文档介绍：Mechanism and Machine Theory 44 (2009) 1306–1317
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Mechanism and Machine Theory
journal homepage: ate/mechmt
Tooth profile generation and analysis of oval gears with circular-arc teeth
Biing-Wen Bair a,*, Ming-Hung Sung b, Jean-Shyan Wang b, Chien-Fa Chen a
a Department of Mechanical Engineering, National United University, 1, Lienda, Miaoli 36003, Taiwan, ROC
b Department of Industrial Engineering and Technology Management, Dayeh University, 112, Shanjiao Road, Dacun, Changhua 51591, Taiwan, ROC
article info abstract
Article history: An oval gear drive, which is used in an oil pump with larger pumping volume, is generated
Received 12 June 2007 by using a rack cutter with circular-arc teeth. The generated oval gears have convex–con-
Received in revised form 11 May 2008 cave tooth profile contact. The mathematical models of oval gears with circular-arc teeth
Accepted 5 July 2008
are derived based on the theory of gearing and gear generation mechanism. Owing to its
Available online 19 August 2008
complex geometry, the pitch curves and tooth profiles of oval gears may exhibit convex–
concave centrodes and tooth undercutting, respectively. A rack cutter with circular-arc
teeth cannot be used to generate oval gears with convex–concave centrodes. Therefore,
Keywords:
curvature analysis is utilized to design oval centrodes with convex curves. The equation
Oval gears
Convex–concave tooth profile contact of singular point is utilized to analyze tooth undercutting. In addition, puter simula-
Curvature analysis tion program is developed to generate the tooth profiles of oval gears with circular-arc
Tooth undercutting teeth having convex centrodes and without tooth undercutting. Various numerical exam-
ples illustrate puterized design process.
Ó 2008 Elsevier Ltd. All rights reserved.
1. Introduction
Oval gears are a type of noncircular gears, whose rotation axis coincides with one focus of a second order