Enumeration and classification of 12-bar planar simple-jointed kinematic chains using a hierarchical approach

Eric A. Butcher, Chris Hartman

Research output: Contribution to conferencePaperpeer-review

3 Scopus citations

Abstract

The complete set of 12-bar planar simple-jointed kinematic chains is enumerated using the stratified or hierarchical representation, of Fang and Freudenstien (1990) in which postpriori isomorphism testing is not needed. This is achieved by directly enumerating the simplified and contracted graphs from which the kinematic chains are built up. The number obtained is compared with those from previous studies, and the list is catagorized by the link sets and by the numbers of major vertices and edges in the simplified graphs. A major feature of the technique is the use of an efficient rote-based technique for eliminating degenerate chains.

Original languageEnglish (US)
Pages471-480
Number of pages10
DOIs
StatePublished - 2002
Externally publishedYes
EventASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002 - Montreal, Canada
Duration: Sep 29 2002Oct 2 2002

Conference

ConferenceASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002
Country/TerritoryCanada
CityMontreal
Period9/29/0210/2/02

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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