Abstract
Abstract A study on the large amplitude vibration of doubly curved graphene-reinforced composite (GRC) laminated panels is presented in this paper. A doubly curved panel is made of piece-wise GRC layers with functionally graded (FG) arrangement along the thickness direction of the panel. A GRC layer consists of polymer matrix reinforced by aligned graphene sheets. The material properties of the GRC layers are temperature dependent and can be estimated by the extended Halpin-Tsai micromechanical model. The modelling of the large amplitude vibration of the panels is based on the Reddy’s higher order shear deformation theory and the effects of the von Kármán geometric nonlinearity, the panel-foundation interaction and the temperature variation are included in the derivation of the motion equations of the panels. The solutions for the large amplitude vibration of the doubly curved FG-GRC laminated panels are obtained by applying a two-step perturbation approach. A parametric study is carried out to determine the influences of foundation stiffness, temperature variation, FG distribution pattern, in-plane boundary condition and panel curvature ratio on the natural frequencies and the nonlinear to linear frequency ratios of the doubly curved FG-GRC laminated panels.
Highlights
A study on the large amplitude vibration of doubly curved graphene-reinforced composite (GRC) laminated panels is presented in this paper
The panels are supported by an elastic foundation and in thermal environments
The extended Halpin-Tsai model is employed to evaluate the material properties of GRC layers which includes the thermal effect on both the graphene sheets and the polymer matrix
Summary
Abstract: A study on the large amplitude vibration of doubly curved graphene-reinforced composite (GRC) laminated panels is presented in this paper. Shen [10] first proposed to use FGM concept to nanocomposite structures in order to fully utilize the effect of nano filler reinforcement in composite structures Shen and his co-authors and other research teams further studied the linear and nonlinear vibration characteristics of FGM curved panels [11,12,13,14,15,16,17] and FG carbon nanotube reinforced composite (CNTRC) curved panels [18,19,20,21,22] subject to temperature changes and/or resting on elastic foundations. Shen et al [36] first proposed a functionally graded graphene reinforced composite (GRC) model where aligned graphene reinforcements are anisotropic and the material properties of both the polymer matrix and graphene sheets are assumed to be temperature dependent. The large amplitude vibration behavior of doubly curved FG-GRC laminated panels subject to the influence of foundation support and temperature variation is discussed in detail
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