Vibration Analysis of Circular Clamped FRP Composite Plate Using Bessels Admissible Functions

Abstract

Structural components now-a-days are made of the Composites so knowing the fundamental frequencies and vibration response to various excitations for a given boundary function is paramount. The present work involves extensive study to investigate the free vibration analysis of Glass/Epoxy, Carbon/Epoxy composite plates of solid circular form in clamped boundary condition by using the Bessel functions as admissible functions for the Raleigh-Ritz method. This analytical work is carried out by following the thin plate theory, Hamilton principle is used to obtain the equilibrium equations for the plate. By variable separable Bessel transcendental equations are obtained, the non dimensional frequency parameter, natural frequency of the plate is calculated. The effect of number of layers, stacking laminate sequences variation with natural frequencies, deflection will be studied and the results will be plotted and compared. Matlab code is developed, to validate analytical results and the procedure adopted in the prediction of deflection of clamped circular plates, also to carry out the repetitive and vigorous calculations.