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Research Papers

Study on the Anti-Twist Helical Gear Tooth Flank With Longitudinal Tooth Crowning

[+] Author and Article Information
Van-The Tran

Department of Mechanical and
Computer-Aided Engineering,
Feng Chia University,
100 Wenhwa Road, Seatwen,
Taichung 40724, Taiwan
e-mail: vanct4.hut@gmail.com

Ruei-Hung Hsu

Assistant Professor
Department of Mechanical and
Computer-Aided Engineering,
Feng Chia University,
100 Wenhwa Road, Seatwen,
Taichung 40724, Taiwan
e-mail: rhhsu@fcuoa.fcu.edu.tw

Chung-Biau Tsay

Professor
Department of Mechanical and
Computer-Aided Engineering,
Feng Chia University,
100 Wenhwa Road, Seatwen,
Taichung 40724, Taiwan
e-mail: cbtsay@mail.nctu.edu.tw

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received September 8, 2013; final manuscript received February 27, 2014; published online April 17, 2014. Assoc. Editor: Zhang-Hua Fong.

J. Mech. Des 136(6), 061007 (Apr 17, 2014) (10 pages) Paper No: MD-13-1399; doi: 10.1115/1.4027166 History: Received September 08, 2013; Revised February 27, 2014

To attain an anti-twist helical gear tooth flank with longitudinal tooth crowning, a novel additional rotation angle is proposed for the work gear during its hobbing process. A congruous nonlinear function with two variables is proposed and supplemented to this additional rotation angle of work gear. Two numeral examples are presented to illustrate the effects of coefficients of the proposed nonlinear function on the twist and evenness of generated helical gear tooth flanks. The twist of the crowned helical tooth flank is reduced significantly by applying the proposed longitudinal crowning gear method.

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References

Figures

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Fig. 1

Surface parameters of the standard rack cutter

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Fig. 2

Coordinate systems for the schematic generation mechanism of standard involute helical gear

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Fig. 3

Definition of axes on a gear hobbing machine of SIEMENS

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Fig. 4

Coordinate systems for the hobbing of work gear with longitudinal crowning teeth

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Fig. 5

Flow chart for determination of coefficients of the proposed additional rotation angle function

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Fig. 6

Normal deviation of the tooth flank position vector

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Fig. 7

Simulated topography of crowned work gear surfaces generated with original formula

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Fig. 8

Simulated topography of crowned work gear surfaces generated with the additional rotation angle function

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Fig. 9

Simulated topography of crowned work gear surfaces generated with modified additional rotation angle function

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Fig. 12

Simulated topography of crowned work gear surfaces generated with modified additional rotation angle function and an increment of coefficient aφ1za=1×10-6

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Fig. 11

Simulated topography of crowned work gear surfaces generated with modified additional rotation angle function and an increment of coefficient aφ1=1×10-6

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Fig. 10

Simulated topography of crowned work gear surfaces generated with modified additional rotation angle function and an increment of coefficient aza=1×10-6

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