A novel algorithm for enumeration of the planetary gear train based on graph theory

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Abstract

As well known, graph theory is a powerful tool for mechanism design. The enumeration of planet gear trains can be converted the synthesis of graphs while a planetary gear train is converted to a graph. During the enumeration of graphs, the problem of isomorphism should be solved. This paper proposes a novel algorithm used to generate non-isomorphism graphs and thereby omits the part of isomorphism detection. The vertex characteristic is firstly defined in this paper that is the core of the enumeration algorithm. This paper also gives an example of the application for the algorithm.

Original languageEnglish
Title of host publicationAdvances in Mechanical Design
Pages392-399
Number of pages8
DOIs
StatePublished - 2011
Event2nd International Conference on Manufacturing Science and Engineering, ICMSE 2011 - Guilin, China
Duration: 9 Apr 201111 Apr 2011

Publication series

NameAdvanced Materials Research
Volume199-200
ISSN (Print)1022-6680

Conference

Conference2nd International Conference on Manufacturing Science and Engineering, ICMSE 2011
Country/TerritoryChina
CityGuilin
Period9/04/1111/04/11

Keywords

  • Graph theory
  • Isomorphism
  • Kinematics
  • Planetary gear train

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