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Configuration Synthesis of Metamorphic Mechanisms Based on Characteristic Incidence Matrix

[+] Author Affiliations
Duanling Li, Zhonghai Zhang

Beijing University of Posts and Telecommunications, Beijing, China

Jian S. Dai

King’s College, University of London, London, UK

J. Michael McCarthy

University of California, Irvine, CA

Paper No. DETC2010-29199, pp. 943-952; 10 pages
doi:10.1115/DETC2010-29199
From:
  • ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 34th Annual Mechanisms and Robotics Conference, Parts A and B
  • Montreal, Quebec, Canada, August 15–18, 2010
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4410-6 | eISBN: 978-0-7918-3881-5
  • Copyright © 2010 by ASME

abstract

This paper presents an approach to the configuration synthesis of metamorphic mechanisms with consideration of both link and joint changes. The technique, referred to here as computational geometry, uses a constraint graph to represent topological structure of metamorphic mechanisms instead of traditional graph representation that can not distinguish link types and multi-joints. Based on the constraint graph, a characteristic incidence matrix is proposed with the characteristic relationships between links and joints. Then, a synthetic method based on characteristic incidence matrix is put forward in this paper using operations among matrixes with different orders by binary computing. Through an example of a four-bar mechanism synthesizing into five-bar mechanisms with the proposed configuration synthetic method, it is confirmed that the approach is correct and effective for the configuration synthesis of all metamorphic mechanisms with single or multiple joints.

Copyright © 2010 by ASME
Topics: Mechanisms

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