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Identifying and Counting the Number of Mechanisms From Kinematic Chains Subject to Design Constraints

[+] Author Affiliations
Hong-Sen Yan, Chih-Ching Hung

National Cheng Kung University, Tainan, Taiwan, R.O.C.

Paper No. DETC2005-84978, pp. 343-350; 8 pages
doi:10.1115/DETC2005-84978
From:
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 29th Mechanisms and Robotics Conference, Parts A and B
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4744-6 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME

abstract

A methodology is presented, based on combinatorial theory, for the enumeration of non-isomorphic mechanisms precisely from kinematic chains. According to the defined permutation groups, an algorithm for generating all non-isomorphic identified mechanisms by assigning various types of links and joints to kinematic chains is proposed. Based on the concepts of Polya’s theory and generating function, mathematical expressions are derived for counting the number of the identified mechanisms subject to the design constraints of adjacent/incident relationship between links and joints. Examples are provided to illustrate the proposed approach.

Copyright © 2005 by ASME
Topics: Chain , Design , Mechanisms

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