This article is cited in 1 scientific paper (total in 1 paper)
The transmission of sound through an elastic plate with an inhomogeneous coating adjoining viscous liquids
L. A. Tolokonnikov, T. S. Nguyen
Tula State University (Tula)
In paper the problem of the reflection and transmission of a plane
sound wave through a homogeneous elastic plate with an continuously
inhomogeneous plate elastic coating adjoining viscous liquids is
considered. It is believed that heterogeneity laws of a coating
are described by differentiable functions.
The propagation of small perturbations in a viscous fluid in the
case of steady state oscillations is described by scalar and vector
Helmholtz's equations. The propagation of elastic waves in a uniform
isotropic elastic plate is described by two wave equations for
longitudinal and transverse waves. Oscillations of an inhomogeneous
isotropic elastic coating are described by general motion equations
of the continuous medium.
The boundary-value problem for the system of ordinary second order
differential equations is constructed for determination of the
displacement field in inhomogeneous coating.
An analytical description of the reflected and transmitted through
the plate acoustic fields is obtained.
The results of numerical calculations of dependences of coefficients
of reflection and transmission of longitudinal waves from the angle
of incidence of plane wave are presented.
reflection and transmission of sound waves, homogeneous elastic plate, continuously inhomogeneous coating.
|Russian Science Foundation
|The study was carried out for by the grant of Russian scientific Foundation (project 18-11-00199).
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L. A. Tolokonnikov, T. S. Nguyen, “The transmission of sound through an elastic plate with an inhomogeneous coating adjoining viscous liquids”, Chebyshevskii Sb., 20:2 (2019), 311–324
Citation in format AMSBIB
\by L.~A.~Tolokonnikov, T.~S.~Nguyen
\paper The transmission of sound through an elastic plate with an inhomogeneous coating adjoining viscous liquids
\jour Chebyshevskii Sb.
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