Effect of humid thermal conditions and mixed boundary conditions on dynamic characteristics behavior of thick nanocomposite beams reinforced Graphene Nanoplatelet

Functionally graded nanocomposite materials employed in actual modern structural components are subject to harsh hygro-thermal conditions, which can undesirably impact the stiffness and safety of these structures. As a result, a precise assessment of surrounding exposure is required to determine the extent of their harmful impact on these composite structures. In the actual paper, the combined effects of temperature and moisture on the linear free vibration behaviors of Graphene nanoplatelets strengthened multiple-layer polymer composite beams. The nanofillers reinforcement are supposed to be dispersed irregularly along the thickness path, namely a uniform distribution (UD) as well as X- and O- functionally graded (FG) distributions. In order to take into consideration, the impacts of GPL shape and dimensions, the extended Halpin-Tsai micromechanics model is utilized to estimates the Material characteristics of the whole GPL/polymer composites. Furthermore, the concept of Hamilton’s principle is used to construct the linear governing equations of motion within the context of first order shear deformation beam concept. The solving process is done by the semi analytical procedure using Galerkin method in which various boundary conditions can be considered. After that, the examination on the effects of many parameters on the natural frequency of the nanofillers GRLC beams, including layer numbers, graphene dispersion pattern, weight percentage and its geometrical parameters, externally supplied thermal with moisture fields, and boundary conditions, has been provided.