Steel and Composite Structures

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Higher order plate theory for buckling analysis of plates based on exact solution

  • Bi, Ran (Department of Civil and Architectural Engineering, Xi'an University of Science and Technology) ;
  • Gao, Jun (Department of Civil Engineering, Tsinghua University) ;
  • Allahyari, Seyedmahmoodreza (Department of Mechanical Engineering, Dariun Branch, Islamic Azad University)
  • Received : 2019.10.05
  • Accepted : 2021.07.01
  • Published : 2021.08.10
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Abstract

In this paper, buckling analyses of composite plate reinforced by Graphen platelate (GPL) is studied. The Halphin-Tsai model is used for obtaining the effective material properties of nano composite plate. The nano composite plate is modeled by Third order shear deformation theory (TSDT). The elastic medium is simulated by Winkler model. Employing nonlinear strains-displacements, stress-strain, the energy equations of plate are obtained and using Hamilton's principal, the governing equations are derived. The governing equations are solved based on Navier method. The effect of GPL volume percent, geometrical parameters of plate and elastic foundation on the buckling load are investigated. Results showed that with increasing GPLs volume percent, the buckling load increases.

Keywords

Acknowledgement

Sponsored by the National Natural Science Foundation of China (no. 11802230, 11972283, 11872299), Natural Science Foundation of Shaanxi Province (2018JQ5122), Natural Science Foundation of Shaanxi Provincial Department of Education (18JK0501), Natural Science Foundation of Shaanxi Province (2018JQ5122), National Natural Science Foundation of China (no. 11972283).

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