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Kinematic Synthesis of Quasi-Homokinetic Four-Bar Linkages Through the Burmester and Chebyshev Theories

[+] Author Affiliations
Giorgio Figliolini

University of Cassino, Cassino, FR, Italy

Ettore Pennestrì

University of Rome “Tor Vergata”, Roma, Italy

Paper No. DETC2014-34951, pp. V05AT08A067; 10 pages
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 5A: 38th Mechanisms and Robotics Conference
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4636-0
  • Copyright © 2014 by ASME


The present paper deals with the formulation of specific algorithms for the kinematic synthesis of quasi-homokinetic four-bar linkages, slider-crank mechanisms included, which are based on the fundamentals of kinematics, as the centrodes, the inflection circle, the cubic of stationary curvature, Freudenstein’s theorem, the Euler-Savary equation and Chebyshev’s theory.

These algorithms are aimed to obtain in a given range of motion, a quasi-constant transmission ratio between the driving and driven links, thus producing a quasi-homokinetic behaviour. In particular, the infinitesimal Burmester theory and the Chebyshev optimality criterion are applied to propose a compact closed-form solutions, which are validated through several significant examples.

Copyright © 2014 by ASME
Topics: Kinematics , Linkages



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