0
Technical Briefs

Tooth Profile Generation and Analysis of Crowned Elliptical Gears

[+] Author and Article Information
Biing-Wen Bair

Department of Mechanical Engineering, National United University, 1 Lienda, Miaoli, Taiwan 36003, R.O.C.

J. Mech. Des 131(7), 074503 (Jun 05, 2009) (6 pages) doi:10.1115/1.3125884 History: Received July 28, 2008; Revised March 08, 2009; Published June 05, 2009

This study develops a crowned elliptical gear drive that prevents edge contact when an elliptical gear drive has axial misalignment. According to the theory of gearing and a gear-generation mechanism with longitudinal crowing, the mathematical model of a crowned elliptical gear is derived using a rack cutter. Pointed teeth typically appear on the tips of the teeth of elliptical gears at major axis. Additionally, a three-dimensional geometric relation is applied to prevent pointed teeth from developing on elliptical gears. Moreover, a computer simulation program is employed to generate the tooth profiles of crowned elliptical gears without pointed teeth and locate the contact position for longitudinal middle tooth profiles. Two numerical examples demonstrate the design process and the tooth profile graphs.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Topics: Gears
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Normal section of a rack cutter Σp for generating the driving oval gear

Grahic Jump Location
Figure 2

Kinematic relationship between rack cutter and generated gear

Grahic Jump Location
Figure 3

Coordinate systems of a rack cutter Σp applying for longitudinal crowning (a) right-side tool and (b) left-side tool

Grahic Jump Location
Figure 4

Normal section of a rack cutter Σg for generating the driven oval gear

Grahic Jump Location
Figure 5

Coordinate systems of a rack cutter Σg applying for longitudinal crowning (a) right-side tool and (b) left-side tool

Grahic Jump Location
Figure 6

Computer graph of the driving crowned elliptical gear

Grahic Jump Location
Figure 7

Computer graph of the driven crowned elliptical gear

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In