ABSTRACT
In this chapter, a vibration analysis of a plate reinforced by silicon dioxide (SiO2) nanoparticles resting on a soil bed is investigated. The soil medium is simulated with spring constants. Furthermore, the Mori–Tanaka law is used to obtain the material properties of nanocomposite structure and considering agglomeration effects. Using third-order shear deformation theory or Reddy theory, the total potential energy of the system is calculated, and by means of Hamilton’s principle, the coupled motion equations are obtained. Also, based on an analytical method, the frequency of the system is calculated. The effects of the volume percent and the agglomeration of SiO2 nanoparticles, the soil medium, and the geometrical parameters of the structure on the frequency of system are shown. The results show that by increasing the volume percent of SiO2 nanoparticles, the frequency of the structure is increased.
