Design Innovation Paper

A Generalized Hypoid Gear Synthesized With Common Crown Rack Positioned Between Pinion and Gear Blanks

[+] Author and Article Information
Nogill Park

Department of Mechanical Engineering,
Pusan National University,
2 Busandaehak-ro 63 beon-gil,
Busan 46241, South Korea
e-mail: parkng@pnu.edu

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received September 19, 2016; final manuscript received April 11, 2017; published online June 14, 2017. Assoc. Editor: Hai Xu.

J. Mech. Des 139(8), 085001 (Jun 14, 2017) (9 pages) Paper No: MD-16-1651; doi: 10.1115/1.4036779 History: Received September 19, 2016; Revised April 11, 2017

A new hypoid gearing using a common crown rack is introduced. The proposed hypoid gear has no unloaded gear transmission error. The common crown rack is located at a neutral position between the pinion and gear blanks. An arbitrary generating surface inclined at a pressure angle is prescribed. The proposed hypoid gearing is in point contact, fulfilling a constant speed ratio along the curved line of action. The synthesis feasibility is numerically verified for the entire range of hypoid gears, including parallel-, intersecting-, and crossed-axis gear systems. The proposed hypoid gear is compared with the hypoid gear by Gleason method and the differences between the two are discussed.

Copyright © 2017 by ASME
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Fig. 1

Generalized hypoid gear set and its system parameters

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Fig. 2

Crown rack and pitch coordinate system at pitch point: (a) crown rack and gear blanks and (b) pitch coordinate system at pitch point

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Fig. 3

Imaginary common crown rack for the generalized hypoid gear set

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Fig. 4

Pinion tooth surface generated by the common crown rack

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Fig. 5

Gear tooth surface generated by the common crown rack

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Fig. 6

Classification of hypoid gear system: (a) hypoid angle and (b) classification of hypoid gears

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Fig. 7

Solid models of A-group from bevel to crossed helical gear (worm)

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Fig. 8

Solid models of B-group from hypoid gear to spur gear




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