Summary
The parametric instability of cross-ply laminated plates, subjected to periodic in-plane loadsP(t)=P s+P d cos τt, is investigated. Within the high-order shear deformation lamination theory the motion is governed by three coupled partial differential equations, which are nonsymmetric in their nature. Using the method of multiple-scale, analytical expressions for the instability regions are obtained atθ=Ω j ±Ω i , whereΩ i are the natural frequencies of the system. It is shown that beside the principal instability region atθ=2Ω 1, other instability regions can exist for the first mode, and their significance is examined by various parameters such as the length-to-thickness ratio and the modulus ratio.
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Cederbaum, G. On the parametric instability of laminated plates modeled within a high-order shear-deformation theory. Acta Mechanica 91, 179–191 (1992). https://doi.org/10.1007/BF01194108
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DOI: https://doi.org/10.1007/BF01194108