Nonlinear dynamic analysis and vibration of shear deformable eccentrically stiffened S-FGM cylindrical panels with metal–ceramic–metal layers resting on elastic foundations

Based on first-order shear deformation, this paper investigates the nonlinear dynamic analysis and vibration of shear deformable imperfect eccentrically stiffened functionally graded thick cylindrical panels, taking into account the damping when subjected to mechanical loads. The volume fractions of metal and ceramic are applied by Sigmoid-law distribution for functional graded material (S-FGM) with metal–ceramic–metal layers. The panels are assumed to be resting on elastic foundations and are reinforced by eccentric longitudinal and transversal stiffeners made of full metal. The nonlinear equations are solved by the Galerkin method and fourth-order Runge–Kutta method. The influences of inhomogeneous parameters, dimensional parameters, stiffeners, elastic foundations, boundary conditions and mechanical loads on the nonlinear dynamic analysis and nonlinear vibration of thick S-FGM cylindrical panels are examined in detail. The results are compared with known results in the literature.