北京工业大学 机电学院，北京 100124
College of Mechanical Engineering Beijing University of Technology, Beijing, 100124, China
The project supported by the National Natural Science Foundation of China(11572006,11602234)
Graphene is a new type of carbon nano-material, which can be utilized to enhance composites for excellent mechanical properties. In this paper, the nonlinear dynamic behavior of a grapheme-reinforced composite plate under cantilever boundary condition was studied. The equivalent Young's modulus of the composite plate was calculated by Halpin-Tsai model. The nonlinear dynamic equations of the composite plate were obtained by using the first-order laminated plate theory and Hamilton’s principle. The governing equations of transverse displacements of the composite plate were obtained by modal condensation. The Rayleigh-Ritz method was used to calculate the natural frequencies of the composite plate. It was found that there exists are lationship of 1:3 between the second and fourth order natural frequencies of the composite plate. The nonlinear vibration responses of the composite plate under 1:3 resonance was studied by using the multi-scale method. The influence of external excitation on the nonlinear vibration responses was analyzed by numerical simulation. The results showed that the transverse excitation has a great influence on the nonlinear dynamic behavior of the composite plate.
张博,郭翔鹰,姜盼.石墨烯树脂复合材料板1∶3内共振非线性动力学分析[J].动力学与控制学报,2020,18(4):44~51; Zhang Bo, Guo Xiangying, Jiang Pan. NONLINEAR DYNAMIC ANALYSIS OF GRAPHENE RESIN COMPOSITES PLATEWITH 1:3 INTERNAL RESONANCE[J]. Journal of Dynamics and Control,2020,18(4):44-51.复制