ABSTRACT

This chapter analyzes the thermo-viscoelastic vibrational characteristics of FG-GOR nanocomposite plates. The plate is assumed to be constructed from FG nanocomposites and considered to be embedded on a visco-Pasternak medium. The equivalent material properties of the structure will be developed using the well-known Halpin-Tsai micromechanical method for a single-layered plate. Thereafter, the dynamic form of the principle of virtual work will be extended for a refined plate model to extract the set of coupled governing equations of the plate's motion. Afterward, the Navier-type solution will be used to generate the natural frequencies of the nanocomposite plate once all of the edges are assumed to be simply supported. The results of this chapter reveal a critical dependency of the system's frequency on the viscose coefficient of the viscoelastic substrate as well as thermal gradients.