooth geometries, the moment of inertia and the deflection of tooth geometry are different. Therefore, tooth geometries with trapezoid and involute forms are investigated.

Keywords

Form factorPlate theoryWorm and worm Gear
Type
Articles
Information
Journal of Mechanics , Volume 22 , Issue 4 , December 2006 , pp. 281 - 288
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Shaw, D. I. and Chung, M. Y., “The Effect of Loading Induced Deflection on Precision Positioning of Worm Gear Assembly,” The 26th Conference on Theoretical and Applied Mechanics, Taiwan, R.O.C. (2002).Google Scholar
2.Black, P. H. and Adams, O. E. Jr., Machine Design, 2nd Ed., McGraw-Hill, New York, USA (1955).Google Scholar
3.Sugita, Minoru and Lai, D. Y., Practical Gear Design Methods, 2nd Ed., Fu-Wen Book Co., Taipei, Taiwan (1979).Google Scholar
4.Oguri, F., Design Handbook of Charts and Standards for Mechanical Engineers, 8th Ed., Tai-Lung Book Co., Taipei, Taiwan (1982).Google Scholar
5.Shigley, J. E. and Mischke, C. R., Mechanical Engineering Design, 5th Ed., McGraw-Hill, New York, USA (1989).Google Scholar
6.Spotts, M. F., Design of Machine Elements, 5th Ed., McGraw-Hill, New York, USA (1978).Google Scholar
7.Shen, S. W., Design and Manufacturing of Gears, 1st Ed., Hsu Foundation Publisher, Taipei, Taiwan (1982).Google Scholar
8. Japan Gear Manufacturer Association, JGMA301–01 Basic Contact Patterns of Gears and Their Inspection Methods (1971).Google Scholar