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

Zhang J., Ullah S., Gao Y., AVCAR M. , Civalek O.

COMPUTERS AND CONCRETE, vol.26, no.5, pp.421-427, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.12989/cac.2020.26.5.421
  • Title of Journal : COMPUTERS AND CONCRETE
  • Page Numbers: pp.421-427
  • Keywords: orthotropic rectangular thin plates, thermal buckling, analytical solution, two-dimensional generalized finite integral transform approach, THERMAL BUCKLING ANALYSIS, RECTANGULAR THIN PLATES, FREE-VIBRATION, DYNAMIC INSTABILITY, SHEAR DEFORMATION, MODEL


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.