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Structural Engineering and Mechanics
  Volume 75, Number 1, July10 2020, pages 1-18

Free vibration of FG-GPLRC conical panel on elastic foundation
Arameh Eyvazian, Farayi Musharavati, Faris Tarlochan, Abdolreza Pasharavesh, Dipen Kumar Rajak, Mohammed Bakr Husain and Tron Nhan Tran

    Present research is aimed to investigate the free vibration behavior of functionally graded (FG) nanocomposite conical panel reinforced by graphene platelets (GPLs) on the elastic foundation. Winkler-Pasternak elastic foundation surrounds the mentioned shell. For each ply, graphaene platelets are randomly oriented and uniformly dispersed in an isotropic matrix. It is assumed that the Volume fraction of GPLs reainforcement could be different from layer to layer according to a functionally graded pattern. The effective elastic modulus of the conical panel is estimated according to the modified Halpin-Tsai rule in this manuscript. Cone is modeled based on the first order shear deformation theory (FSDT). Hamilton’s principle and generalized differential quadrature (GDQ) approach are also used to derive and discrete the equations of motion. Some evaluations are provided to compare the natural frequencies between current study and some experimental and theoretical investigations. After validation of the accuracy of the present formulation and method, natural frequencies and the corresponding mode shapes of FG-GPLRC conical panel are developed for different parameters such as boundary conditions, GPLs volume fraction, types of functionally graded and elastic foundation coefficients.
Key Words
    conical panel; graphene platelets; GDQM; nanocomposite; elastic foundation
Arameh Eyvazian, Farayi Musharavati, Faris Tarlochan: Mechanical and Industrial Engineering Department, Qatar University, Doha, Qatar
Abdolreza Pasharavesh: Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran
Dipen Kumar Rajak: Department of Mechanical Engineering, Sandip Institute of Technology and Research Center, Nashik, India
Mohammed Bakr Husain : Department of Biological and Environmental Sciences, Qatar University, Doha, Qatar
Tron Nhan Tran: Division of Computational Mechatronic, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam / Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

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