On the localization of surface waves in the layer of an ideal compressible fluid interacting with the elastic half-space

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 1:22-28
https://doi.org/10.15407/dopovidi2018.01.022
Section: Mechanics
Language: Russian
Abstract: 

The propagation of quasi-Lamb waves in the system "layer of ideal compressible liquid — elastic half-space" is studied, by using the three-dimensional equations of the classical elasticity theory for a solid body and the linearized Euler equations for a fluid. The dispersion curves for normal waves over a wide range of frequencies are constructed. The influence of the thickness of the layer of an ideal compressible fluid on the dispersion of the phase velocity of quasi-Lamb modes in a hydroelastic waveguide is analyzed. The localization properties of the surface waves in elastic-fluid waveguides are studied. The numerical results obtained are presented in the form of plots and analyzed.

Keywords: dispersion of waves, elastic half-space, layer of an ideal compressible fluid, localization of surface waves, phase velocity, quasi-Lamb modes
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