Acoustic Radiation by Point- or Line-Excited Laminated Plates

Hwang, Y. F.; Kim, M.; Zoccola, Paul J.

doi:10.1115/1.1303823

Cited by 10 publications

(5 citation statements)

References 12 publications

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“…It is observed from Fig. 2(a) that the present model predictions coincide excellently well with those model of Hwang et al over the whole frequency domain considered, implying that the anisotropic model developed in the present study can be degraded to isotropic model of Hwang et al 4 The results of Fig. 2(a) reveal that the sound pressure curve obtained by using the Kirchhoff thin plate model monotonically decreases with increasing excitation frequency.…”

Section: Model Validation With Single-layer Isotropic Platessupporting

confidence: 81%

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A 3-D elasticity theory based model for acoustic radiation from multilayered anisotropic plates

Shen

Xin

2014

The Journal of the Acoustical Society of America

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A theoretical model built upon three-dimensional elasticity theory is developed to investigate the acoustic radiation from multilayered anisotropic plates subjected to a harmonic point force excitation. Fourier transform technique and stationary phase method are combined to predict the far-field radiated sound pressure of one-side water immersed plate. Compared to equivalent single-layer plate models, the present model based on elasticity theory can differentiate radiated sound pressure between dry-side and wet-side excited cases, as well as discrepancies induced by different layer sequences for multilayered anisotropic plates. These results highlight the superiority of the present theoretical model especially for handling multilayered anisotropic structures.

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Section: Model Validation With Single-layer Isotropic Platessupporting

confidence: 81%

“…Also relying on the elasticity theory, Folds and Loggins 3 studied sound transmission loss of multilayered isotropic plates. This approach was further extended by Hwang et al 4 to calculate sound radiation from multilayered isotropic plates subjected to either line-or point-force excitation.…”

Section: Introductionmentioning

confidence: 99%

A 3-D elasticity theory based model for acoustic radiation from multilayered anisotropic plates

Shen

Xin

2014

The Journal of the Acoustical Society of America

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“…Substituting (29) into (20), the forced response of displacement in top surface of the plate subjected transverse force on the top surface can be obtained:…”

Section: Transverse Loadmentioning

confidence: 99%

“…However, studies of sound radiation from plate structures based on 3D elasticity may be the sole ultimate choice, which is, however, relatively scarce. Hwang et al [29] presented an elasticity theory solution for acoustic radiation by a pointor line-excited fluid-loaded laminated plate. Shen et al [30] studied acoustic radiation from multilayered anisotropic plates based on 3D elasticity model.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

Yang¹,

Huang

Li³

2016

Shock and Vibration

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This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates.

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“…Many researches have already devoted to the vibro-acoustics of simple structures such as beams, plates, circular cylindrical shells, coupled with internal or external acoustic fluids, by analytical methods (see for instance [1][2][3][4][5][6][7][8]) and to the vibro-acoustics of general structures by numerical methods (see for instance [5,9]). Concerning the vibro-acoustics of multilayer systems without porous medium, a large number of works were published (see for instance [2,5,[10][11][12][13][14][15][16]). The difficulties to model multilayer systems are due to the problems induced by the acoustic behaviour of porous media and by the coupling between the layers constituting the system.…”

Section: Introductionmentioning

confidence: 99%

Equivalent acoustic impedance model. Part 2: analytical approximation

Faverjon¹,

Soize²

2004

Journal of Sound and Vibration

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To cite this version:B. Faverjon, Christian Soize. Equivalent acoustic impedance model. Part 2: analytical approximation. Journal of Sound and Vibration, Elsevier, 2004, 276 (3-5) In the context of the prediction of noise levels in vibroacoustic systems, numerical models or analytical models can be developed. Generally, numerical models are adapted to the low and medium frequency ranges and analytical models to the medium and high frequency ranges. For analytical models, a classical approximation consists in modelling the multilayer system by an equivalent acoustic impedance. This paper deals with a multilayer system constituted of a porous medium inserted between two thin plates. Part I of this paper is devoted to the experiments performed and to the development of a probabilistic algebraic model for the equivalent acoustic impedance. In the present Part II, an analytical method is constructed for this multilayer system. This method consists in introducing the unbounded medium in the plane directions x 1 and x 2 while the medium is bounded in the x 3 direction. A two-dimensional space Fourier transform introducing the wave vector coordinates k 1 and k 2 is used. For a given frequency and for k 1 and k 2 fixed, the boundary value problem in x 3 is constituted of 12 differential equations in x 3 whose coefficients depend on k 1 and k 2 , with boundary conditions. This system of equations is solved by using adapted algebraic calculations. By inverse Fourier transform with respect to k 1 and k 2 , the equivalent acoustic impedance is deduced. The method which is proposed is not usual. Finally, a comparison of this analytical approach is compared with the experimental results.

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Acoustic Radiation by Point- or Line-Excited Laminated Plates

Cited by 10 publications

References 12 publications

A 3-D elasticity theory based model for acoustic radiation from multilayered anisotropic plates

A 3-D elasticity theory based model for acoustic radiation from multilayered anisotropic plates

Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

Equivalent acoustic impedance model. Part 2: analytical approximation

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