Nonlinear vibration of stiffened multilayer FG cylindrical shells with spiral stiffeners rested on damping and elastic foundation in thermal environment

Abstract

Abstract This paper presents the nonlinear vibration of multilayer FG cylindrical shells reinforced by spiral FG stiffeners surrounded by damping and elastic foundation in thermal environment. The primary, superharmonic and subharmonic resonances of spiral stiffened multilayer FG cylindrical shell are analyzed. It is assumed that the material properties are dependent to temperature. The linear elastic foundation is based on the Winkler and Pasternak model. In order to model the stiffeners, the technique of smeared stiffener is utilized. With regard to classical plate theory of shells, von Karman equation and Hook law, the relations of stress-strain is derived for shell and stiffeners. According to the Galerkin method, the discretized motion equation is obtained. The primary, superharmonic and subharmonic resonances in presence of thermal environment are analyzed by using the method of multiple scales. The influence of the material parameters, temperature, elastic foundation and various geometrical characteristics on the primary, superharmonic and subharmonic resonances is investigated.