文档介绍：Mechanism and Machine Theory 44 (2009) 1019–1031
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Mechanism and Machine Theory
journal homepage: ate/mechmt
Mathematical model of a stepped triple circular-arc gear
Shyue-Cheng Yang *
Department of Industrial Education and Technology, National Changhua University of Education, Jin-De Road, #1, Changhua City 500, Taiwan, ROC
article info abstract
Article history: An imaginary rack cutter with stepped triple circular-arc tooth profile is presented. The
Received 7 September 2007 concept of stepped triple circular-arc es from the standard Chinese double circu-
Received in revised form 30 April 2008 lar-arc tooth profile and involute tooth profile. Based on the proposed tooth, a mathemat-
Accepted 10 May 2008
ical model of the meshing principles of a gear meshed with a pinion is developed for an
Available online 18 July 2008
imaginary triple circular-arc teeth rack cutter. The developed geometric models of the pin-
ion and the gear are used to investigate the contact stress of stepped triple circular-arc
tooth via finite element analysis. A structural load is assumed to act on a pinion of the pro-
Keywords:
posed tooth. The goal of the current study is to investigate the von-Mises stress for one
Triple circular-arc gear
Imaginary rack cutter tooth contact pairs. Using the mathematical models developed, variation of the angular
velocity is investigated according to the obtained geometric modeling of the designed gear
meshing when assembly errors are present. The influence of misalignment on variation of
the angular velocity is also been investigated. As an example, a spur gear with a gear ratio
of 3:4 is presented.
Ó 2008 Elsevier Ltd. All rights reserved.
1. Introduction
Spur gear trains are very important mechanisms in power transmission. Most spur gear trains have involute teeth. An
involute tooth offers some advantage such as the usage of linear rack cutters that facilitate high production e