The Influence of the Surface Density of Thermally Expanded Graphite Sheets on the Acoustic Wave Transmission

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Abstract

The paper presents the results of experimental and theoretical studies of the influence of the surface density of a thin porous sheet of thermally expanded graphite on the transmission coefficient of the acoustic wave. The possibility of using the theory of thin films to describe the processes of transmission of acoustic waves through porous sheet in the field of low frequencies and small thicknesses has been proven. The influence of the operating frequency on the sensitivity of the transmission coefficient to the surface density of the sheet was assessed.

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About the authors

O. V. Muravyeva

Kalashnikov Izhevsk State Technical University; Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences

Author for correspondence.
Email: pmkk@istu.ru
Russian Federation, Izhevsk; Izhevsk

L. A. Denisov

Kalashnikov Izhevsk State Technical University

Email: pmkk@istu.ru
Russian Federation, Izhevsk

O. P. Bogdan

Kalashnikov Izhevsk State Technical University

Email: pmkk@istu.ru
Russian Federation, Izhevsk

A. V. Blinova

Kalashnikov Izhevsk State Technical University

Email: pmkk@istu.ru
Russian Federation, Izhevsk

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Supplementary files

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2. Fig. 1. Scheme for determining the transparency coefficient along the normal (a) and at an angle to the surface (b); photo of the installation (c)

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3. Fig. 2. Experimental dependences of the transparency coefficient on the sheet density at its different thicknesses

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4. Fig. 3. Experimental dependence of the transparency coefficient on the surface density (a); on the generalised parameter (b)

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5. Fig. 4. Experimental dependences of the transparency coefficient on the input angle for samples No. 1 and No. 3

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6. Fig. 5. Formulation of the problem of a plane wave travelling through a thin layer

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7. Fig. 6. Dependence of amplitudes (a, b) and phases (c, d) of transparency coefficients D and reflection coefficients R on fh for sample No. 1 at velocity C2 = 330 m/s (a, c) and velocity C2 = 1470 m/s (b, d)

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8. Fig. 7. Dependence of the transparency coefficient on frequency when the Cl velocity is changed (ρ = 643 kg/m3, h = 1.5 mm) (a); when the sample thickness is changed (Cl = 500 m/s, ρ = 1147 kg/m3) (b); when the sample density is changed (Cl = 500 m/s, h = 1.5 mm) (c)

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9. Fig. 8. Theoretical dependence of the transparency coefficient on the surface density ρh (a); on (ρh)-1 (b)

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10. Fig. 9. Theoretical dependence of the transparency coefficient on the angle of incidence for samples No. 1 and No. 3

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11. Fig. 10. Theoretical dependence of the sensitivity of the SD of the transparency coefficient on the surface density ρh in different frequency ranges

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12. Fig. 11. Theoretical dependence of the sensitivity of the transparency coefficient to surface density (ρh)-1 on frequency

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13. Fig. 12. Dependences of the change in the amplitude ΔU of the passed signal obtained during calibration (formula (12)) and the change in the transparency coefficient ΔD obtained during modelling on the change in the density Δρ

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