Enumeration of 1-DOF Planetary Gear Train Graphs Based on Functional Constraints-Reference-Cited by-同舟云学术

Enumeration of 1-DOF Planetary Gear Train Graphs Based on Functional Constraints

Published:2002-11-26 Issue:4 Volume:124 Page:723-732
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

del Castillo Jose M.¹

Affiliation:

1. Escuela de Ingenierias Industriales, Universidad de Extremadura, Avda. de Elvas s/n, 06071 Badajoz, Spain.

Abstract

A procedure for the enumeration of the graphs of 1-dof planetary gear trains is presented. The planetary gear trains enumerated have a single input shaft and a single output shaft. These gear trains should satisfy certain functional constraints that avoid the existence of idle links. These constraints are derived. The enumeration of the graphs exploits the resulting particular features of the structure of planetary gear trains by proceeding gradually through different levels of that structure. The procedure includes a check for isomorphism among the resulting graphs. Finally, the graphs of the planetary gear trains having up to 9 links are presented. Those graphs containing embedded structures are identified.

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/124/4/723/5798364/723_1.pdf

Reference14 articles.

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3. Tsai, L. W. , 1987, “An Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains,” ASME J. Mech., Transm., Autom. Des., 109, pp. 329–336.

4. Kim, J. U., and Kwak, B. M., 1990, “Application of Edge Permutation Group to Structural Synthesis of Epicyclic Gear Trains,” Mech. Mach. Theory, 25, pp. 563–574.

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