Vibration Analysis of Shearable Composite Annular Plates Reinforced by Graphene Nanoplatelets Using the Differential Quadrature Method

A numerical analysis of the vibration problem for the annular plates from functionally graded graphene-platelets-reinforced composites (FG-GPLRC) was carried out. Since the amount of reinforcing platelets was different in different layers of the plates, they had a stratified structure. Based on Mindlin’s theory of moderately thick plates, the differential quadrature method (DQM) was used to study their fundamental frequencies. The first five calculated natural frequencies showed that this method gives results rather well agreeing with data reported in the scientific literature. The natural frequencies of the composite annular plates were studied considering their different geometric parameters: ratios of their external dimensions, GPL weight fractions, GPL distribution patterns, and GPL dimension ratios.