• 文献标题:   Influence of nonlinear terms on dynamical behavior of graphene reinforced laminated composite plates
  • 文献类型:   Article
  • 作  者:   GUO XY, ZHANG B, CAO DX, SUN L
  • 作者关键词:   graphene composite plate, nonlinear dynamic, bifurcation, nonlinear parameter
  • 出版物名称:   APPLIED MATHEMATICAL MODELLING
  • ISSN:   0307-904X EI 1872-8480
  • 通讯作者地址:   Beijing Univ Technol
  • 被引频次:   0
  • DOI:   10.1016/j.apm.2019.10.030
  • 出版年:   2020

▎ 摘  要

This research is focused on the effects of nonlinear terms on the dynamical behavior of graphene reinforced laminated composite plates. Firstly, the governing equations of the graphene reinforced composite thin plate subjected to transverse excitations are derived by using the Hamilton's principle and the von Karman deformation theory. Then numerical method is applied to investigate the nonlinear behaviors of graphene reinforced composite plates. Bifurcation diagram, waveform and phase portrait are demonstrated to analyze the nonlinear dynamics of the graphene reinforced laminated composite plates. Furthermore, the effects of nonlinear terms on the dynamical behavior are discussed in detail, where both the stronger and weaker nonlinear characteristics of lower modes of the plate are presented. Moreover, some interesting phenomena are obtained in numerical simulation. (C) 2019 Elsevier Inc. All rights reserved.