Space-harmonic analysis of periodically supported beams: response to convected random loading

摘要: Abstract The solution for the response of stiffened beams due to a spatial and temporal harmonic pressure has been obtained in form particular series space harmonics, evolved from considerations progressive wave propagation. superiority this method over classical normal mode approach is indicated. It applied obtain r.m.s. curvature at point on periodically supported beam excited by random acoustic plane or boundary layer fluctuation. results with different numbers terms are compared known closed-form solutions. When seven included, bear good agreement exact as few three yield acceptable accuracy. harmonics can be adapted case orthogonally plates which fields convected across oblique angles direction stiffeners. general should applicable estimation cylindrical structures.