Free vibration analysis of graphene oxide powder reinforced nanocomposite plates resting on elastic foundations in thermal environments

This paper deals with the free vibration analysis of embedded plates reinforced with graphene oxide powder (GOP) through Halpin-Tsai micromechanical scheme. The plates are subjected to thermal loadings with various temperature rise such as uniform temperature rise (UTR), linear temperature rise (LTR) and sinusoidal temperature rise (STR). Moreover, the plates are embedded in Winkler-Pasternak elastic foundation in order to improve the natural frequencies of the structure. The plate is reinforced with various functionally graded (FG) distributions through the thickness namely uniform (U), X, V and O in a comparative way in order to find out the most efficient model of GOPs distribution for the purpose of improving vibrational behaviors of the structure. At first, the governing equations of the free vibration analysis are derived by employing a higher-order shear deformation plate theory incorporated with the Hamilton s principle and then solved analytically via Navier s solution. New Obtained results are presented for the thermally affected vibration responses of GOP reinforced nanocomposite plates with respect to different types of thermal loadings. Besides, other detailed parametric studies are depicted to show the influences of different variants on the natural frequency of the nanocomposite plates. The results are exactly interpreted to show the effects of these parameters on the natural frequencies of the structure.

Keywords:

Thermal environment , vibration analysis , graphene oxide powder (GOP) , nanocomposite , refined shear deformation plate theory.