On quasi-Lamb modes in the system "elastic half-space — layer of an ideal compressible fluid"

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 2:25-33
Section: Mechanics
Language: Russian

The propagation of quasi-Lamb waves in the system "layer of ideal compressible fluid — elastic half-space" is studied, by using the three-dimensional equations of the classical elasticity theory for a solid body and the lineari zed 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 a layer of the ideal compressible fluid on the phase velocity dispersion of the quasi-Lamb modes in a hydroelastic waveguide is analyzed. A criterion for the existence of the quasi-Lamb waves in hydroelastic waveguides is proposed. The numerical results obtained are presented in the form of plots and analyzed.

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