Technical Brief

Design of a Polyhedral Helix Curve Meshing Reducer

[+] Author and Article Information
Yangzhi Chen

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

Jiang Ding

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

Yueling Lv

School of Mechanical and Automotive Engineering,
South China University of Technology,
Guangzhou 510640, China
e-mail: lvyueling88@126.com

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received July 11, 2013; final manuscript received January 6, 2014; published online February 28, 2014. Assoc. Editor: Qi Fan.

J. Mech. Des 136(4), 044503 (Feb 28, 2014) (4 pages) Paper No: MD-13-1303; doi: 10.1115/1.4026571 History: Received July 11, 2013; Revised January 06, 2014

The space curve meshing wheel (SCMW) is an innovative gear mechanism based on the space curve meshing theory, and the helix curve meshing wheel (HCMW) is the most common SCMW. In this study, we propose the polyhedral helix curve meshing reducer (HCMR), which is based on the HCMW group. The installation dimension chains of the HCMW pairs are described for different included-angle cases and the HCMW group is produced by combining HCMW pairs. Finally, a polyhedral HCMR is designed with a single input shaft and multiple output shafts, with an adjustable gear box, for which a trial version was produced. The polyhedral HCMR has good application prospects because of its compact structure, high design flexibility, and low cost.

Copyright © 2014 by ASME
Topics: Dimensions , Chain , Design , Gears , Wheels
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Chen, Y. Z., Xing, G. Q., and Peng, X. F., 2007, “The Space Curve Mesh Equation and Its Kinematics Experiment,” 12th IFToMM World Congress, Besançon, France.
Litvin, F. L., Demenego, A., and Vecchiato, D., 2001, “Formation by Branches of Envelope to Parametric Families of Surfaces and Curves,” Comput. Methods Appl. Mech. Eng., 190(35–36), pp. 4587–4608. [CrossRef]
Dooner, D. B., 2002, “On the Three Laws of Gearing,” ASME J. Mech. Des., 124(4), pp. 733–744. [CrossRef]
Chen, Y.-Z., XiangX.-Y., and Luo, L., 2009, “A Corrected Equation of Space Curve Meshing,” Mech. Mach. Theory, 44(7), pp. 1348–1359. [CrossRef]
Chen, Y. Z., Chen, Z., and Ding, J., 2010, “Space Curve Mesh Driving Pair and Polyhedral Space Curve Mesh Transmission,” Patent Cooperation Treaty, PCT/CN2010/078294.
Ding, J., Chen, Y. Z., and Lv, Y. L., 2012, “Design of Space-Curve Meshing-Wheels With Unequal Tine Radii,” Strojniški Vestn.—J. Mech. Eng., 58(11), pp. 633–641. [CrossRef]
Chen, Y.-Z., Luo, L., and Hu, Q., 2009, “The Contact Ratio of a Space-Curve Meshing-Wheel Transmission Mechanism,” ASME J. Mech. Des., 131(7), p. 074501. [CrossRef]
Chen, Y.-Z., Hu, Q., and Sun, L.-H., 2010, “Design Criterion for the Space-Curve Meshing-Wheel Transmission Mechanism Based on the Deformation of Tines,” J. Mech. Des., 132(5), p. 054502. [CrossRef]
Chen, Y.-Z., He, E.-Y., and Chen, Z., 2012, “Investigations on Precision Finishing of Space-Curve Meshing-Wheel by Electrochemical Brushing Process,” Int. J. Adv. Manuf. Technol., 67(9–12), pp. 2387–2394. [CrossRef]
He, E.-Y., and Chen, Y.-Z., 2012, “Effects of Assembly Errors on Transmission Precision of Space Curve Meshing Wheel,” J. South China Univ. Technol. (Nat. Sci.), 40(12), pp. 24–29.
Chen, Y. Z., and Liang, S. K., 2012, “Research on the Maximum Bending Stress on Driving Tine of SCMW,” 2012 International Conference on Frontiers of Mechanical Engineering and Materials Engineering, Hong Kong.
Chen, Y. Z., Fu, X. Y., Ding, J., and Liang, S. K., 2013, “Geometric Design of Micro-Reducer With Multi-Output Shafts Distributed in Regular Polygon Form,” ASME J. Mech. Des., 135(5), p. 051004. [CrossRef]
Chen, Y. Z., Ding, J., Yao, C. H., and Lv, Y. L., 2012, “Polyhedral Space Curve Meshing Reducer With Multiple Output Shafts,” ASME 2012 International Mechanical Engineering Congress & Exposition, Houston, TX, Paper No. 86087, Vol. 3, pp. 1505–1511.


Grahic Jump Location
Fig. 1

Installation dimension chains of helix curve meshing wheel pairs

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Fig. 2

Driving contact curves and meshing curves in a HCMW pair and a HCMW group

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Fig. 3

Driven wheels driven by the same driving wheel

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Fig. 4

Transmission system of a single-stage tetrahedron helix curve meshing reducer [13]

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Fig. 5

Transmission system of a two-stage tetrahedron helix curve meshing reducer [13]

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Fig. 6

Internal structure of a tetrahedron helix curve meshing reducer gear box

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Fig. 7

Tetrahedron helix curve meshing reducer gear box




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