A Mathematical Model for the Generated Gear Tooth Surfaces of Spiral Bevel and Hypoid Gears

Abstract:

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It is an important and fundamental work to establish a general mathematical model for the gear tooth surfaces of spiral bevel and hypoid gears. Based on the three-axis CNC bevel gear machine, a mathematical model with the equations of the radial position vector, the normal unit vector and the second order parameters for the generated gear tooth surfaces of spiral bevel and hypoid gears is established. The mathematical model can be used for the gear tooth surfaces generated in different types on both the three-axis CNC bevel gear machine and the cradle bevel gear machine. As an application example of the mathematical model, the generating motions of the cradle bevel gear machine are determined.

Info:

Periodical:

Advanced Materials Research (Volumes 314-316)

Edited by:

Jian Gao

Pages:

384-388

DOI:

10.4028/www.scientific.net/AMR.314-316.384

Citation:

X. C. Wu et al., "A Mathematical Model for the Generated Gear Tooth Surfaces of Spiral Bevel and Hypoid Gears", Advanced Materials Research, Vols. 314-316, pp. 384-388, 2011

Online since:

August 2011

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Price:

$35.00

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