Vibration Analysis of Polymer Nanocomposite-Magnetostrictive Faced Sandwich Plate Including Feedback Control System

In this research, the free vibration of a sandwich plate made of smart magnetostrictive face sheets and polymer composite core is studied. The effective elastic properties of carbon nanotube-reinforced composite are obtained by the rule of the mixture and micromechanical approach. A feedback control system follows the magnetization effect of Terfenol-D films on the vibration characteristics of a sandwich plate. Considering velocity feedback control gain value, the dimensionless frequency of sandwich plate can be changed to desired values due to magneto-mechanical coupling in magnetostrictive materials. The equations of motions are derived using Reddy’s third-order shear deformation theory, energy method, and Hamilton’s principle. The differential quadrature method (DQM) as a numerical method is used for calculating the vibration frequency of the sandwich plate. This numerical method presents the optimal results using weighting coefficients. The findings of this study show the effect of the vibration control system and geometrical properties of the composite sheet on vibration frequency of structures. These findings can be used in marine, aerospace, and civil industries.