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Dynamic Instability of Antisymmetric Cross-Ply Laminated Composite Rectangular Thin Plates Based On Large Deflections Theory

MEHDI DARABI, and RAJAMOHAN GANESAN

Abstract


In this paper, the dynamic instability of thin laminated composite plates subjected to harmonic in-plane loading is studied based on nonlinear analysis. The non-linear von Karman strains associated with large deflections and curvatures are considered. Introducing Airy’s stress function, Galerkin’s technique is then applied to the problem and it leads to a system of non-linear Mathieu-Hill equations. Applying the Bolotin’s method, the dynamically-unstable regions, and both stable- and unstable-solutions amplitudes of the steady-state vibrations are obtained. The effect of various lamination schemes and also magnitude of both tensile and compressive longitudinal periodic loadings on the dynamically-unstable regions and the amplitudes of the steady-state vibrations are examined and compared.

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