V.T.Grinchenko, G.L.Komissarova Properties of normal waves in the elastic-liquid cylindrical waveguides |
Acoustic bulletin, Vol. 3 ¹ 3, (2000) |
| The properties of normal waves in the thin-walled elastic cylinder filled by an ideal liquid are considered. The analysis is carried out in wide range of frequencies. To describe the wave field in elastic cylinder a complete set of equations of dynamic theory of elasticity is used. This allows to study comprehensively the effects of interaction between waves in an elastic body and liquid. Basic attention is given to cases concerning the thin cylinders. Arrangement of the numerical data is carried out on basis of known properties of partial subsystems. Manifestation of the interaction effects and the physical properties of normal waves in compound waveguide become sufficiently informative when the empty elastic cylinder and cylindrical acoustic waveguides with soft or rigid external boundaries are chosen as partial subsystems. Use of the soft boundary model is justified in case of thin-walled elastic cylinder and low enough frequencies. At increase of rigidity of the cylinder or increase of frequency the waveguide with rigid wall is more suitable as a partial subsystem. The detailed analysis of the kinematic and power characteristics of normal waves is given. Their change depending on geometrical and physical parameters shows a role of effects of elastic-liquid interaction in compound waveguides. The special attention is given to the lowest normal waves that have some specific properties and are most strongly subjected to influence of the interaction between the solid and fluid parts of the waveguides. |
|
KEY WORDS: elastic-liquid waveguide, cylindrical shell, elastic-liquid interaction, normal waves |
| TEXT LANGUAGE: Russian |