Mathematical Model of the Generated Gear Tooth Surfaces for the Function-oriented Design of Point-contact Tooth Surfaces of Spiral Bevel and Hypoid Gears

Author

Xuncheng, Wu

Author_Institution

Coll. of Automotive Eng., Shanghai Univ. of Eng. Sci., Shanghai, China

Volume

2

fYear

2011

fDate

6-7 Jan. 2011

Firstpage

504

Lastpage

508

Abstract

A general mathematical model for the generated gear tooth surfaces of spiral bevel and hypoid gears is established based on the three-axis CNC bevel gear machine. According to the principle and the method for the function-oriented design of point-contact tooth surfaces, the locus of spatial tooth contact points on the tooth surface is described on the axial plane of the gear, and then the detailed formulae for the design with the generated gear are derived from the mathematical model. The mathematical model and the formulae can be used in the function-oriented design of point-contact tooth surfaces of spiral bevel and hypoid gears with the gear generated in different types on both the three-axis CNC bevel gear machine and the conventional cradle one.

Keywords

gears; mathematical analysis; function-oriented design; gear axial plane; generated gear tooth surface; hypoid gear; mathematical model; point-contact tooth surface; spatial tooth contact point; spiral bevel; three-axis CNC bevel gear machine; Computer numerical control; Gears; Mathematical model; Mechanical engineering; Spirals; Teeth; Function-oriented Design; Generated Gear; Hypoid Gear; Point-contact Tooth Surface; Spiral Bevel Gear;

fLanguage

English

Publisher

ieee

Conference_Titel

Measuring Technology and Mechatronics Automation (ICMTMA), 2011 Third International Conference on

Conference_Location

Shangshai

Print_ISBN

978-1-4244-9010-3

Type

conf

DOI

10.1109/ICMTMA.2011.413

Filename

5721231