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Higher-Pair Reuleaux-Triangle in Square and its Derived Mechanisms

[+] Author Affiliations
Giorgio Figliolini, Pierluigi Rea, Salvatore Grande

University of Cassino, Cassino, FR, Italy

Paper No. DETC2012-71332, pp. 1629-1638; 10 pages
  • ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 4: 36th Mechanisms and Robotics Conference, Parts A and B
  • Chicago, Illinois, USA, August 12–15, 2012
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4503-5
  • Copyright © 2012 by ASME


This paper deals with the formulation of a mathematical procedure for the motion analysis of mechanisms, which are derived by the higher-pair Reuleaux-triangle in square, which curve-triangle shows a rounded vertex.

In particular, the trajectory of the center of the modified Reuleaux triangle, the fixed and moving centrodes, the trajectory of any moving point, with particular reference to the center of the rounded corner of the curve-triangle, have been obtained in algebraic form. Exact square trajectories can be also obtained for specific rounded corners.

Copyright © 2012 by ASME



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