عنوان مقاله [English]
In this paper, an exact solution is presented for free vibration analysis of sandwich plates with magneto-rheological (MR) core and polymer-based face sheets reinforced with graphene nanoplatelets (GPLs) resting on a visco-Pasternak foundation. The set of the governing equations of motion and boundary conditions are derived using Hamilton’s principle and so, are solved analytically utilizing Navier’s method. The effects of various parameters on the natural frequencies and corresponding loss factor are investigated including magnetic field intensity, the aspect ratio of the sandwich plate, the thickness of the MR core and GPL-reinforced face sheets, mass fraction, aspect ratio, thickness, and distribution pattern of the GPLs, and Winkler, Pasternak, and damping coefficients of the foundation. Finally, it is shown that by increasing the magnetic field intensity from zero to a special value the natural frequencies increase and more increase in the magnetic field intensity has no remarkable effect on the natural frequencies.