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Dynamics, Synchronization and Control of Parametric Pendulums

  • Anna NajdeckaEmail author
  • Vahid Vaziri
  • Marian Wiercigroch
Conference paper
Part of the IUTAM Bookseries (closed) book series (IUTAMBOOK, volume 32)

Abstract

In this work the dynamics and synchronization of the coupled parametric pendulums system is examined with a view to its application for wave energy extraction. The system consisting of two parametric pendulums on a common support has been modeled and its response studied numerically, with a main focus on synchronized rotation. Different methods of controlling the response the pendulums have been introduced and compared. Numerical results have been verified in experimental studies.

Keywords

Parametric pendulum Synchronization of pendulums Delayed feedback control 

References

  1. Horton, B.: Rotational motion of pendula systems for wave energy extraction. PhD thesis, University of Aberdeen (2009)Google Scholar
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  3. Pikovsky, A., Rosenblum, M., Kurths, J.: Synchronization. A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001)zbMATHCrossRefGoogle Scholar
  4. Xu, X., Wiercigroch, M., Cartmell, M.P.: Rotating orbits of a parametrically excited pendulum. Chaos Solitons Fractals 23, 1537–1548 (2005)zbMATHGoogle Scholar
  5. Yokoi, Y., Morrison, R., Wiercigroch, M., Hokihara, T.: modelling synchronisation of parametrically excited pendulums. Book of Abstracts, International Conference on Recent Advanced in Nonlinear Mechanics, 24–27 August 2009, Kuala Lumpur, Malaysia (2009)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Anna Najdecka
    • 1
    Email author
  • Vahid Vaziri
    • 1
  • Marian Wiercigroch
    • 1
  1. 1.Centre for Applied Dynamics Research, School of EngineeringUniversity of AberdeenAberdeenUK

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