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research-article

Geometric Design of Micro-Reducer With Multi-Output Shafts Distributed in Regular Polygon Form

[+] Author and Article Information
Yang-zhi Chen

e-mail: meyzchen@scut.edu.cn

Xiao-yan Fu

e-mail: akubuguai@126.com

Jiang Ding

e-mail: jding2012@gmail.com

Shun-ke Liang

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

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 7, 2012; final manuscript received March 2, 2013; published online April 23, 2013. Assoc. Editor: Kwun-Lon Ting.

J. Mech. Des 135(5), 051004 (Apr 23, 2013) (10 pages) Paper No: MD-12-1242; doi: 10.1115/1.4024084 History: Received May 07, 2012; Revised March 02, 2013

Based on the theory of space curve meshing, a space curve meshing wheel (SCMW) transmission mechanism has been invented by present authors in recent years. To extend applications of the SCMW, design methods for a novel micro-reducer with multioutput shafts distributed in regular polygon form is proposed in the paper. It is featured with three regular polygons nested. The middle regular polygon, named as reference regular polygon (RRP), is composed of transmission shafts. Three aspects are proposed as below to design the reducer: first, primary design parameters are determined by research and experience, and formulas of center distances are derived; second, an approach to establish the analytical model of the RRP simply and effectively is presented, which shows that the geometric dimensions of the reducer mainly depend on the side length of the RRP; and third, the novel micro-reducer is determined after the side length formulas of the RRP derived from the model. The simplicity and effectiveness of the formulas presented are demonstrated by a series of computational simulations.

Copyright © 2013 by ASME
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References

Blagojevic, M., Marjanovic, N., and Djordjevic, Z., 2011, “A New Design of a Two-Stage Cycloidal Speed Reducer,” ASME J. Mech. Des., 133(8), p. 085001. [CrossRef]
Gorla, C., Davoli, P., Rosa, F., and Longoni, C., 2008, “Theoretical and Experimental Analysis of a Cycloidal Speed Reducer,” ASME J. Mech. Des., 130(11), p. 112604. [CrossRef]
Kahraman, A., 1994, “Planetary Gear Train Dynamics,” ASME J. Mech. Des., 116(3), pp. 713–720. [CrossRef]
Yan, H. S., and Lai, T. S., 2002, “Geometry Design of an Elementary Planetary Gear Train With Cylindrical Tooth-Profiles,” Mech. Mach. Theory, 37(8), pp. 757–767. [CrossRef]
Gao, W., Furukawa, M., Kiyono, S., and Yamazaki, H., 2004, “Cutting Error Measurement of Flexspline Gears of Harmonic Speed Reducers Using Laser Probes,” Precis. Eng., 28(3), pp. 358–363. [CrossRef]
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., 1989, “Theory of Gearing,” NASA Reference Publication 1212.
Litvin, F. L., 1994, Gear Geometry and Applied Theory ( Prentice Hall, Englewood Cliffs, NJ, 1994).
Dooner, D. B., 2002, “On the Three Laws of Gearing,” ASME J. Mech. Des., 124(4), pp. 733–744. [CrossRef]
Chen, Y. Z., Luo, L., and Hu, Q., 2008, “A Space-Curve Meshing-Wheel Transmission Mechanism,” Chinese Patent No. 200,810,029,649.0.
Chen, Y. Z., Xiang, X. Y., and Luo, L., 2009, “A Corrected Equation of Space Curve Meshing,” Mech. Mach. Theory., 44(7), pp. 1348–1359. [CrossRef]
Chen, Y. Z., Hu, Q., and Su, L. H., 2010, “Design Criterion for the Space-Curve Meshing-Wheel Mechanism Based on Elastic Deformation of the Tines,” ASME J. Mech. Des., 132(5), p. 054502. [CrossRef]
Chen, Y. Z., and Fu, X. Y., 2011, “A Equilateral Planarpolygon Axial Distributive Micro-Reducer,” Chinese Patent No. 201,010,511,596.3.
Chen, Y. Z., Su, L. H., Wang, D., Yang, Y., and Ding, J., 2010, “Investigation into the Process of Selective Laser Melting Rapid Prototyping Manufacturing for Space-Curve Meshing-Wheel,” Adv. Mater. Res., 135, pp. 122–127. [CrossRef]
Chen, Y. Z., Fu, X. Y., and Ding, J., 2011, “A Micro-Reducer With Parallel Multiple Output Shafts,” Chinese Patent No. 201,110,009,692.2.
Chen, Y. Z., Luo, L., and Hu, Q., 2009, “The Contact Ratio of a Space-Curve Meshing-Wheel,” ASME J. Mech. Des., 131(7), p. 074501. [CrossRef]
Li, G. X., 2007, Spatial Geometry Modeling and Its Application in Engineering, Higher Education, Beijing, China.

Figures

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Fig. 1

Transmission schematic diagram of SCMW

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Fig. 2

Reference regular polygon

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Fig. 3

Coordinate systems for SCMW

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Fig. 4

Geometrical model of RPR

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Fig. 5

Coordinate systems for meshing radii at point M of driving wheel and driven wheel

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Fig. 6

Spatial geometrical relationship of meshing radius r at point M of driving wheel

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Fig. 7

Relationship between starting meshing points of driving tine and driven tine

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Fig. 8

Spatial geometrical relationship of meshing radius R at the point M of driven wheel

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Fig. 9

Twice transformations about the distance ΔX

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Fig. 10

Geometrical model of reference regular triangle

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Fig. 11

Geometrical model of reference quadrate

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Fig. 12

Geometrical model of reference regular pentagon

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Fig. 13

Geometrical model of reference regular hexagon

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Fig. 14

Geometrical model of reference regular octagon

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Fig. 15

3D model of RPR (N ≥ 5) in assembly method one

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Fig. 16

3D models of RPR (N ≥ 5) in assembly method two and three

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Fig. 17

3D models of regular triangle reducer and quadrate reducer

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