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.
Jinghui Zhang: Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China
Salamat Ullah: Department of Civil Engineering, Sarhad University of Science and Information Technology, Peshawar, 25000, Pakistan
Yuanyuan Gao: Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao 066004, China
Mehmet Avcar: Department of Civil Engineering, Suleyman Demirel University, 32260, Isparta, Turkey
Omer Civalek: China Medical University, Taichung, Taiwan
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