文档介绍：Available online at hanism
and
Machine Theory
Mechanism and Machine Theory 43 (2008) 1158–1174
ate/mechmt
The study on the design of spiral bevel gear sets with
circular-arc contact paths and tooth profiles
Ying-Chien Tsai a,b,*, Wei-Yi Hsu b
a Department of Mechanical Engineering, Cheng Shiu University, 840 Chengcing Rd., Kaohsiung 833, Taiwan, ROC
b Department of Mechanical and Electro-Mechanical Engineering, National Sun Yat-Sen University, 70 Lianhai Rd.,
Kaohsiung 804, Taiwan, ROC
Received 19 January 2007; received in revised form 19 August 2007; accepted 30 August 2007
Available online 23 October 2007
Abstract
In this paper, the spiral bevel gear sets which can be manufactured by cup-shape grinder or milling cutter on a general
purpose four-axis milling machine is proposed. The general meshing constraint equation of bevel gear sets was first pre-
sented in our previous publication to be followed again as a continuation of designing and constructing solid model. In
order to derive the meshing constraint equation of bevel gear sets with point-contact characteristics, the degeneration con-
dition is set. Because of occurrence of just one contact point in each instant, there exists a contact path on each tooth sur-
face. After configuring the designed parameters, the contact path can be designed as an approximate to circular-arc curve.
Finally, the torus surface is used to construct the tooth surface. According to the idea described in this paper, a new
approach of manufacturing the spiral bevel gear is developed. The major merit of this spiral bevel gear is only single axis
motion has to be controlled during the cutting process.
Ó 2007 Elsevier Ltd. All rights reserved.
Keywords: Point-contact; Spiral bevel gear sets; Torus surface
1. Introduction
In the past, theories concerned with the kinematics analysis and synthesis of gear sets have been published
in numerous literature. In 1981, Huston and Coy [1,2] presented parametri