Nonlinear dynamics and stability of compressed circular cylindrical shells

The dynamic stability of simply supported, circular cylindrical shells under periodic axial loads is analysed. Nonlinearities due to finite-amplitude shell motion are considered by using the Donnell's nonlinear shallow-shell theory. 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 on the dynamic stability is investigated.