Abstract
Current investigation deals with the forced vibration response of a composite laminated plate which is reinforced with graphene platelets (GPLs). The weight fraction of GPLs in each layer may be different which results in a piecewise functionally graded (FG) media. The elastic properties of the composite media are obtained using the Halpin-Tsai approach. The motion equations of the plate are established with the aid of the Ritz method where the shape functions are presented using the Chebyshev polynomials. The time dependent system of equations is solved using the Newmark time marching scheme. The established system of equations may be used for the dynamic response of an FG-GPL reinforced composite rectangular plate which is subjected to a moving load with arbitrary path and velocity. Numerical results are given to show the influence of boundary conditions, GPL weight fraction and GPL distribution profile on the dynamic response of the plate. It is shown that, with increasing the weight fraction of the GPLs, the dynamic deflections in the plate decrease. Also with introduction of a proper pattern where the surfaces at top and bottom have the highest weight fraction of GPLs, the dynamic deflection of the plate may be decreased significantly.
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