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

Xun Cheng Wu; Jing Tao Han; Jia Fu Wang

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

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 314-316A Mathematical Model for the Generated Gear Tooth...

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

Abstract:

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.

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Advanced Manufacturing Technology, ADME 2011

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Periodical:

Advanced Materials Research (Volumes 314-316)

Pages:

384-388

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.314-316.384

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Online since:

August 2011

Authors:

Xun Cheng Wu, Jing Tao Han, Jia Fu Wang

Keywords:

Generated Gear, Hypoid Gear, Mathematical Models, Spiral Bevel Gea, Tooth Surface

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