Study of hygrothermal environment impact on the vibration behavior of thick nanocomposite beams reinforced with multilayer Graphene Nanoplatelet

This paper aims to investigate the free vibration of a multilayer piezo-electric beam strengthened with functionally graded graphene platelets (FG-GPLRC) and subjected to a consistent increase in temperature and humid external loads. Graphene platelets (GPLs) are supposed to be dispersed either uniformly or layerwise form in the polymeric matrix, with a variety of patterns configurations taken into consideration. The rule of mixing is employed to evaluate Poisson's ratio and mass density features. In order to estimate the efficient Young's modulus, the modifier Halpin-Tsai model has been employed. The whole system of governing equations for motion were achieved by exploiting Hamilton’s concept based on Timoshenko beam theory (TBT). After that, these equations were solved using the Navier analytical solution-based Fourier series with high accuracy. Next, to examine the effects of several elements, including graphene weight percentage and their distribution shape, length by thickness ratio, externally provided thermal-humidity fields, on the dynamic of nanocomposite reinforced beams.