Simulation analysis of vibration response for coupled plate-beam
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Abstract:
Coupled plate-beam structure is a typical structure whose vibration performance is in mid-frequency.Aiming at the shortcomings of the existing deterministic numerical methods in the prediction of the mid-frequency,we proposed a method to predict the vibration response of coupled plate-beam structure on the basis of wave-based method (WBM).First,based on the vibration response of Kirchhoff plate and Euler-Bernoulli beam,the system matrix of coupled plate-beam structure was deduced by using the weighted residual method using the transversal displacement and the torsional angle between plate and beam as the coupling variable.Then the wave-based mathematical model for coupled plate-beam structure was established.Finally,the coupled structure of rectangular plates with four sides clamped and a slender beam was taken as an example to validate the proposed method.The contour of the coupled structure at100 Hz and its frequency response from 50-500 Hz show that compared with finite element method (FEM),the wave-based model for coupled plate-beam structure is more efficient in higher frequency range and has higher convergence.At the same computational accuracy,its computational cost (degree of freedom of model and computational time) decreases significantly.
