Dynamic Instability of Antisymmetric Cross-ply Laminated Composite Cylindrical Shell

Abstract eng:
In the present work, the non-linear dynamic instability of thin laminated composite cylindrical shells under periodic axial loading is investigated. In particular, antisymmetric cross-ply laminates are considered. Donnell’s shallow-shell theory with von Karman-type of nonlinearity are considsered in equations of motion. Galerkin’s technique is then applied to solve the non-linear larg deflection shallow-shell eequations of motion and it leads to a system of nonlinear Mathieu-Hill equations. Using Bolotin’s method the instability regions and both stable and unstable solutions amplitude of the steady-state vibrations are obtained. The effects of diffrent lamination schemes on the instability regions and parametric resonance particularly the steady- state vibrations amplitude are examined. The present formmulation shows good agreement with that available in the literature for linear instability analysis.

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