Influence of nonlinear terms on dynamical behavior of graphene reinforced laminated composite plates |
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| Institution: | 1. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China;2. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing 100124, China;3. School of Mechanical Engineering, Liaoning Shihua University, Fushun 113001, China;1. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, the University of New South Wales, Sydney, NSW 2052, Australia;2. Centre for Built Infrastructure Research, School of Civil & Environmental Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia;1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116, PR China;2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;3. Department of Mechanics and Engineering, Sichuan University, Chengdu 610065, PR China |
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| Abstract: | 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. |
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