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Suppression of vibrations in strongly nonhomogeneous 2DOF systems

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Abstract

In this work we analyze the effects of an optimal linear control for nonlinear systems under the vibrations of a strongly nonhomogeneous nonlinear two-degree-of-freedom system with single anchor spring under condition of initial impact. We compare the results with those obtained for (a) when using only a passive broadband boundary controller which, in essence, corresponds to a one-way passive and almost irreversible energy flow from a heavy or main system to a nonlinear energy sink (NES), and (b) when using the nonlinear energy sink in combination with the optimal linear control for nonlinear system.

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Authors and Affiliations

  1. Instituto de Geociências e Ciências Exatas, Departamento de Estatística, Matemática Aplicada e Computação, UNESP, 13500-230, Rio Claro, SP, Brazil

    S. N. J. Costa & J. M. Balthazar

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  1. S. N. J. Costa
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  2. J. M. Balthazar
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Correspondence to S. N. J. Costa.

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Costa, S.N.J., Balthazar, J.M. Suppression of vibrations in strongly nonhomogeneous 2DOF systems. Nonlinear Dyn 58, 623–632 (2009). https://doi.org/10.1007/s11071-009-9505-0

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  • DOI: https://doi.org/10.1007/s11071-009-9505-0

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