Vibration control of tapered magnetostrictive plate considering shear correction factor

Abstract

In this research, dynamic response of tapered plate made of MsM (magnetostrictive material) is studied for the first time. First-order Shear Deformation Theory (FSDT) is used to derive the governing equations of tapered MsP (magnetostrictive plate) while the thickness varies linearly. To enhance accuracy of the results, shear correction factor is considered and a feedback control system is utilized to investigate the effects of magnetic field on MsP. The five equations of motion that are obtained by Hamilton's principle are solved using Differential Quadrature Method (DQM) and compared with those available in the literature. Results indicate the effect of various parameters such as aspect ratio, thickness ratio, taper ratio, boundary conditions, and the controller effect of velocity feedback gain on the frequency of MsP. These findings can be used for active noise and vibration cancellation systems in many smart structures.