Dispersion of Quasi-Scholte Waves in a Hydroelastic System Consisting of an Orthotropic Plate and a Compressible Fluid Layer

Abstract

The propagating of quasi-Scholte waves in a hydroelastic system consisting of an orthotropic plate and a compressible inviscid fluid layer were investigated. There are considered the systems in which the motion of liquid layer surface not in contact with the plate is restricted by a rigid wall (the so-called rigid wall case) and where it is not restricted (the so-called free surface case). The motion of the plate is described by the exact equations and relations of elastodynamics for orthotropic bodies, and the flow of the fluid is linearized by Euler equations. The solution of the corresponding field equations is found analytically, and the dispersion equation for the investigated waves is obtained from the corresponding boundary and compatibility conditions. The dispersion curves for the corresponding quasi-Scholte waves are found numerically solving the dispersion equation. These curves are determined for different values of the mechanical constants that characterize the anisotropy of the plate material. Based on these results, specific conclusions are drawn about the influence of mechanical constants of the plate and the acoustic properties of the components of the hydroelastic system on the propagation speed of quasi-Scholte waves.