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Experimental study of isolas in nonlinear systems featuring modal interactions

Author

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  • Thibaut Detroux
  • Jean-Philippe Noël
  • Lawrence N Virgin
  • Gaëtan Kerschen

Abstract

The objective of the present paper is to provide experimental evidence of isolated resonances in the frequency response of nonlinear mechanical systems. More specifically, this work explores the presence of isolas, which are periodic solutions detached from the main frequency response, in the case of a nonlinear set-up consisting of two masses sliding on a horizontal guide. A careful experimental investigation of isolas is carried out using responses to swept-sine and stepped-sine excitations. The experimental findings are validated with advanced numerical simulations combining nonlinear modal analysis and bifurcation monitoring. In particular, the interactions between two nonlinear normal modes are shown to be responsible for the creation of the isolas.

Suggested Citation

  • Thibaut Detroux & Jean-Philippe Noël & Lawrence N Virgin & Gaëtan Kerschen, 2018. "Experimental study of isolas in nonlinear systems featuring modal interactions," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-25, March.
    • Handle: RePEc:plo:pone00:0194452
    DOI: 10.1371/journal.pone.0194452
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    References listed on IDEAS

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    1. Dario Antonio & Damián H. Zanette & Daniel López, 2012. "Frequency stabilization in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 3(1), pages 1-6, January.
    2. M H Mehrabi & Meldi Suhatril & Zainah Ibrahim & S S Ghodsi & Hamed Khatibi, 2017. "Modeling of a viscoelastic damper and its application in structural control," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-22, June.
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