On the quasi-Lamb modes in hydroelastic waveguides

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 4:25-35
https://doi.org/10.15407/dopovidi2018.04.025
Section: Mechanics
Language: Russian
Abstract: 

The propagation of quasi-Lamb waves in the systems "layer of ideal compressible fluid — elastic halfspace" and "elastic layer — half-space of ideal compressible fluid" is studied, by using the threedimensional equations of the 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 the thickness of elastic and fluid layers on the phase velocities and the dispersion of the quasi-Lamb modes in a hydroelastic waveguides is analyzed. Criteria for the existence of the quasi-Lamb waves in hydroelastic waveguides are proposed. The numerical results are presented in the form of plots and analyzed.

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