Steel and Composite Structures

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Free vibration of FG-GPLRC spherical shell on two parameter elastic foundation

  • Eyvazian, Arameh (Institute of Research and Development, Duy Tan University) ;
  • Musharavati, Farayi (Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University) ;
  • Talebizadehsardari, Pouyan (Metamaterials for Mechanical, Biomechanical and Multiphysical Applications Research Group, Ton Duc Thang University) ;
  • Sebaey, Tamer A. (Engineering Management Department, College of Engineering, Prince Sultan University)
  • Received : 2019.12.08
  • Accepted : 2020.08.24
  • Published : 2020.09.25
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Abstract

In the present research, the free vibration analysis of functionally graded (FG) nanocomposite deep spherical shells reinforced by graphene platelets (GPLs) on elastic foundation is performed. The elastic foundation is assumed to be Winkler-Past ernak-type. It is also assumed that graphaene platelets are randomly oriented and uniformly dispersed in each layer of the nanocomposite shell. Volume fraction of the graphene platelets as nanofillers may be different in the layers. The modified HalpinTsai model is used to approximate the effective mechanical properties of the multilayer nanocomposite. With the aid of the first order shear deformation shell theory and implementing Hamilton's principle, motion equations are derived. Afterwards, the generalized differential quadrature method (GDQM) is utilized to study the free vibration characteristics of FG-GPLRC spherical shell. To assess the validity and accuracy of the presented method, the results are compared with the available researches. Finally, the natural frequencies and corresponding mode shapes are provided for different boundary conditions, GPLs volume fraction, types of functionally graded, elastic foundation coefficients, opening angles of shell, and thickness-to-radius ratio.

Keywords

References

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