Numerical and Experimental Bifurcation Control in a Parametrically Excited Pendulum

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Abstract

This paper discusses the application of chaos control method for bifurcation control of a parametrically excited pendulum. Specifically, the extended time-delayed feedback control method is employed to maintain stable period-one rotating solution. The motivation of this analysis is the energy harvesting from sea waves where this kind of solution is desirable for an efficient energy generation. Bifurcation diagrams are investigated by considering forcing frequency and forcing amplitude variations. Basically, two different bifurcations need to be avoided from the rotational solution: into chaotic motion; and into non-rotational periodic response. Numerical and experimental results are presented showing that chaos control methods can be successfully applied to perform bifurcation control.
Original languageEnglish
Title of host publicationProceedings of the XV International Symposium on Dynamic Problems of Mechanics
EditorsM.A. Savi
Place of PublicationBrazil
PublisherABCM
Number of pages10
Publication statusPublished - 2013
Eventdiname - Buzios, Brazil
Duration: 17 Feb 201322 Jun 2013

Conference

Conferencediname
CountryBrazil
CityBuzios
Period17/02/1322/06/13

Keywords

  • bifurcation control
  • chaos control methods
  • parametrically excited pendulum

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  • Cite this

    De Paula, A., Savi, M. A., Vaziri Hamaneh, S. V., Wiercigroch, M., & Pavlovskaia, E. E. (2013). Numerical and Experimental Bifurcation Control in a Parametrically Excited Pendulum. In M. A. Savi (Ed.), Proceedings of the XV International Symposium on Dynamic Problems of Mechanics ABCM.