Determination of Principal Curvatures and Contact Ellipse for Profile Crowned Helical Gears-Reference-Cited by-同舟云学术

Determination of Principal Curvatures and Contact Ellipse for Profile Crowned Helical Gears

Published:1999-03-01 Issue:1 Volume:121 Page:107-111
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Feng P.-H.¹,Litvin F. L¹,Townsend D. P.²,Handschuh R. F.²

Affiliation:

1. Gear Research Laboratory, University of Illinois at Chicago, Chicago

2. NASA Lewis Research Center, Cleveland, Ohio

Abstract

Helical gears with localized bearing contact of tooth surfaces achieved by profile crowning of tooth surfaces are considered. Profile crowning is provided by application of two imaginary rack-cutters with mismatched surfaces. The goal is to determine the dimensions and orientation of the instantaneous contact ellipse that requires the determination of principle curvatures of pinion-gear tooth surfaces. A simplified solution to this problem is proposed based on the approach developed in [1, 2] for correlation of principal curvatures and directions of generating and generated tooth surfaces. The obtained equations are applied for profile crowning where the normal profiles of the rack-cutters are either a circular arc or a straight line.

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/121/1/107/5797247/107_1.pdf

Reference4 articles.

1. Litvin, F. L., Theory of Gearing, NASA RP-1212 (AVSCOM 88-C-035), Washington, D.C., 1989.

2. Litvin, F. L., Gear Geometry and Applied Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1994.

3. Litvin, F. L., and Lu, J., “Computerized Design and Generation of Low-Noise Double Circular-Arc Helical Gears with Low Transmission Errors, Computer Methods in Applied Mechanics and Engineering,” Vol. 127, No. 1–4, Nov. 1995, pp. 57–86.

4. Litvin F. L. , ChenN. X., LuJ., and HandschuhR. F., “Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 117, No. 2, June 1995, pp. 254–261.

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