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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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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