Frequency-Domain Spectral Element Model for the Vibration of a Thin Plate

초록

In this study, we propose a spectral element model for the finite rectangular plate elements with arbitrary boundary conditions. The spectral element model is developed by using boundary splitting method and spectral super element method in combination. The spectral element model introduced in the authors’ previous study was valid only to the finite rectangular plate elements whose four corner-nodes are fixed. However, the spectral element model proposed in this study can be applied to any finite rectangular plate element with arbitrary boundary conditions. The proposed spectral element model is developed by modifying the boundary splitting method used in the previous study so that four corner-nodes of a finite rectangular plate element become active. The accuracy and computational efficiency of the proposed spectral element model are validated by the comparison with exact solutions and the results obtained by the standard finite element method.