On the vibration and buckling analysis of quadrilateral and triangular nanoplates using nonlocal spline finite strip method

H. R. Analooei, M. Azhari, S. Sarrami-Foroushani, A. Heidarpour

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8 Citations (Scopus)


In this paper, stability and free vibration characteristics of quadrilateral and triangular orthotropic single-layered graphene sheets are investigated based on Eringen’s nonlocal continuum elasticity theory. The principle of virtual work is used to derive the governing nanoplate equations. The geometry of arbitrary-shaped quadrilateral and triangular nanoplates in the global Cartesian coordinate system is transformed into the natural coordinate system. B3-spline finite strip method is then employed to extract the buckling and vibration equations. The obtained results are first validated against those reported elsewhere. A comprehensive parametric study is performed while the effect of different parameters such as nonlocal parameter, side length, aspect ratio, shape of the nanoplate, mode number, and boundary conditions is investigated. It is demonstrated that a small-scale effect takes a considerable role in the buckling and vibration behavior of quadrilateral and triangular nanoplates.

Original languageEnglish
Article number149
Number of pages14
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Issue number4
Publication statusPublished - 5 Mar 2020


  • Buckling
  • Nonlocal elasticity
  • Quadrilateral nanoplates
  • Spline finite strip method
  • Triangular nanoplates
  • Vibration

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