Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1:1 internal resonance

Abstract In this article, the nonlinear dynamic responses of sandwich functionally graded (FG) porous cylindrical shell embedded in elastic media are investigated. The studied here consists three layers, which outer and inner skins made solid metal, while core is FG metal foam. Partial differential equations derived by utilizing improved Donnell’s theory Hamilton’s principle. Afterwards, Galerkin method used to transform governing into ordinary equations, an approximate analytical solution obtained using multiple scales method. effects various system parameters, specifically, radial load, thickness, foam type, coefficient, structure damping, Winkler-Pasternak foundation parameters on internal resonance thin shells evaluated.