Natural frequency analysis of imperfect GNPRN conical shell, cylindrical shell, and annular plate structures resting on Winkler-Pasternak Foundations under arbitrary boundary conditions

Sobhani E., AVCAR M.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol.144, pp.145-164, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 144
  • Publication Date: 2022
  • Doi Number: 10.1016/j.enganabound.2022.08.018
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, INSPEC, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.145-164
  • Keywords: Natural frequency, Graphene Nano Platelet (GNP), Conical and cylindrical shells and annular plates, Porosity, Arbitrary boundary conditions, Elastic foundations, GDQM, FREE-VIBRATION ANALYSIS, NONLINEAR DYNAMIC-RESPONSE, CURVED SHALLOW SHELLS, FUNCTIONALLY GRADED MATERIAL, ELASTIC FOUNDATIONS, STABILITY, BEHAVIOR
  • Süleyman Demirel University Affiliated: Yes


The goal of the present research is to examine the Natural Frequencies (NFs) of perfect and imperfect Graphene Nanoplatelet Reinforced Nanocomposite (GNPRN) structures of revolution (conical and cylindrical shells and annular plate structures) resting on elastic foundations under general boundary conditions (BCs). The graphene nanoplatelet material is implemented to compose the nanocomposite enhanced by a polymeric matrix including porosities. The springs technique is applied to define the general BCs of GNPRN structures of revolution. Elastic foundations are described by two parameters, i.e., Winkler-Pasternak Foundations (WPFs). Additionally, Donnell's hypothesis and first-order shear deformation theory (FSDT) are employed to figure out the primary formulations associated with the GNPRN structures of revolution. In contrast, the equations of motion are found using Hamilton's principle. Then the equations of motion are then discretized using the well-known Generalized Differential Quadrature Method (GDQM). Next, the standard eigenvalue solution is assigned to obtain the NFs of the perfect/imperfect GNPRN structures of revolution. Finally, various benchmarks are addressed to verify the approach suggested for evaluating the NFs of the perfect/imperfect GNPRN structures of revolution. Further-more, several novel examples highlight the effects of the change in geometrical and material properties, arbitrary boundary conditions, and WPFs on the NFs of the perfect/imperfect GNPRN structures of revolution.