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.
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15 September 2008
Research Article|
September 25 2008
Elastic and viscoelastic effects in rubber/air acoustic band gap structures: A theoretical and experimental study
B. Merheb;
B. Merheb
a)
1Department of Materials Science and Engineering,
University of Arizona
, Tucson, Arizona 85721, USA
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P. A. Deymier;
P. A. Deymier
1Department of Materials Science and Engineering,
University of Arizona
, Tucson, Arizona 85721, USA
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M. Jain;
M. Jain
2Corporate Research Materials Laboratory,
3M Co.
, 3M Center, St. Paul, Minnesota 55144-1000, USA
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M. Aloshyna-Lesuffleur;
M. Aloshyna-Lesuffleur
2Corporate Research Materials Laboratory,
3M Co.
, 3M Center, St. Paul, Minnesota 55144-1000, USA
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S. Mohanty;
S. Mohanty
2Corporate Research Materials Laboratory,
3M Co.
, 3M Center, St. Paul, Minnesota 55144-1000, USA
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A. Berker;
A. Berker
2Corporate Research Materials Laboratory,
3M Co.
, 3M Center, St. Paul, Minnesota 55144-1000, USA
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R. W. Greger
R. W. Greger
3Volt Services Group, Corporate Research Materials Laboratory,
3M Co.
, 3M Center, St. Paul, Minnesota 55144-1000, USA
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a)
Electronic mail: bassam@merheb.net.
J. Appl. Phys. 104, 064913 (2008)
Article history
Received:
January 06 2008
Accepted:
July 24 2008
Citation
B. Merheb, P. A. Deymier, M. Jain, M. Aloshyna-Lesuffleur, S. Mohanty, A. Berker, R. W. Greger; Elastic and viscoelastic effects in rubber/air acoustic band gap structures: A theoretical and experimental study. J. Appl. Phys. 15 September 2008; 104 (6): 064913. https://doi.org/10.1063/1.2980330
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