Analyzing the effects of central angle and applied voltage on the critical buckling temperature of a 2D-PFGM open cylindrical shell by GDQ method

In this paper, it is aimed to analyze the effects of variation of central angle and applied voltage on the critical buckling temperature of a thin cylindrical panel made of piezo-magnetic two-dimensional functionally graded material (2D-PFGM) subjected to constant magnetic field. Material properties of the structure assumed varying by exponential functions of volume fraction in longitudinal and circumferential directions. In order to tackle the problem, equilibrium equations have been initially derived by considering first order shear deformation theory and nonlinear terms of strain-displacement relations. In the following, by making incremental changes to the displacement components, calculating resultant forces and moments, and using Lagrang equations on the second functional variation of potential energy, the stability equations of the panel have been derived. After solving the mentioned equations by applying generalized differential quadrature method based on the simply supported boundary conditions, critical buckling temperature has been determined. Results from these formulas are discussed and compared with those obtained by other authors. At the end, effects of applied voltage to the external surface and central angel of the panel on the critical buckling temperature have been analyzed.