Identifying and counting the number of mechanisms from kinematic chains subject to design constraints

Hong-Sen Yan, Chih Ching Hung

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

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.

Original languageEnglish
Title of host publicationProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005
Subtitle of host publication29th Mechanisms and Robotics Conference
Pages343-350
Number of pages8
Volume7 A
Publication statusPublished - 2005
EventDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Long Beach, CA, United States
Duration: 2005 Sep 242005 Sep 28

Other

OtherDETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityLong Beach, CA
Period05-09-2405-09-28

Fingerprint

Kinematics

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Yan, H-S., & Hung, C. C. (2005). Identifying and counting the number of mechanisms from kinematic chains subject to design constraints. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005: 29th Mechanisms and Robotics Conference (Vol. 7 A, pp. 343-350)
Yan, Hong-Sen ; Hung, Chih Ching. / Identifying and counting the number of mechanisms from kinematic chains subject to design constraints. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005: 29th Mechanisms and Robotics Conference. Vol. 7 A 2005. pp. 343-350
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Yan, H-S & Hung, CC 2005, Identifying and counting the number of mechanisms from kinematic chains subject to design constraints. in Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005: 29th Mechanisms and Robotics Conference. vol. 7 A, pp. 343-350, DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Long Beach, CA, United States, 05-09-24.

Identifying and counting the number of mechanisms from kinematic chains subject to design constraints. / Yan, Hong-Sen; Hung, Chih Ching.

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005: 29th Mechanisms and Robotics Conference. Vol. 7 A 2005. p. 343-350.

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

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Yan H-S, Hung CC. Identifying and counting the number of mechanisms from kinematic chains subject to design constraints. In Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences - DETC2005: 29th Mechanisms and Robotics Conference. Vol. 7 A. 2005. p. 343-350