| Energy Finite Element Method has become an essential method using to predict mechanical vibration and noise, for its advantages such as ubiquity in frequencies ranging from medium to high, and the ability that it can predict the vibration responses at any point we want, compared to the Finite Element Method and Statistical Energy Analysis. It took some different coupled-plate structures as the subjects in this paper which is supported by the project of National Natural Science Foundation of Chinese (NSFC)"The Intelligent Control Research of Complicated Flexible Vibration System Based on Power Flow Finite Element Method"(No.50805088) and Foundation of State Key Laboratory of Automobile Dynamic Simulation at Jilin University "Active control of the vibration and noise of vehicle cabs based on power flow finite element analysis"(No.20091110). It focused on the research on vibration of coupled-plate structures using Energy Finite Element Method. The major contents of this paper are listed as follows.The flexural and in-plane wave equations of thin plate, which can provide the theory basis for building the energy balance equations and energy transfer coefficients, have been deduced. And, the energy transfer coefficients of different coupled-plate structures with different incident angle have been derived. The results showed that there was waveform conversion at coupled lines. And the energy transfer coefficients changed with the incident angle. It obtained the coupled matrices of reinforced beam-plate coupled structures and L-shaped plates based on the energy transfer coefficients. The global matrix has been assembled in this paper. And the energy density of structures was calculated with the Matlab software.This Energy Finite Element Method was successfully applied to some practical engineering structures. Through numerical simulations, the energy density and the intensity fields of flexural and in-plane waves of the structures were obtained. |
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