Vibration Analysis of Rectangular Magnetostrictive Plate Considering Thickness Variation in Two Directions

In this paper, vibration analysis of tapered magnetostrictive plate (MsP) is studied for the first time. Magnetostrictive material (MsM) is a component of smart material due to magneto-mechanical coupling in stress-strain relations or its reciprocal nature. A feedback control system is utilized in order to investigate the magnetic field intensity using velocity feedback gain parameter. The thickness of rectangular MsP varies linearly in both x- and y-directions. First order shear deformation theory (FSDT) with considering shear correction factor is used to derive the governing equations of tapered MsP including five equations and five unknowns that solved by differential quadrature method (DQM). Results indicate the effect of various parameters such as aspect ratio, thickness ratio, x- and y-taper ratios and the controller effect of velocity feedback gain on the frequency of MsP. The results are also compared by those available in the literature. These findings can be used to vibration cancellation systems and utilized for designing the magnetostrictive actuator, motor, transducer and sensors.