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Technical Briefs

Kinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method

[+] Author and Article Information
Ilie Talpasanu

 Department of Mechanical Engineering and Technology, Wentworth Institute of Technology, Boston, MA 02115talpasanui@wit.edu

P. A. Simionescu

 Department of Computing Sciences, Texas A&M University, Corpus Christi, TX 78412pa.simionescu@tamucc.edu

J. Mech. Des 134(11), 114501 (Oct 03, 2012) (8 pages) doi:10.1115/1.4007144 History: Received September 12, 2010; Revised June 19, 2012; Published October 02, 2012; Online October 03, 2012

The paper presents a novel technique for the kinematic analysis of bevel gear trains using the incidence matrices of an edge-oriented graph of the mechanism. The kinematic equations are then obtained in matrix form using a cycle basis from a cycle matroid. These equations can be systematically generated, and allow for an efficient computation of the angular velocities of the gears and planet carriers of the mechanism without employing time derivative operations. As illustrated in the paper, the method is applicable to bevel gear trains of any number of gears or degrees of freedom.

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Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

(a) The BGT mechanism, (b) its associated digraph, and (c) the spanning tree

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