Open Access

ARTICLE

Numerical Solutions for Free Vibration Analysis of Thick Square Plates by the BEM

W.L.A. Pereira¹, V.J. Karam², J.A.M. Carrer³, C.S.G. Monteiro¹, W.J. Mansur¹

1 Programa de Engenharia Civil, COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Brazil.
2 Laboratório de Engenharia Civil, Universidade Estadual do Norte Fluminense Darcy Ribeiro, Brazil.
3 Programa de Pós-Graduação em Métodos Numéricos em Engenharia, Universidade Federal do Paraná, Brazil.

Computer Modeling in Engineering & Sciences 2013, 96(2), 117-130. https://doi.org/10.3970/cmes.2013.096.117

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.

---

Keywords

---