Numerical Solutions for Free Vibration Analysis of Thick Square Plates by the BEM
W.L.A. Pereira, V.J. Karam, J.A.M. Carrer, C.S.G. Monteiro andW.J. Mansur

doi:10.3970/cmes.2013.096.117
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 96, No. 2, pp. 117-130, 2013
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Keywords BEM, free vibration, thick square plate, very large floating structure.
Abstract

In this work, the BEM is applied to obtain the numerical solutions for free vibration analysis of thick square plates with two edges simply supported or clamped, and the other two edges free. A formulation based on Reissner’s theory is used here, which includes the contribution of the additional translational inertia terms to the integral equation of displacements and internal forces. The boundary element method is used to discretize the space, where it is employed the static fundamental solution. In literature, the responses for the kind of problem addressed here are very important in the hydroelastic analysis of very large floating structures (VLFS) which are commonly modeled as plates with free edges. To verify the accuracy this formulation some analyses are presented at the end of the paper.

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