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Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system

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  • Manevitch, L.I.
  • Gourdon, E.
  • Lamarque, C.H.

Abstract

Parameters optimization for energy pumping is considered. The case of strongly nonhomogeneous nonlinear system with 2 dof is analyzed. Damping in strongly nonlinear energetic sink as well as in the linear primary structure are taken into account. In particular efficiency of energy pumping is studied by using an analytical expression. This analytical form is obtained owing to the multiple scale analysis by using the complex variables. Analytical results are confirmed by numerical ones. An experimental verification based on a reduced-scale building model is also considered.

Suggested Citation

  • Manevitch, L.I. & Gourdon, E. & Lamarque, C.H., 2007. "Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 900-911.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:900-911
    DOI: 10.1016/j.chaos.2005.10.036
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    References listed on IDEAS

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    1. Gendelman, O.V. & Lamarque, C.H., 2005. "Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 501-509.
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    Cited by:

    1. Ture Savadkoohi, Alireza & Manevitch, Leonid I. & Lamarque, Claude-Henri, 2011. "Analysis of the transient behavior in a two dof nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 450-463.
    2. Taleshi, Maryam & Dardel, Morteza & Pashaie, Mohammad Hadi, 2016. "Passive targeted energy transfer in the steady state dynamics of a nonlinear plate with nonlinear absorber," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 56-72.

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    1. Ture Savadkoohi, Alireza & Manevitch, Leonid I. & Lamarque, Claude-Henri, 2011. "Analysis of the transient behavior in a two dof nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 450-463.
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