Eur. Phys. J. Plus (2021) 136: 1218
https://doi.org/10.1140/epjp/s13360-021-02107-2

Regular Article

Thermal buckling analysis of functionally graded annular plate with variable thickness

¹ College of Mechanical and Electrical Engineering, Central South University, 410083, Changsha, People’s Republic of China
² State Key Laboratory of High Performance Complex Manufacturing, Central South University, 410083, Changsha, People’s Republic of China

^d wen.shao@csu.edu.cn

Received: 23 July 2021
Accepted: 24 October 2021
Published online: 7 December 2021

Abstract

This paper reports on the thermal buckling characteristics of the functionally graded (FG) annular plate with variable thickness. The differential quadrature finite element method is used to derive the control differential equation of the FG annular plate with variable thickness in the thermal field. The numerical model is established on the basis of the first-order shear deformation theory. The reliability and accuracy of the proposed model are verified through a series of comparative studies. The influences of various parameters on the natural frequency, the critical buckling temperature difference and the associated buckling mode shapes are also analyzed and discussed in detail. In addition, the influences of key parameters such as power-law exponent, geometric structure and temperature change on thermal buckling characteristics are investigated under different boundary conditions, cross-sectional shapes and temperature distributions in the thermal field. The results show that the boundary conditions on the outer ring exert a more enormous function on the natural frequency and the critical buckling temperature difference. Frequency parameters of the annular plates with different cross-sectional shapes affect the temperature changes under totally different levels.