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In this article, the effects of important physical and geometrical parameters on free vibration and impact response of three-layer sandwich plate with magneto rheological smart core were investigated. The natural frequencies and structural loss factors for the first four mode shapes and different core thicknesses, magnetic fields and aspect ratios, were obtained. The magneto rheological (MR) material shows different properties when it was subjected to different magnetic fields. The governing equations of motion were obtained using Hamilton's principle. The results were obtained by the systematic analytical solution. Using the two degrees of freedom mass-spring model, the contact force function can be obtained analytically. The obtained natural frequency from Eigen value problem was used for calculating of equivalent mass of the plate in spring mass model. The results show that with systematic variation of magnetic field and with increasing the ratio of core thickness to the plate thickness and also with increasing the ratio of length to the plate thickness, the stiffness, structural loss factor coefficient and maximum contact force can be changed and controlled, respectively. [ABSTRACT FROM AUTHOR]