Random response of periodic structures by a finite element technique

A finite element method is presented for analysing the response of periodic structures to convected random pressure fields. It is shown that the problem reduces to one of finding the response of a single periodic section to a harmonic pressure wave. In this case the inertia, stiffness and damping matrices become functions of the phase difference between the pressures at corresponding points in adjacent sections. The method is applied to a skin-rib type structure.