Response of a multi-layered infinite cylinder to two-dimensional pressure excitation by means of transfer matrices

Abstract

A 6×6 transfer matrix is presented to evaluate the response of a multi-layered infinitely long elastic cylinder, imbedded in a fluid and enclosing another fluid, to a given two-dimensional pressure excitation on the outside or inside, or alternatively to evaluate the acoustic pressure distribution excited by the radial velocity components of the radiating surface. It is shown that the transfer matrix presented is a general case embodying the transfer matrix of one-dimensional pressure excitation due to a normal incident wave. It is also shown that the transfer matrix can be effectively used to obtain the scattering coefficient and noise reduction of a multi-layered cylinder for the case of oblique incidence of a plane wave. Numerical results for the scattering form function and noise reduction of a multi-layered infinite cylinder are given to illustrate the effect of two-dimensionality (angle of incidence), and layer material characteristics.