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Research Papers

Tooth Contact Analysis of Longitudinal Cycloidal-Crowned Helical Gears With Circular Arc Teeth

[+] Author and Article Information
Wei-Shiang Wang

Department of Mechanical Engineering, National Chung-Cheng University, No. 168 University Road, Min-Hsiung, Chia-Yi, Taiwan 62102, R.O.C.ilusaex@hotmail.com

Zhang-Hua Fong1

Department of Mechanical Engineering, National Chung-Cheng University, No. 168 University Road, Min-Hsiung, Chia-Yi, Taiwan 62102, R.O.C.imezhf@ccu.edu.tw

1

Corresponding author.

J. Mech. Des 132(3), 031008 (Mar 22, 2010) (9 pages) doi:10.1115/1.4001214 History: Received August 06, 2009; Revised November 26, 2009; Published March 22, 2010; Online March 22, 2010

This paper proposes a new type of double-crowned helical gear that can be continuously cut on a modern Cartesian-type hypoid generator with two face-hobbing head cutters and circular-arc cutter blades. The gear tooth flank is double crowned with a cycloidal curve in the longitudinal direction and a circular arc in the profile direction. To gauge the sensitivity of the transmission errors and contact patterns resulting from various assembly errors, this paper applies a tooth contact analysis technique and presents several numerical examples that show the benefit of the proposed double-crowned helical gear set. In contrast to a conventional helical involute gear, the tooth bearing and transmission error of the proposed gear set are both controllable and insensitive to gear-set assembly error.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Normal section of the cutter blade

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Figure 2

Coordinate systems for the head cutter

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Figure 3

Generation of a dual cutter cycloid

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Figure 4

Generating process using two cutter heads and an imaginary generating circular-arc rack: double-convex helical gear

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Figure 5

Generating process using two cutter heads and an imaginary generating circular-arc rack: double-convex helical gear

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Figure 6

Simulation of the gear meshing with assembly errors

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Figure 7

Tooth surfaces of the longitudinal cycloidal helical gears produced by dual cutter heads

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Figure 8

Transmission errors for the ideal assembly condition and misaligned gear drives using the alignment errors Δη, Δφ, ΔL, and ΔE

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Figure 9

Bearing contact of the proposed double-crowned gear set under various assembly conditions

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Figure 10

The TCA results for the involute helical gear set given various assembly errors

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