On the dispersion of Lamb waves in an elastic layer interacting with the ideal liquid half-space

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 1:29-37
https://doi.org/10.15407/dopovidi2017.01.029
Section: Mechanics
Language: Russian
Abstract: 

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