Dynamic Stability of Composite Laminated Cylindrical Shells Subjected to Periodic Hydrostatic Pressure
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This paper deals with the problem of dynamic stability of unidirectional laminated cylindrical shells subjected to static and periodic hydrostatic pressure. First, the axially symmetric motion of the shell under the loading is determined. Subsequently, certain perturbations are superimposed on this motion, and their behavior in time 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.
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