ABSTRACT
In this project, a vibration and smart control analysis of a plate reinforced by silicon dioxide (SiO2) nanoparticles and a piezoelectric layer embedded in a soil medium is presented. The soil medium is simulated with spring constants. The Mori–Tanaka law is used for obtaining the material properties of the nanocomposite structure and considering agglomeration effects. With considering first-order shear deformation theory, the total potential energy of system is calculated. Using Hamilton’s principle in three displacement directions and electric potential, six coupled equilibrium equations are obtained. Based on an analytical method, the frequency of the system is calculated. The effects of applied voltage, volume percent and agglomeration of SiO2 nanoparticles, soil medium, and geometrical parameters of the structure on the frequency of system are shown. The results show that by applying a negative voltage, the frequency of the structure is increased.
