| Summary: | 博士 === 國立中正大學 === 機械系 === 88 === ABSTRACT
The vibro-acoustic response of an infinite, fluid-loaded, periodically supported beam under a convected harmonic loading has been investigated. A new method, named wavenumber harmonic analysis, is proposed to formulate the vibro-acoustic model. This method involves the use of spatial Fourier transform, and then the associated wavenumber response is expressed in a series form. This series represents wave components of the flexural motion that characterizes the vibro-acoustic behavior of the periodic supported beam. This approach differs from the space-harmonic analysis, which describes the beam motion in a spatial domain. Instead of considering the dynamics of a single substructure as the space harmonic method, the proposed formulism does not require the information of the phase relation between two substructures. Furthermore, the fluid loading effect is easy to be incorporated and the sound power radiated from a fluid-loaded, infinite, periodically supported beam subjected to a moving load can be calculated conveniently. Numerical examples including vibro-acoustic analysis of fluid-loaded, periodically supported Bernoulli-Euler and Timoshenko beams, and beams on elastic foundation are demonstrated to illustrate the theoretical predictions.
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