Excitation and propagation of normal modes in a thin cylindrical elastic shell filled with fluid

A solution is obtained for the problem of excitation of a fluid-filled cylindrical elastic shell by a monopole point source. The problem is reduced to a generalized nonself-adjoint boundary-value problem for the inhomogeneous Helmholtz equation with boundary conditions expressed in the form of a system of ordinary differential equations relating the Fourier transforms of the components of the shell displacements and sound pressure at the boundary between the fluid and the shell. The solution of the problem is represented by a normal-mode series. A numerical calculation of the spectrum and amplitudes of axisymmetric, beam, and other normal-mode configurations is carried out on a BESM-6 computer for the approximate theory of thin shells described by Kennard's equations of motion.