Optimized Bearing Ellipses of Hypoid Gears1-Reference-Cited by-同舟云学术

Optimized Bearing Ellipses of Hypoid Gears1

Published:2003-12-01 Issue:4 Volume:125 Page:739-745
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Achtmann J.¹,Ba¨r G.¹

Affiliation:

1. Dresden University of Technology, Institute of Geometry, D-01062 Dresden, Germany

Abstract

For given machine tool settings of a universal hypoid gear generator, the tooth contact patterns are computed for the coast and drive side of a hypoid gear drive. Each contact pattern is replaced by a determined tooth-bearing ellipse. The position, shape, and inclination of each bearing ellipse is calculated. By the help of these data, an influence function is designed that describes the influence of supplemental kinematic flank correction motions (modified motions) on the gear-tooth contact. Examples show the influence of helical motion and modified roll. An evaluation function permits the calculation of modified motions which improve the tooth contact either at coast and drive side simultaneously, or only at one of the sides. For a given pair of start-bearing ellipses at coast and drive side, and for given importance weights to the sides, we describe how modified motions can be computed that best fit a given target pair of bearing ellipses.

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/125/4/739/5561283/739_1.pdf

Reference15 articles.

1. Fong, Z.-H. , 2000, “Mathematical Model of Universal Hypoid Generator With Supplemental Kinematic Flank Correction Motions,” ASME J. Mech. Des., 122, pp. 136–142.

2. Ba¨r, G., and Iotchev, V., 1999, “Accurate Tooth Contact Determination for Hypoid Bevel Gears using Automatic Differentiation,” 4th World Congress on Gearing and Power Transmission, M.C.I. Paris, Vol. 1, pp. 519–529.

3. Hu¨necke, C., 2001, “Manual ARCOTEC,” SU-Hurth-Modul GmbH, Chemnitz.

4. Hutschenreiter, U., 1996, “A New Method for Bevel Gear Tooth Flank Computation,” Proc. 2nd. Int. Workshop on Comput. Differentiation, Santa Fe (N.M.), Feb. 12–14.

5. Litvin, F. L., De Donno, M., Peng, A., Vorontsov, A., and Handschuh, R. F., 2000, “Integrated Computer Program for Simulation of Meshing and Contact of Gear Drives,” Comput. Methods Appl. Mech. Eng., 181, pp. 71–85.

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