Steel and Composite Structures

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Dynamics of graphene-nanoplatelets reinforced composite nanoplates including different boundary conditions

  • Karami, Behrouz (Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University) ;
  • Shahsavari, Davood (Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University) ;
  • Ordookhani, Ali (Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus) ;
  • Gheisari, Parastoo (School of Mechanical Engineering, Shiraz University) ;
  • Li, Li (State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology) ;
  • Eyvazian, Arameh (Institute of Research and Development, Duy Tan University)
  • Received : 2020.03.03
  • Accepted : 2020.08.21
  • Published : 2020.09.25
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Abstract

The current study deals with the size-dependent free vibration analysis of graphene nanoplatelets (GNPs) reinforced polymer nanocomposite plates resting on Pasternak elastic foundation containing different boundary conditions. Based on a four variable refined shear deformation plate theory, which considers shear deformation effect, in conjunction with the Eringen nonlocal elasticity theory, which contains size-dependency inside nanostructures, the equations of motion are established through Hamilton's principle. Moreover, the effective material properties are estimated via the Halpin-Tsai model as well as the rule of mixture. Galerkin's mathematical formulation is utilized to solve the equations of motion for the vibrational problem with different boundary conditions. Parametrical examples demonstrate the influences of nonlocal parameter, total number of layers, weight fraction and geometry of GNPs, elastic foundation parameter, and boundary conditions on the frequency characteristic of the GNPs reinforced nanoplates in detail.

Keywords

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