Abstract
This paper deals with the problem of dynamic stability of angle-ply laminated cylindrical shells subjected to static and periodic hydrostatic pressure. First, the axially symmetric motion of the shell under loading is determined. Subsequently, certain perturbations are superimposed on the motion, and the behavior of the shells is investigated. The symmetric state of motion of the shell is called stable if the perturbations remain bounded. The solutions for the prebuckling motion and the perturbated motion are obtained by the use of Galerkin's method. Stability regions are examined by utilizing Mathieu's equation. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as lamination angle, configuration parameter, fundamental natural frequency, amplitude of vibration and dynamic unstable mode, are clarified.
