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Targeted energy transfer between a system with a set of Saint-Venant elements and a nonlinear energy sink

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Abstract

Targeted energy transfer between a main oscillator with a set of parallel Saint-Venant elements and a nonlinear energy sink with a general nonlinear and odd potential function around 1:1 resonance is studied. The complexified system has been investigated at fast and slow time scales by detecting its invariant manifold, equilibrium and singular points, which can explain bifurcation(s) and different regimes of the system. Then, we introduce an example which treats vibratory energy exchanges between a main oscillator with two parallel Saint-Venant elements and a coupled cubic nonlinear energy sink. Finally, analytical predictions are compared with results obtained by numerical integrations of system equations.

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Authors and Affiliations

  1. ENTPE, Université de Lyon, LGCB and LTDS UMR CNRS 5513, 3 rue Maurice Audin, 69518, Vaulx-en-Velin Cedex, France

    C.-H. Lamarque & A. Ture Savadkoohi

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  1. C.-H. Lamarque
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  2. A. Ture Savadkoohi
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Correspondence to A. Ture Savadkoohi.

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Communicated by Andreas Öchsner.

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Lamarque, CH., Ture Savadkoohi, A. Targeted energy transfer between a system with a set of Saint-Venant elements and a nonlinear energy sink. Continuum Mech. Thermodyn. 27, 819–833 (2015). https://doi.org/10.1007/s00161-014-0354-9

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  • DOI: https://doi.org/10.1007/s00161-014-0354-9

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