General analytical approach for sound transmission loss analysis through a thick metamaterial plate

Journal Article · Fri Nov 21 04:00:00 EST 2014 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4901997· OSTI ID:22402658

Oudich, Mourad; Zhou, Xiaoming

We report theoretically and numerically on the sound transmission loss performance through a thick plate-type acoustic metamaterial made of spring-mass resonators attached to the surface of a homogeneous elastic plate. Two general analytical approaches based on plane wave expansion were developed to calculate both the sound transmission loss through the metamaterial plate (thick and thin) and its band structure. The first one can be applied to thick plate systems to study the sound transmission for any normal or oblique incident sound pressure. The second approach gives the metamaterial dispersion behavior to describe the vibrational motions of the plate, which helps to understand the physics behind sound radiation through air by the structure. Computed results show that high sound transmission loss up to 72 dB at 2 kHz is reached with a thick metamaterial plate while only 23 dB can be obtained for a simple homogeneous plate with the same thickness. Such plate-type acoustic metamaterial can be a very effective solution for high performance sound insulation and structural vibration shielding in the very low-frequency range.

• OSTI ID: 22402658
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 19 Vol. 116; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
KHZ RANGE 01-100
LOSSES
PERFORMANCE
PLATES
RESONATORS
SHIELDING
SOUND WAVES
SPRINGS
THICKNESS
TRANSMISSION
WAVE PROPAGATION