Interaction of angular velocity and temperature rise in the thermo-inertia bifurcation buckling of FG laminated nanocomposite annular plates

The present study examines the asymmetric stability of a functionally graded (FG) nanocomposite shear deformable annular plate with a constant angular speed in the thermal environment. For the first time, this phenomenon is investigated for a structure augmented with graphene platelets (GPLs). The displacement field in the annular system is estimated depending on the first-order shear deformation plate assumptions called FSDT. Moreover, the von-Kármán premise of geometrically nonlinear relations is utilized to achieve the equilibrium equations and related edge constraints. To recognize the stability relations in a linearized style, the adjacent equilibrium criterion is utilized. Applying a combined solution procedure consisting of the trigonometric expansion along the hoop axis and the generalized differential quadrature along the radius axis (TE-GDQ), the achieved stability equations are solved, and novel numerical results are obtained. An eigenvalue problem is solved to calculate the critical temperature rise for thermal buckling and the required angular velocity for rotating buckling. Based on the various GPL parameters, geometric properties, and boundary conditions, novel numerical findings are developed to illustrate the interplay of thermal and rotational buckling.