V.T.Grinchenko, G.L.Komissarova Features of wave propagation in liquid-filled cylinders with compliant walls |
Acoustic bulletin, Vol. 4 ¹ 3, (2001) |
| Data concerning properties of normal waves in a compound elastic-liquid cylindrical waveguide are presented. It is supposed, that the speed of shear waves in a material of the cylinder is less than the speed of waves in liquid (perfect fluid) that fills the waveguide. The dispersion properties of normal waves are determined on basis of the dispersion equation analysis. The complete set of equations of the dynamic elasticity theory was used to describe deformation of the elastic cylinder. The waves in the filling liquid were described by the wave equation. Such approach has allowed to conduct the analysis of interaction of wave motions in an elastic shell and liquid core in a broad band of frequencies and wavelengths. The data about the kinematic and power characteristics of normal waves are presented. The technique of systematization of data about the dispersion properties of normal waves is offered. The method uses the idea of partial subsystems. The obtained results are compared to the data for a waveguide with rather rigid elastic cylinder (speed of shift waves in the material of the cylinder exceeds the sound speed in the liquid). The essential differences in development of the wave coupling effects in the cylinder and liquid for cases of rigid and complaint materials are shown. |
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KEY WORDS: elastic-liquid waveguide, dispersion characteristics, partial subsystem |
| TEXT LANGUAGE: Russian |