Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads

In the present study, the dynamic stability of simply supported, circular cylindrical shells subjected to dynamic axialloads is analysed. Geometric nonlinearities due to finite-amplitude shell motion are considered by using the Donnellsnonlinear shallow-shell theory. The effect of structural damping is taken into account. A discretization method based ona series expansion involving a relatively large number of linear modes, including axisymmetric and asymmetric modes,and on the Galerkin procedure is developed. Axisymmetric modes are included; indeed, they are essential in simulatingthe inward deflection of the mean oscillation with respect to the equilibrium position and in describing the axisymmetricdeflection due to axial loads. A finite length, simply supported shell is considered; the boundary conditions are satisfied,including the contribution of external axial loads acting at the shell edges. The effect of a contained liquid is investigated.The linear dynamic stability and nonlinear response are analysed by using continuation techniques and directsimulations.