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

Cécile Goffaux, José Sánchez-Dehesa, and Philippe Lambin
Phys. Rev. B 70, 184302 – Published 18 November 2004

Abstract

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.

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  • Received 4 May 2004

DOI:https://doi.org/10.1103/PhysRevB.70.184302

©2004 American Physical Society

Authors & Affiliations

Cécile Goffaux

  • CENAERO, 30 Avenue Jean Mermoz, B-6041 Gosselies, Belgium

José Sánchez-Dehesa

  • Centro de Tecnología Nanofotónica, ETSI Telecomunicación, Universidad Politécnica de Valencia, C/ Camino de Vera s/n, E-46022 Valencia, Spain

Philippe Lambin

  • Laboratoire de Physique du Solide, Facultés Universitaires Notre-Dame de la Paix, 61 rue de Bruxelles, B-5000 Namur, Belgium

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Issue

Vol. 70, Iss. 18 — 1 November 2004

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