Abstract

The coupled elastic and acoustic response of a system of cylindrical and toroidal shells enclosing an acoustic medium is presented in two parts. The first part develops the theory to model the elastodynamics of cylindrical and toroidal segments of shell. The elastic simulation is based on transfer matrices while the acoustic simulation adapts a Green’s function and curved surface elements. Equilibrium of the acoustic pressure and internal elastic reactions of the shell and compatibility between the acoustic and elastic accelerations at the shell–fluid interface determine the coupled response. The second part discusses numerical results based on the theory for both shell configurations with a plane of symmetry as well as asymmetric ones.

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