Vibration and nonlinear dynamic response of eccentrically stiffened functionally graded composite truncated conical shells surrounded by an elastic medium in thermal environments

A semi-analytical approach to eccentrically stiffened functionally graded truncated conical shells surrounded by an elastic medium in thermal environments is presented. Based on the classical thin shell theory with geometrical nonlinearity in von Karman Donnell sense, the smeared stiffeners technique and the Galerkin method, this paper deals with vibration and nonlinear dynamic problems. The truncated conical shells are reinforced by ring stiffeners made of full metal or full ceramic depending on the situation of the stiffeners at the metal-rich or ceramic-rich side of the shell, respectively. In addition, the study not only assume that the material properties depend on environment temperature variation, but also consider the thermal stresses in the stiffeners. Numerical results are given to evaluate effects of inhomogeneous, dimensional parameters, outside stiffeners, temperatures and elastic foundations on the vibration and nonlinear dynamic response of the structures.