Technical Brief

Generation of Noncircular Bevel Gears With Free-Form Tooth Profile and Curvilinear Tooth Lengthwise

[+] Author and Article Information
Fangyan Zheng

School of Automotive Engineering,
Hubei Key Laboratory of Advanced Technology
of Automotive Components,
Wuhan University of Technology,
Wuhan 430070, China
e-mail: 382280761@qq.com

Lin Hua

School of Automotive Engineering,
Hubei Key Laboratory of Advanced Technology
of Automotive Components,
Wuhan University of Technology,
Wuhan 430070, China
e-mail: hualin@whut.edu.cn

Xinghui Han

School of Automotive Engineering,
Hubei Key Laboratory of Advanced Technology
of Automotive Components,
Wuhan University of Technology,
Wuhan 430070, China
e-mail: hanxinghuihlp@126.com

Dingfang Chen

School of Logistics Engineering,
Wuhan University of Technology,
Wuhan 430063, China
e-mail: cadcs@126.com

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received November 24, 2015; final manuscript received April 10, 2016; published online April 27, 2016. Assoc. Editor: Qi Fan.

J. Mech. Des 138(6), 064501 (Apr 27, 2016) (7 pages) Paper No: MD-15-1780; doi: 10.1115/1.4033396 History: Received November 24, 2015; Revised April 10, 2016

Noncircular bevel gear is applied to intersecting axes, realizing given function of transmission ratio. Currently, researches are focused mainly on gear with involute tooth profile and straight tooth lengthwise, while that with free-form tooth profile and curvilinear tooth lengthwise are seldom touched upon. Based on screw theory and equal arc-length mapping method, this paper proposes a generally applicable generating method for noncircular bevel gear with free-form tooth profile and curvilinear tooth lengthwise, covering instant screw axis, conjugate pitch surface, as well as the generator with free-form tooth profile and curvilinear tooth lengthwise. Further, the correctness of the proposed method is verified through illustrations of computerized design.

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Grahic Jump Location
Fig. 1

Coordinate systems for noncircular bevel gear drive

Grahic Jump Location
Fig. 2

Pitch surfaces with 90 deg (a) and 45 deg (b) shaft angle

Grahic Jump Location
Fig. 3

The screw of generator

Grahic Jump Location
Fig. 4

Coordinate systems for the movable-axis generator

Grahic Jump Location
Fig. 5

Conjugate pitch surfaces and their movable-axis generators

Grahic Jump Location
Fig. 9

Noncircular bevel gears with cosine tooth profile and helix tooth lengthwise (a), asymmetric involute tooth profile and circular-arc tooth lengthwise (b), cosine tooth profile and sine tooth lengthwise (c), and standard involute tooth profile and straight tooth lengthwise (d)



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