Wave dispersion characteristics of graphene reinforced nanocomposite curved viscoelastic panels

摘要

This paper tries to investigate the wave phenomenon in nanoshell made of graphene nanoplatelets (GNPs) reinforced nanocomposites. The second-order shear deformation theory in curvilinear coordinate is utilized to develop the doubly-curved shell as a continuous structure and the general nonlocal strain gradient theory is adopted to calculate nonlocality and strain gradient size-dependency. The effective material properties are estimated through the Halpin-Tsai micromechanical model and a modified rule of mixture. A virtual work of Hamilton statement is employed to obtain the governing motion equations and then a harmonic solution based on an analytical procedure is developed to find the wave response. Afterwards, a parametric study is performed to analyze the effects of the linear spring and damper coefficients, small-scale parameters, different curves, radius to thickness ratio, GNP's weight fraction as well as its number of layers on the phase velocity response of the GNPs reinforced doubly curved nanoshell with various shape panels resting on a visco-Winkler medium.