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

Eric A. Butcher, Chris Hartman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Pages471-480
Number of pages10
StatePublished - Dec 1 2002
EventASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 - Montreal, QC, Canada
Duration: Sep 29 2002Oct 2 2002

Publication series

NameASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Volume5

Conference

ConferenceASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
CountryCanada
CityMontreal, QC
Period9/29/0210/2/02

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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  • Cite this

    Butcher, E. A., & Hartman, C. (2002). Enumeration and classification of 12-bar planar simple-jointed kinematic chains using a hierarchical approach. In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 (pp. 471-480). (ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002; Vol. 5).