On the nonlinear dynamics of viscoelastic graphene sheets conveying nanoflow: Parametric excitation analysis

• Ali Shariati ^[1] ; Farzad Ebrahimi ^[1] ; S. Hamed S. Hosseinic ^[2] ; Ali Toghroli ^[3] ; S. Sedighi Bayrami ^[2]
  1. [1] Ton Duc Thang University

     Ton Duc Thang University

     Vietnam

     
  2. [2] Imam Khomeini International University

     Imam Khomeini International University

     Irán

     
  3. [3] Duy Tan University

     Duy Tan University

     Vietnam

     

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 50, Nº. 3, 2022, págs. 781-798
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The present article aims to clarify the effect of the nanoflow on the nonlinear dynamic instability of graphene sheets under parametric excitation. To achieve this aim, the graphene layer is added to a visco-Pasternak foundation then, the resulting nanostructure is subjected to the nanoflow and a parametric axial force, simultaneously. The nonlocal elasticity and the nonlinear von Karman theories and Hamilton’s principle are combined in this article, which lead to the governing equation of motion. A class of nonlinear Mathieu–Hill equation is established to determine the bifurcations and the regions of the nonlinear dynamic instability. The main conclusion to be drawn is that nanoflow directly influences the amplitude response of the system. This investigation contains analysis of how the nanoflow affects the nonlinear instability of nanostructures including the graphene sheets which can be provided useful information for the next investigations in field of nano electromechanical system.