2003 Volume 52 Issue 11 Pages 1357-1362
This paper deals with the problem of dynamic stability of cross-ply laminated cylindrical shells under impact hydrostatic pressure is described. First of all, the motion of cylindrical shells under impact hydrostatic pressure is defined as axially symmetric motion. Following this definition, certain perturbations are superimposed on this motion and their effect on the behavior of the shell is investigated. The symmetric state of motion of the shell is called stable if the perturbations remained bounded. The solutions for the prebuckling motion and the perturbed motion are obtained using the Galerkin's method. Stable regions are determined by utilizing Mathieu's equation. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as hydrostatic pressure ratio, number of layers, stacking sequences and dynamic unstable mode, are clarified.