ASPECTS CONCERNING THE MODAL ANALYSIS OF THE PLATES MADE OF SYMMETRIC LAMINATED COMPOSITE MATERIAL

Abstract

The paper shows some theoretical aspects concerning the analytical modelling of the dynamical behaviour of a composite plate (free vibrations, composite plate with clamped edges). To simplify the mathematical model, only the case of the plate made of a symmetric laminated composite material is considered. Beginning from the equation of motion, the modal analysis consists in seeking of both natural frequencies and natural mode shapes of vibrations to completely describe the dynamical behaviour of such a composite plate. Then, the model is used to analyse the dynamical behaviour of a plate made of an epoxy resin unidirectional reinforced with continuous E-glass fibres. From boundary conditions point of view, the work analyses only the case of all edges embedded. Finally, the results obtained in case of the particular plate involved, will be compared with the results obtained by finite element analysis (FEA).The small values of the error shows the accuracy of the numerical model proposed to analyse dynamical behaviour of any plate made of laminated composite material.