Sound scattering on an elastic finite cylindrical shell with an elastic partition

This article discusses the application of the method of integral equations for the numerical evaluation of sound scattering characteristics by a finite elastic cylindrical shell placed in a liquid medium and separated by one or more elastic partitions. The shell has hemispherical ends and is also filled with a liquid medium. The scattered sound field is determined based on the combined use of Kirchhoff-type integral equations and an integral equation for the displacement vector of an elastic medium obeying the Lame equation. Boundary conditions for stresses and displacements are formulated for each of the shell's contact surfaces with the external and internal media. The approach under consideration is based on the numerical transformation of continuous integral equations into a system of linear algebraic equations using curved isoparametric boundary elements. Based on the numerical results, a comparative assessment of the effect of the partition on the scattered sound field for various wave sizes of the shell and location angles was obtained.