Large amplitude vibration characteristic of the sandwich nanocomposite doubly curved shells

Abstract

This paper investigates large amplitude vibration responses of a sandwich nanocomposite doubly curved shell composed of a honeycomb core integrated with graphene nanoplatelets reinforced curved face sheets. The kinematic relations are developed with accounting von Karman nonlinear strain components and shear deformable model. The large amplitude governing motion’s equations are derived using Hamilton’s principle. The effective geometric and material composition-dependent properties are estimated using the Gibson's formula and Halpin–Tsai relations for the core and attached layers, respectively. The Galerkin’s approach is employed to convert governing equations to the time-dependent differential equations and finally the perturbation technique and modified Poincare–Lindstedt method are employed to obtain large amplitude nonlinear responses. The results are presented to investigate the impact of geometric parameters of the honeycomb core and material compositions of nanocomposite layers on the nonlinear vibration characteristics of the doubly curved shell. A verification study is presented to valid employed numerical results.