ABSTRACT
The main objective of this chapter is to present a mathematical model for the plates with a nanofiber-reinforced polymer (NFRP) layer resting on the soil medium. The nanofibers in the NFRP layer are made from carbon nanotubes (CNTs), where the effective material properties of the nanocomposite structure are obtained by the Mori–Tanaka model, considering agglomeration effects. The soil medium is simulated with spring constants of the Winker plate model. Based on the sinusoidal shear deformation theory, the energy method, and Hamilton’s principle, the motion equations are derived. Applying the Navier method, the frequency of the structure is calculated analytically so that the effects of the volume percent and agglomeration of the CNTs, soil medium, and the geometrical parameters of structure on the frequency of the system are shown. The results show that considering an NFRP layer leads to a higher frequency for the NFRP thickness–to–plate thickness ratio greater than 0.005.
