On the acoustic waves in a layer of a viscous fluid interacting with the elastic half-space

1Guz, AN, 1Bahno, AM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 6:40-48
Section: Mechanics
Language: Russian
Abstract: 

The problem of acoustic wave propagation in a layer of a viscous compressible fluid that interacts with the elastic half-space is considered. The study is conducted on the basis of the three-dimensional linear equations of the classical elasticity theory for a solid body and on the basis of the three-dimensional linearized Navier—Stokes equations for a viscous compressible fluid. The problem formulation and the approach based on the utilization of the representations of general solutions of the linearized equations for elastic solids and liquids are applied. A dispersion equation, which describes the propagation of harmonic waves in a hydroelastic system, is obtained. The dispersion curves for normal waves over a wide range of frequencies are constructed. The influence of the thickness of the layer of a viscous compressible fluid on the phase velocities and the attenuation coefficients of acoustic waves is analyzed. It is shown that the influence of the viscosity of a fluid on the wave process parameters is associated with the localization properties of waves. The approach developed and the results obtained make it possible to establish limits for the wave processes, within which the model of an ideal compressible fluid can be applied. The numerical results are presented in the form of graphs, and their analysis is given.

Keywords: acoustic waves, attenuation coefficient, elastic half-space, layer of a viscous compressible fluid, phase velocity
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