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Research Papers

Structural Acoustics of a Rectangular Panel Backed by a Cavity: An Analytical Matrix Approach

[+] Author and Article Information
Nitin K. Jain

Department of Mechanical Engineering,
Indian Institute of Science,
Bangalore 560012, India

Venkata R. Sonti

Department of Mechanical Engineering,
Indian Institute of Science,
Bangalore 560012, India
e-mail: sonti@mecheng.iisc.ernet.in

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received August 26, 2016; final manuscript received November 18, 2016; published online March 16, 2017. Assoc. Editor: Theodore Farabee.

J. Vib. Acoust 139(3), 031004 (Mar 16, 2017) (8 pages) Paper No: VIB-16-1423; doi: 10.1115/1.4035378 History: Received August 26, 2016; Revised November 18, 2016

The coupling matrix in structural-acoustic systems carries the entire information about the coupled resonances. We have found an elegant way of presenting this matrix and computing its determinant analytically (in a closed-form) for light fluid loading cases. The determinant gets factorized into a product. This form can be used to gain an insight into the new order of the coupled resonances. The specific example of a rectangular panel backed by a cavity is taken to demonstrate the method. This being the primary objective of the work, secondarily, the form of the matrix so derived is used to compute the new coupled resonances using a simple iterative scheme requiring a starting guess. Numerical values are compared with those given in the literature and also using the commercial package virtual lab.

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Figures

Grahic Jump Location
Fig. 1

Schematic of a structure in contact with a cavity. The external forces are f(y,ω) and S(x,ω).

Grahic Jump Location
Fig. 2

Schematic of a rectangular panel backed by a rectangular cavity

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