Краткое описание

The data about properties of normal waves in a composite elastic-liquid cylindrical waveguide are presented. Shear wave velocity in the cylinder's material is supposed to be less than wave velocity in the liquid (perfect fluid) filling the waveguide. The dispersion properties of the normal waves are determined on the basis of the dispersion equation analysis. The complete set of equations of the dynamic elasticity theory is used to describe the elastic cylinder's deformation. The waves in the liquid filling the waveguide are described by the Helmholtz equation. Such approach provides the effective analysis of interaction of wave motions in the elastic shell and liquid core for wide frequency and wavelength ranges. The data about the kinematic and power characteristics of the normal waves are presented. The technique for systematizing the data about the dispersion properties of the normal waves is offered using the idea of the partial subsystems. The obtained results are compared with the data for a waveguide with sufficiently rigid elastic cylinder (the transverse wave velocity in the cylinder's material exceeds the sound speed in the liquid). The essential differences in evolution of wave coupling effects in the cylinder and the liquid for the cases of rigid and compliant materials are shown.