Dynamic thermal buckling and postbuckling of clamped–clamped imperfect functionally graded annular plates

• Published in: Nonlinear dynamics Vol. 95; no. 1; pp. 565 - 577
• Main Authors: Zhang, Jinghua, Pan, Shuangchao, Chen, Like
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2019; Springer Nature B.V
• Subjects: Annular plates; Automotive Engineering; Clamping; Classical Mechanics; Conduction heating; Conductive heat transfer; Control; Defects; Deformation; Dynamical Systems; Engineering; Functionally gradient materials; Heat; Initial geometric imperfections; Laplace transforms; Mechanical Engineering; Nonlinear dynamics; Nonlinear equations; Original Paper; Partial differential equations; Plate theory; Postbuckling; Power series; Runge-Kutta method; Series expansion; Temperature; Thermal buckling; Vibration; Annular plate; Thermal buckling; Functionally graded materials; Postbuckling; Dynamic stability
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-018-4583-5

Dynamic thermal buckling and postbuckling of imperfect functionally graded material (FGM) annular plates are investigated based on the nonlinear plate theory. The transient temperature fields of the FGM annular plates under dynamic thermal loadings are obtained by Laplace transform in combination of power series method according to the theory of Fourier heat conduction. The nonlinear dynamic equations of large axisymmetric deformations are numerically solved by series expansions and Runge–Kutta method. The critical bucking and dynamic postbuckling responses are predicted by the maximum deflections of the FGM annular plates with positive or negative initial geometric imperfections. The effects of the loads, the material gradient and the initial geometric imperfections on the dynamic responses and the buckling critical temperatures of the FGM annular plates are analyzed in detail.