The Vibrational Response of a Clamped Rectangular Porous Plate

Leclaire, Philippe; Horoshenkov, Kirill V.; Swift, Mark; Hothersall, David

doi:10.1006/jsvi.2000.3657

Cited by 43 publications

(19 citation statements)

References 16 publications

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“…Other choices of orthogonal modes would also be possible; free-vibration modes are chosen here because they can be obtained with relative ease. A similar approach has been applied by Leclaire et al [10,11] for the investigation of the vibration problem in porous plates; here, the BEM, is used in order to study acoustic scattering of sources near an edge, expected to be the dominant sound-source mechanism in the aeroacoustics of aerofoils and wings [12].…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of acoustic scattering by finite perforated elastic plates

2016

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We present a numerical method to compute the acoustic field scattered by finite perforated elastic plates. A boundary element method is developed to solve the Helmholtz equation subjected to boundary conditions related to the plate vibration. These boundary conditions are recast in terms of the vibration modes of the plate and its porosity, which enables a direct solution procedure. A parametric study is performed for a two-dimensional problem whereby a cantilevered perforated elastic plate scatters sound from a point quadrupole near the free edge. Both elasticity and porosity tend to diminish the scattered sound, in agreement with previous work considering semi-infinite plates. Finite elastic plates are shown to reduce acoustic scattering when excited at high Helmholtz numbers k 0 based on the plate length. However, at low k 0 , finite elastic plates produce only modest reductions or, in cases related to structural resonance, an increase to the scattered sound level relative to the rigid case. Porosity, on the other hand, is shown to be more effective in reducing the radiated sound for low k 0 . The combined beneficial effects of elasticity and porosity are shown to be effective in reducing the scattered sound for a broader range of k 0 for perforated elastic plates.

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Section: Introductionmentioning

confidence: 99%

Numerical solution of acoustic scattering by finite perforated elastic plates

2016

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“…Figure 13 shows the deflection at the center of the YB10 plate measured using an accelerometer while it was clamped in the impedance tube and subject to broadband sound. Also shown is the deflection spectrum predicted by using Leclaire's theory 5 modified to include fluid loading 6,7 and assuming a uniform oscillatory driving pressure corresponding to a plane wave at normal incidence. The observed and predicted deflection maxima at 60, 120, and 170 Hz are close to the frequencies ͑58.75, 130, and 170 Hz͒ of the peaks observed in the absorption coefficient spectra for the YB10 foam plate ͑Fig.…”

Section: B Comparative Performance Of Different Plate Materialsmentioning

confidence: 99%

“…They have used a coupling condition between the plate and surrounding air at the plate surface and have shown that the low frequency resonant peaks observed in the surface impedance of the clamped plates with air backing are related to modes of vibration of the plates. Leclaire et al 5 presented a variational method for solving the plate equations for different porous elastic plates with the four edges clamped but have neglected the effect of fluid loading on the plate vibration and have not taken into account external forces other than the excitation terms. Recently Aygun et al 6,7 included the effects of fluid loading on the vibration of clamped, rectangular porous elastic plates by solving the governing equations for flexural vibration.…”

Section: Introductionmentioning

confidence: 99%

Sound absorption by clamped poroelastic plates

Aygun

Attenborough

2008

The Journal of the Acoustical Society of America

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Measurements and predictions have been made of the absorption coefficient and the surface acoustic impedance of poroelastic plates clamped in a large impedance tube and separated from the rigid termination by an air gap. The measured and predicted absorption coefficient and surface impedance spectra exhibit low frequency peaks. The peak frequencies observed in the absorption coefficient are close to those predicted and measured in the deflection spectra of the clamped poroelastic plates. The influences of the rigidity of the clamping conditions and the width of the air gap have been investigated. Both influences are found to be important. Increasing the rigidity of clamping reduces the low frequency absorption peaks compared with those measured for simply supported plates or plates in an intermediate clamping condition. Results for a closed cell foam plate and for two open cell foam plates made from recycled materials are presented. For identical clamping conditions and width of air gap, the results for the different materials differ as a consequence mainly of their different elasticity, thickness, and cell structure.

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“…the Lamé coefficients are frequencyd ependent. Traditional quasi-static or vibrational techniques enable the recovery of these elastic parameters [1,2,3,4] in the lowf requencyr ange (upt o5 00 Hz-1 kHz), butt here is aneed for extension of the accessible frequencyrange. Recently [5,6], the frequencydependence of the elastic parameters of the frame of aporoelastic material wasdetermined in the kHz range from the analysis of the wave propagation in aporoelastic semi-infinite half space (Rayleigh wave), in aporoelastic plate (Lamb waves) and in aporoelastic plate on arigid surface (Lamb-likewaves).…”

Section: Introductionmentioning

confidence: 99%

Study of Circumferential Waves on a Poroelastic Cylinder

Descheemaeker¹,

Glorieux²,

Lauriks³

et al. 2011

Acta Acustica united with Acustica

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SummaryThe dispersion relations of acoustic modes in poroelastic cylinders with and without elastic shell coating are determined and solved. The influence of elastic frame parameters and the Biot parameters on the dispersion curves is studied in the configuration with and without coating. The dispersive Rayleigh and whispering gallery waves are highly sensitive to the density and the shear modulus of the skeleton, opening aperspective for the evaluation of the mechanical parameters of poroelastic materials confined in cylindrical tubes during the manufacturing process. The predicted dispersion curves are validated with experimental results obtained by use of different experimental set-up in the case of aporous circular cylinder.

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The Vibrational Response of a Clamped Rectangular Porous Plate

Cited by 43 publications

References 16 publications

Numerical solution of acoustic scattering by finite perforated elastic plates

Numerical solution of acoustic scattering by finite perforated elastic plates

Sound absorption by clamped poroelastic plates

Study of Circumferential Waves on a Poroelastic Cylinder

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