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Steel and Composite Structures
  Volume 36, Number 6, September25 2020 , pages 711-727

Free vibration of FG-GPLRC spherical shell on two parameter elastic foundation
Arameh Eyvazian, Farayi Musharavati, Pouyan Talebizadehsardari and Tamer A. Sebaey

    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.
Key Words
    spherical shell; graphene platelets; GDQM; nanocomposite
Arameh Eyvazian: Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam;
Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang 550000, Vietnam
Farayi Musharavati: Department of Mechanical and Industrial Engineering, College of Engineering, Qatar University, P.O. Box 2713, Doha, Qatar
Pouyan Talebizadehsardari: Metamaterials for Mechanical, Biomechanical and Multiphysical Applications Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;
Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Tamer A. Sebaey: Engineering Management Department, College of Engineering, Prince Sultan University, Riyadh, Saudi Arabia;
Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Sharkia, Egypt


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