On quasi-Lamb modes in the system "elastic half-space — layer of an ideal compressible fluid"
DOI:
https://doi.org/10.15407/dopovidi2018.02.025Keywords:
dispersion of waves, elastic half-space, layer of the ideal compressible fluid, phase velocity, quasi-Lamb modesAbstract
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.
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