Effect of a viscous liquid on the dispersion of waves in an elastic layer that interacts with a viscous compressible liquid layer.

Abstract

On the basis of the three-dimensional linearized Navier-Stokes equations for a layer of a viscous compressible fluid and linear equations of the classical elasticity theory for a solid layer, dispersion curves have been constructed, and the propagation of harmonic waves over a wide frequency range has been investigated. The effect of fluid viscosity, the thickness of the elastic and liquid layers on phase velocities, attenuation coefficients, and the mode dispersion for a hydroelastic system with a thick liquid layer is analyzed. It is shown that a viscous liquid for a number of modes causes a change in the critical frequencies, the displacement of the dispersion curves, and also leads to the appearance of new modes. Localization properties of quasi-lemma modes have been established. The numerical results are presented in the form of graphs and their analysis is given.