Dynamic Response of Cross-Ply Laminated Cylindrical Shells Subjected to Periodic Axial Compressive Loads

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Advanced fiber-reinforced composite materials are being used for structural members, because of their high specific strength and stiffness. This paper deals with the problem of dynamic stability of cross-ply laminated cylindrical shells suljected to static and periodic axial compressive loading. 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 equation. The inevitability of dynamically unstable behavior is proved analytically and the effects of various factors, such as number of layers, fundamental natural frequency, vibrated amplitude, dynamic unstable mode and dimension of cylinder, are clarified.
東海大学の論文