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Research Papers

The Equal Bending Strength Design of Space Curve Meshing Wheel

[+] Author and Article Information
Yang-zhi Chen

School of Mechanical
and Automotive Engineering,
South China University of Technology,
Guangzhou 510640, China
e-mail: meyzchen@scut.edu.cn

Shun-ke Liang

School of Mechanical
and Automotive Engineering,
South China University of Technology,
Guangzhou 510640, China
e-mail: soonke2010@126.com

Jiang Ding

School of Mechanical
and Automotive Engineering,
South China University of Technology,
Guangzhou 510640, China
e-mail: jding2012@gmail.com

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 22, 2013; final manuscript received February 22, 2014; published online April 11, 2014. Assoc. Editor: Zhang-Hua Fong.

J. Mech. Des 136(6), 061001 (Apr 11, 2014) (10 pages) Paper No: MD-13-1181; doi: 10.1115/1.4027160 History: Received April 22, 2013; Revised February 22, 2014

The space curve meshing wheel (SCMW) has been studied previously for small power transmission. To extend its application in conventional power transmission, the bending strength of the SCMW needs to be studied. In this paper, the tine's section of the SCMW is optimized, the mechanical model of the bending strength is deduced according to the equations for a couple of given contact curves of the SCMW, and the design formulas of the tines are newly deduced based on the equal bending strength principle. Finally, one design example of a SCMW with elliptical torus cross-section tines is provided. The result shows that the theoretical design attained from the presented formulas coincides with that from the finite element analysis. It dedicates that the SCMW possesses enough equal bending strength to be used to in conventional industrial gearing device design.

Copyright © 2014 by ASME
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References

Figures

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Fig. 2

Circular cross-section of tine

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Fig. 3

Elliptical cross-section of tine

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Fig. 4

Elliptical torus cross-sectional form of tine

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Fig. 5

Bending stress distribution of tine with cross-sectional form of circular

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Fig. 6

Bending stress distribution of tine with cross-sectional form of elliptical

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Fig. 7

Bending stress distribution of tine with cross-sectional form of elliptical torus

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Fig. 8

Coordinate systems for SCMW

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Fig. 9

Contact curves for (a) driving tine and (b) driven tines

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Fig. 10

Applied force analysis for the driving tine

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Fig. 11

Driven wheel in the direction of z2

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Fig. 12

Driven wheel in the direction of x2

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Fig. 13

Force on driving tine: (a) force diagram and (b) simulation

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Fig. 14

Design process of SCMW based on the principle of equal bending strength

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Fig. 15

Stress distribution of driving tine with cross-sectional form of elliptical torus

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Fig. 16

Stress distribution of driven tine with cross-sectional form of elliptical torus

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Fig. 17

Stress distribution of driving tine with cross-sectional form of circular

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Fig. 18

Stress distribution of driven tine with cross-sectional form of circular

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Fig. 19

Stress distribution of bevel pinion

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Fig. 20

Stress distribution of bevel gear

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