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Motion and Constraint Ruled Surfaces of the Schatz Linkage

[+] Author Affiliations
Lei Cui, Jian S. Dai

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

Chung-Ching Lee

National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan

Paper No. DETC2010-28883, pp. 1719-1725; 7 pages
  • 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


This paper investigates the motion and constraint ruled surfaces of the Schatz linkage by examining their geometric characteristics based on screw system analysis. The paper starts by revealing two assembly configurations in accordance with previous literature and examines the cycle phases of the coupler link. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link with Euclidean invariants. The paper further investigates the screw system and its corresponding reciprocal screw and generates the constraint ruled surface in studying its geometry. The study is based on Euclidean invariants and presents intrinsic characteristics between motion and constraint rules surfaces and geometric parameters, revealing the special property of the Schatz linkage.

Copyright © 2010 by ASME
Topics: Motion , Linkages



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