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Research Papers

Predicting the Sound Transmission Loss of Sandwich Panels by Statistical Energy Analysis Approach

[+] Author and Article Information
Tongan Wang1

 University of Southern California, 3651 Watts Way, VHE 602, Los Angeles, CA 90089tonganw@yahoo.com

Shan Li, Shankar Rajaram, Steven R. Nutt

 University of Southern California, 3651 Watts Way, VHE 602, Los Angeles, CA 90089

1

Corresponding author. Present address: 500 Gulfstream Road, Gulfstream Aerospace Corporation, Savannah, GA 31408

J. Vib. Acoust 132(1), 011004 (Jan 08, 2010) (7 pages) doi:10.1115/1.4000459 History: Received January 24, 2008; Revised May 17, 2009; Published January 08, 2010

A statistical energy analysis (SEA) approach is used to predict the sound transmission loss (STL) of sandwich panels numerically. Unlike conventional SEA studies of the STL of sandwich panels, which consider only the antisymmetric (bending) motion of the sandwich panel, the present approach accounts for both antisymmetric and symmetric (dilatational) motions. Using the consistent higher-order sandwich plate theory, the wave numbers of the waves propagating in the sandwich panel were calculated. Using these wave numbers, the wave speed of the propagating waves, the modal density, and the radiation efficiency of the sandwich panels were determined. Finally, the sound transmission losses of two sandwich panels were calculated and compared with the experimentally measured values, as well as with conventional SEA predictions. The comparisons with the experimental data showed good agreement, and the superiority of the present approach relative to other approaches is discussed and analyzed.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 4

Impedances for panel A: Zantisymmetric=Z̃ and Zsymmetric=Z¯

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Figure 5

Wave speeds of panel A, where cantisymmetric represents the antisymmetric wave phase speed c̃ϕ, csymmetric denotes the symmetric phase speed c¯ϕ, cair is the wave speed of sound in the air, and cb skin is the bending wave speed for the bending of skin loaded with half of the core mass

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Figure 6

Group wave speeds of panel B, where cg anti represents the group wave speed for the antisymmetric motion c̃g and cg sym denotes the symmetric group wave speed c¯g

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Figure 1

Transformation of the general motion of the sandwich panel to the antisymmetric and symmetric motions of the same panel: (a) antisymmetric (bending) and (b) symmetric (dilatational) motions

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Figure 2

Block diagram illustrating the power flow in three-way coupled systems, where W1in represents the input power to system 1, Wid is the power dissipated in system i, Wij denotes the net power lost by system i through coupling to system j, and Ei is the total energy in system i

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Figure 3

Block diagram illustrating the power flow in four-way coupled systems

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Figure 7

Radiation efficiencies of panel A, where Radanti represents the antisymmetric radiation efficiency σ̃rad and Radsym denotes the radiation efficiency for the symmetric motion σ¯rad

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Figure 8

Sound transmission loss of panel A, where — represents the prediction of the present SEA approach, + represents the experimental data (6), -- represents the prediction of the SEA approach in Ref. 12

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