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

Eric A. Butcher; Chris Hartman

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Pages	471-480
Number of pages	10
State	Published - 2002
Event	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002 - Montreal, QC, Canada Duration: Sep 29 2002 → Oct 2 2002

Publication series

Name	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Volume	5

Conference

Conference	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002
Country/Territory	Canada
City	Montreal, QC
Period	9/29/02 → 10/2/02

ASJC Scopus subject areas

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

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).

Enumeration and classification of 12-bar planar simple-jointed kinematic chains using a hierarchical approach. / Butcher, Eric A.; Hartman, Chris.

ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002. 2002. p. 471-480 (ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Butcher, EA & 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. ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002, vol. 5, pp. 471-480, ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002, Montreal, QC, Canada, 9/29/02.

Butcher EA, Hartman C. 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. 2002. p. 471-480. (ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2002).

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

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

Abstract

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Conference

ASJC Scopus subject areas

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