Large amplitude vibration of antisymmetric imperfect cross-ply laminated plates

In this paper the large amplitude vibration of an initially stressed, imperfect, cross-ply plate is studied. The non-linear equations of motion for an imperfect cross-ply plate in a general state of non-uniform initial stress are derived. The effects of both transverse shear deformation and rotatory inertia are included. A multi-mode solution is formulated for a simply supported imperfect cross-ply plate. The modal equations are obtained by performing the Galerkin procedure and then solved by the Runge-Kutta method. It is found that the existence of geometric imperfections may result in a drastic change on the large amplitude vibration behaviour. The effects of various parameters on the non-linear vibration frequencies are investigated.