Comparison of the sound-attenuation efficiency of locally material and elastic band-gap structures

Cecile Goffaux, Jose Sanchez-Dehesa, Philippe Lambin

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    Résumé

    Numerical methods are applied to study the elastic wave propagation in a so-called locally resonant sonic material. The structure is a two-dimensional analog of a three-dimensional structure proposed recently, which offers interesting attenuation properties at low frequencies [K. M. Ho et al., Appl. Phys. Lett. 83, 5566 (2003)]. The present structure is based on heavy cylinders located on a square lattice, immersed in a soft polymer, and separated from each other by a rigid grid. It is demonstrated that the grid induces Fano resonances, improving the sound attenuation performances of the system compared with the mass law. The transmission characteristics of a stacking of different layers of this material are studied and compared with those of a 2D phononic crystal obtained by removing the grid. For equivalent mass and size, the latter is shown to have even better attenuation performances on a larger range of frequencies due to Bragg interference phenomena at low frequencies.
    langue originaleAnglais
    Pages (de - à)184302-1-6
    journalPhysical Review. B, Condensed Matter and Materials Physics
    Volume70
    Numéro de publication18
    Les DOIs
    Etat de la publicationPublié - 2004

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