Scattering from a ribbed finite cylindrical shell with internal axisymmetric oscillators

A theoretical formalism is elaborated to determine the acoustic field scattered from a finite cylindrical shell reinforced by a set of ribs with internal axisymmetric oscillators, the locations and properties of which can vary arbitrarily along the cylinder axis. Analytical expressions are derived for the scattered pressure and approximate expressions are proposed to calculate the backscattered field. Some applications have been carried out to investigate the problem of backscattering from a periodically ribbed finite cylindrical shell in the presence of rib aperiodicity or axisymmetric internal oscillators. The modifications of the main features associated with scattering from helical and Bloch–Floquet waves are examined and numerical results are presented with respect to the mean rib spacing and to the total mass of the internal structures.