Postbuckling of piezolaminated cylindrical shells with eccentrically/concentrically stiffeners surrounded by nonlinear elastic foundations

A fully analytical approach on thermal and mechanical buckling and postbuckling of cylindrical shell surrounded on nonlinear elastic foundation is presented. The shell is composed of composite material, piezoelectric actuator, and eccentrically/concentrically isotropic stringers and rings. The equilibrium and compatibility equations of shell are derived based on Kirchhoff assumptions taking into account von Karman nonlinearity. Two types of simply-supported boundary conditions are considered as freely movable and immovable edges. The equations are solved by definitions of stress function and applying Galerkin method. Numerical examples are well verified with available data in the literature. Several parametric investigations are conducted to examine the effects of voltage, different stiffeners, lay-up configuration, and nonlinear elastic foundations on equilibrium paths.