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Forced Vibration and Energy Flow Analysis of Plate Assemblies in Symplectic Space

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Indexed by:会议论文

Date of Publication:2014-07-13

Included Journals:EI、Scopus

Page Number:485-495

Abstract:The free wave propagation and forced vibrations of rectangular thin plate assemblies are investigated by using the symplectic method. Initially, the governing equations of motion of the plates are introduced into the symplectic dual system, and the wave propagation parameters, as well as wave shapes, can be founded by solving the symplectic eigenvalue problem. The responses of the plates described in physical domain can be then transformed into the wave coordinates. The amplitudes associated with the mode shapes can be obtained by solving the equations involving excitation, scattering and propagation. Superimposing the wave amplitudes gives the physical responses. The method is applied to the forced vibration of a built-up structure consisting of three directly connected plates and the results are compared with those yielded by the ABAQUS finite element software. A significant improvement of accuracy and computational efficiency is achieved. The time-averaged energy and power flow for the example structure are also obtained and analyzed. ? 2014 American Society of Civil Engineers.

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