Computers and Concrete

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Analysis of orthotropic plates by the two-dimensional generalized FIT method

  • Zhang, Jinghui (Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University) ;
  • Ullah, Salamat (Department of Civil Engineering, Sarhad University of Science and Information Technology) ;
  • Gao, Yuanyuan (Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University) ;
  • Avcar, Mehmet (Department of Civil Engineering, Suleyman Demirel University) ;
  • Civalek, Omer (China Medical University)
  • Received : 2020.06.19
  • Accepted : 2020.11.03
  • Published : 2020.11.25
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Abstract

In this study, the two-dimensional generalized finite integral transform(FIT) approach was extended for new accurate thermal buckling analysis of fully clamped orthotropic thin plates. Clamped-clamped beam functions, which can automatically satisfy boundary conditions of the plate and orthogonality as an integral kernel to construct generalized integral transform pairs, are adopted. Through performing the transformation, the governing thermal buckling equation can be directly changed into solving linear algebraic equations, which reduces the complexity of the encountered mathematical problems and provides a more efficient solution. The obtained analytical thermal buckling solutions, including critical temperatures and mode shapes, match well with the finite element method (FEM) results, which verifies the precision and validity of the employed approach.

Keywords

Acknowledgement

The work reported in this paper is supported by the Youth Fund of Colleges and Universities in Hebei Province Science and Technology Research Project (Grant No. QN2019024)

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