Vibration of cylindrical shells made of three layers W-Cu composite containing heavy water using Flugge-Lur'e-Bryrne theory

The analytical approach is presented to study the nonlinear vibration of W-Cu sandwich shell containing heavy water surrounded by an elastic foundation under thermo-mechanical loads. The cylindrical shell is assumed to be made of Tungsten and Copper, continuously graded in the thickness direction. The fluid in the shell is heavy water which is assumed to non-viscous and incompressible. The nonlinear vibration of the full-filled fluid shell using Flugge-Lur'e-Bryrne theory is investigated through the Galerkin method. The natural frequencies, the dynamical responses as time history and phase plane graphs, Poincare map are given in detail. The obtained results that are validated with other studies, have the valuable applications in nuclear reactors, rocket shells, fusion reactor vessels.