<p>Analytical approach for calculating the acoustic field in the fluid-filled cylindrical cavity containing a finite number of spherical inclusions has been proposed. Boundary-value problems of hydroelasticity for solid, liquid (gaseous), and encapsulated inclusions have been formulated using the ideal compressible fluid model and the linear theory of thin elastic shells. Using the method of separation of variables in combination with translational addition theorems for bodies of cylindrical and spherical types, the general solution of the boundary-value problem has been expressed in the coordinate system of each body with the boundary conditions satisfied. Consequently, the problem has been reduced to infinite systems of linear algebraic equations which can be solved by the truncation method.</p>

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Diffraction Processes in Cylindrical Cavity with Fluid and Spherical Inclusions

  • V. D. Kubenko

摘要

Analytical approach for calculating the acoustic field in the fluid-filled cylindrical cavity containing a finite number of spherical inclusions has been proposed. Boundary-value problems of hydroelasticity for solid, liquid (gaseous), and encapsulated inclusions have been formulated using the ideal compressible fluid model and the linear theory of thin elastic shells. Using the method of separation of variables in combination with translational addition theorems for bodies of cylindrical and spherical types, the general solution of the boundary-value problem has been expressed in the coordinate system of each body with the boundary conditions satisfied. Consequently, the problem has been reduced to infinite systems of linear algebraic equations which can be solved by the truncation method.