Elastic and viscoelastic effects in rubber/air acoustic band gap structures

A theoretical and experimental study

B. Merheb, Pierre A Deymier, M. Jain, M. Aloshyna-Lesuffleur, S. Mohanty, A. Berker, R. W. Greger

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

The transmission of acoustic waves through centimeter-scale elastic and viscoelastic two-dimensional silicone rubber/air phononic crystal structures is investigated theoretically and experimentally. We introduce a finite difference time domain method for two-dimensional elastic and viscoelastic composite structures. Elastic fluid-solid phononic crystals composed of a two-dimensional array of cylindrical air inclusions in a solid rubber matrix, as well as an array of rubber cylinders in an air matrix, are shown to behave similarly to fluid-fluid composite structures. These systems exhibit very wide band gaps in their transmission spectra that extend to frequencies in the audible range of the spectrum. This effect is associated with the very low value of the transverse speed of sound in rubber compared to that of the longitudinal polarization. The difference in transmission between elastic and viscoelastic rubber/air crystals results from attenuation of transmission over a very wide frequency range, leaving only narrow passing bands at very low frequencies. These phononic crystals demonstrate the practical design of elastic or viscoelastic solid rubber/air acoustic band gap sound barriers with small dimensions.

Original languageEnglish (US)
Article number064913
JournalJournal of Applied Physics
Volume104
Issue number6
DOIs
StatePublished - 2008

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rubber
acoustics
air
composite structures
fluids
centimeter waves
crystals
silicone rubber
very low frequencies
matrices
acoustic velocity
finite difference time domain method
narrowband
frequency ranges
attenuation
inclusions
broadband
crystal structure
polarization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Elastic and viscoelastic effects in rubber/air acoustic band gap structures : A theoretical and experimental study. / Merheb, B.; Deymier, Pierre A; Jain, M.; Aloshyna-Lesuffleur, M.; Mohanty, S.; Berker, A.; Greger, R. W.

In: Journal of Applied Physics, Vol. 104, No. 6, 064913, 2008.

Research output: Contribution to journalArticle

Merheb, B. ; Deymier, Pierre A ; Jain, M. ; Aloshyna-Lesuffleur, M. ; Mohanty, S. ; Berker, A. ; Greger, R. W. / Elastic and viscoelastic effects in rubber/air acoustic band gap structures : A theoretical and experimental study. In: Journal of Applied Physics. 2008 ; Vol. 104, No. 6.
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