0
Technical Briefs

Tooth Surface Generation and Geometric Properties of Straight Noncircular Bevel Gears

[+] Author and Article Information
Lin Jing

School of Information, Mechanical and Electronic Engineering,  Shanghai Normal University, Shanghai 201418, P. R. C.

J. Mech. Des 134(8), 084503 (Jul 23, 2012) (6 pages) doi:10.1115/1.4006998 History: Received May 15, 2011; Accepted June 03, 2012; Published July 23, 2012; Online July 23, 2012

A general mathematical model is established to describe the geometries and geometric characteristics of tooth surfaces of straight noncircular bevel gears. One of the direction angles of the normal vector of the tooth surfaces is taken as a function of the angular position of its origin, called the direction angle function (DAF). The normal vector and DAF are introduced to characterize this model. The normal vector including its direction angles and modulus is solved first and then the corresponding tooth surfaces and their geometric properties, such as major curvatures and slide coefficients, could be generated and calculated directly, logically and systematically by using this model and defining various DAFs. This method is applicable to many types of straight noncircular bevel gears with different tooth surfaces including tooth surfaces cut by the crown rack cutter or others. In addition, by using this method, it is relatively easy to realize the desired geometrical and mechanical properties into the design.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 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

Tooth surface in Sm

Grahic Jump Location
Figure 2

Transformation from Sm to S

Grahic Jump Location
Figure 3

Angular velocity vectors of bevel gears

Grahic Jump Location
Figure 5

Bevel gear cut by crown rack cutter

Grahic Jump Location
Figure 6

Geometric properties of elliptical bevel gear cut by crown rack cutter

Grahic Jump Location
Figure 7

Elliptical bevel gears with polynomial DAFs

Grahic Jump Location
Figure 8

Maximum curvatures with polynomial DAFs

Grahic Jump Location
Figure 9

Slide coefficients with polynomial DAFs

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