Free vibration analysis of sandwich plates with magnetorheological smart fluid core by Using modified shear deformation theory

In this paper, the free vibrations of a three-layer sandwich plate with magneto-rheological fluid (MR) core as a smart structure using Trigonometric Shear Deformation Theory (TSDPT) are investigated. The equations of motion are obtained using the Hamilton principle and solved using the Galerkin residual weight method. The complex shear modulus of the MR material in the pre-yield region was described by complex modulus approach as a function of magnetic field intensity. Primary attention is focused on the effects of magnetic field magnitude, geometric aspect ratio, and MR core layer thickness on the dynamic characteristics of the sandwich plate. When an electric field is applied, the damping of the system is more effective. After validation of the present study with the available results in the literature, the effects of the natural frequencies and loss factors on the dynamic behavior of the sandwich plate are examined and discussed. The results show that increasing the intensity of the magnetic field increases the frequency and depreciation coefficient of each mode. Furthermore, increasing the thickness of the fluid has a direct effect on increasing the depreciation coefficient and decreasing the frequency. With the increasing use of smart structures, it is hoped that the findings of this study will make engineering applications more effective.