Geometrical nonlinear free vibration of multi-layered graphene sheets

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number135401
Journal / PublicationJournal of Physics D: Applied Physics
Volume44
Issue number13
Publication statusPublished - 6 Apr 2011

Abstract

A nonlinear continuum model is developed for the nonlinear vibration analysis of multi-layered graphene sheets (MLGSs), in which the nonlinear van der Waals (vdW) interaction between any two layers is formulated explicitly. The nonlinear equations of motion are studied by the harmonic-balance methods. Based on the present model, the nonlinear stiffened amplitude-frequency relations of double-layered graphene sheets (DLGSs) are investigated in the spectral neighbourhood of lower frequencies. The influence of the vdW interaction on the vibration properties of DLGSs is well illustrated by plotting the resulting modes' shapes, in which in-phase and anti-phase vibrations of DLGSs are studied. In particular, the large-amplitude vibration which associates with the anti-phase resonant frequencies, separating DLGS into single-layered GSs, is a promising application that needs to be explored further. In contrast, the vibration modes that are associated with the resonant frequencies are nonidentical and give various vibration patterns, which indicates that MLGSs are highly suited to being used as high-frequency resonators. © 2011 IOP Publishing Ltd.

Citation Format(s)

Geometrical nonlinear free vibration of multi-layered graphene sheets. / Wang, Jinbao; He, Xiaoqiao; Kitipornchai, S.; Zhang, Hongwu.

In: Journal of Physics D: Applied Physics, Vol. 44, No. 13, 135401, 06.04.2011.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review