Nonlinear Dynamics of Composite Microsheet with Graphene Skins in Non-uniform Thermal Field
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ISSN 1860-2134
Nonlinear Dynamics of Composite Microsheet with Graphene Skins in Non-uniform Thermal Field Xiangying Guo1,2
Pan Jiang1,2
Lin Sun3
Dongxing Cao1,2
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)
Received 23 September 2019; revision received 14 March 2020; Accepted 23 March 2020 c The Chinese Society of Theoretical and Applied Mechanics 2020
ABSTRACT The effects of different parameters on the nonlinear dynamic characteristics of macrofiber composite (MFC) microsheet with graphene (GP) skin under non-uniform thermal field are investigated. Firstly, the physical parameters of the MFC–GP structure are calculated by the mixing rule, and the constitutive equations of the structure are set up by employing the Eringen theory. The nonlinear dynamic equations of the microsheet are obtained by using Hamilton’s principle. Then, the heat conduction equations of the microsheet are considered, adopting Green and Naghdi’s generalized thermoelasticity theory. According to the Galerkin weighted residual method, the thermoelasticity coupling equations of the structure are obtained. Meanwhile, the influence of the positive piezoelectric effect of GP and MFC on the vibration response of the structure is also investigated. The nonlinear dynamic governing equations including displacement, coupled thermoelasticity, and electricity field are discretized by the Galerkin method. The effects of non-local parameter, volume fraction of GP, and thermal and electricity coupling coefficients on structural dynamic behavior are discussed in the numerical simulation.
KEY WORDS MFC–GP microsheet, Non-uniform thermal field, Nonlocal parameter, Nonlinear dynamic responses
1. Introduction Graphene (GP) is a major research topic in the field of composite materials in recent years. Featured with the special two-dimensional (2D) crystal structure, GP has excellent mechanical properties, good heat conduction and high conductivity, which is widely applied in many engineering fields, such as aerospace, energy, micro-electronics, sensors. [1] During the last several years, theoretical and experimental studies have been conducted to investigate the dynamic properties of graphene composites. Ansari et al. [2, 3] presented the vibration behavior of multilayer graphene with different scales under several boundary conditions. Rissanou et al. [4] utilized molecular dynamics to simulate poly/graphene composites and analyzed the effects of graphene layers on the dynamic characteristics of the structure. Kwon et al. [5, 6] discussed the vibration characteristics of graphene resonators by molecular dynamic simulation. Shen et al. [7] investigated the nonlinear vibration characteristics of graphene-reinforced functionally gradient laminates
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