Abstract
The large amplitude, free flexural vibration of cross-ply laminated composite plates is studied based on an assumed mode shape. Two different out-of-plane boundary conditions considered are all edges simply supported and all edges clamped. Further movable and immovable in plane conditions are considered for each of the above cases. The non-linear frequency is obtained as a function of lamination parameters, material constants, aspect ratio, and amplitude of vibration. Results are compared with orthotropic solutions. Non-linear frequency versus amplitude curves are plotted for plate G and plate C which are typical of glass fibre reinforced plastics and carbon fibre reinforced plastics respectively. These results show that the non-linearity in the cases of composite plates is of the hardening type.
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