Kinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method-Reference-Cited by-同舟云学术

Kinematic Analysis of Epicyclic Bevel Gear Trains With Matroid Method

Published:2012-10-03 Issue:11 Volume:134 Page:
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Talpasanu Ilie¹,Simionescu P. A.²

Affiliation:

1. Department of Mechanical Engineering and Technology, Wentworth Institute of Technology, Boston, MA 02115

2. Department of Computing Sciences, Texas A&M University, Corpus Christi, TX 78412

Abstract

Abstract 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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/134/11/114501/6731000/114501_1.pdf

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3. Theorie des idealen einfachen Planetengetriebes;Levai;VDIZ. (1857-1968)

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