Bearing contact of a helical gear pair with involute teeth pinion and modified circular-arc teeth gear-Reference-Cited by-同舟云学术

Bearing contact of a helical gear pair with involute teeth pinion and modified circular-arc teeth gear

Published:2001-10-01 Issue:10 Volume:215 Page:1175-1187
ISSN:0954-4062
Container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Author:

Chen Y-C¹,Tsay C-B¹

Affiliation:

1. National Chiao Tung University Department of Mechanical Engineering Hsinchu, Taiwan

Abstract

This paper investigates the contact ellipse of a helical gear set, composed of an involute pinion and a modified circular-arc gear based on curvature analysis. This gear drive exhibits point contact and parabolic transmission error due to the double crowning effect of the gear, i.e. crowning in both profile and longitudinal directions. The principal directions and curvatures of the generating tool surfaces were derived by means of differential geometry and Rodrigues’ equation. The principal directions and curvatures of the pinion and gear surfaces were obtained directly from the generating surfaces. Finally, the determination of the contact ellipses of the mating tooth surfaces was achieved. Numerical examples are also provided to demonstrate the computational results.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/095440620121500104

Reference19 articles.

1. Computerized determination of curvature relations and contact ellipse for conjugate surfaces

2. Die Beziehungen zwischen den Krümmungen der Zahnoberflächen bei räumlichen Verzahnungen

3. A Method of Local Synthesis of Gears Grounded on the Connections Between the Principal and Geodetic Curvatures of Surfaces

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