Synchronous rotational motion of parametric pendulums

A. Najdecka*, T. Kapitaniak, M. Wiercigroch

*Corresponding author for this work

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We study theoretically and experimentally the synchronization phenomenon of two rotating parametric pendulums attached to common elastic support under harmonic excitation. Two types of synchronous states have been identified - complete and phase synchronization. The interactions in the system have been investigated numerically and experimentally. The relation between the synchronization mode and the stability of the rotational motion for a system with flexible support has been studied. It has been demonstrated that the synchronization of pendulums rotating in antiphase is more beneficial from energy harvesting viewpoint than the synchronization in phase. Finally, an influence of the parameter mismatch between the pendulums on their synchronization has been examined. (C) 2014 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)84-94
Number of pages11
JournalInternational Journal of Non-Linear Mechanics
Volume70
Early online date18 Oct 2014
DOIs
Publication statusPublished - Apr 2015

Keywords

  • parametric pendulum
  • synchronization
  • coupled oscillators
  • rotations
  • experimental studies
  • excited pendulum
  • chaotic systems
  • orbits
  • escape
  • oscillators
  • symmetry
  • breaking
  • model

Cite this

Synchronous rotational motion of parametric pendulums. / Najdecka, A.; Kapitaniak, T.; Wiercigroch, M.

In: International Journal of Non-Linear Mechanics, Vol. 70, 04.2015, p. 84-94.

Research output: Contribution to journalArticle

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abstract = "We study theoretically and experimentally the synchronization phenomenon of two rotating parametric pendulums attached to common elastic support under harmonic excitation. Two types of synchronous states have been identified - complete and phase synchronization. The interactions in the system have been investigated numerically and experimentally. The relation between the synchronization mode and the stability of the rotational motion for a system with flexible support has been studied. It has been demonstrated that the synchronization of pendulums rotating in antiphase is more beneficial from energy harvesting viewpoint than the synchronization in phase. Finally, an influence of the parameter mismatch between the pendulums on their synchronization has been examined. (C) 2014 Elsevier Ltd. All rights reserved.",
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note = "Date of Acceptance: 08/10/2014 Acknowledgements Tomasz Kapitaniak has been supported by the Polish Department for Scientific Research (DBN) under Project no. N N501 249238. Anna Najdecka would like to acknowledge a PhD studentship from the Northern Research Partnership.",
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