Wavenumber-harmonic analysis of a periodically supported beam under the action of a convected loading

The vibro-acoustic response of an infinite, fluid-loaded and periodically s upported Timoshenko beam under a convected harmonic loading has been obtain ed in a mathematical form Instead of considering the dynamics of a single s ubstructure alone, an essentially different technique named as wavenumber-h armonic method for the analysis of periodic structures is presented. The me thod involves the use of Fourier transform, then the associated wavenumber response is expressed in a series form that represents wave components of t he flexural motion. This approach differs from the space-harmonic analysis which describes the beam motion br spatial domain. With this approach the p eriodic boundary conditions and the phase relation between two substructure s are not required. Furthermore, incorporating the heavy fluid loading effe ct is easy. This method can be used conveniently to calculate the sound pow er radiated from a fluid-loaded infinite beam, which is subject to either a moving point or distributed loading. The influence of periodic supports on the sound radiation has also been examined for different speeds of convect ed loading. [S0739-3717(00)01002-3].