A general framework has been developed to investigate dynamic
stability of composite plates under dynamic and static compressive
loads. A variationally consistent, higher-order shear deformation
theory has been used to model the displacement field. The linear
strain-displacement relationship corresponding to the small
deformation assumption is used first. Both transverse shear and
rotary inertia effects are taken into account. The mathematical
model is implemented using the finite element approach. The impact
of delamination on the natural frequencies, critical buckling load,
and instability regions is investigated Parametric studies are
conducted to investigate the influence of delamination placement
and size, boundary conditions, plate thickness, static pre-stress,
and stacking sequence on the instability regions. Finally, the
importance of geometric nonlinearity is studied by introducing von
Krmn nonlinearity. Natural frequency results are obtained for
square isotropic and cross-ply laminates and compared with
available analytical data. The effect of geometric nonlinearity on
the principal instability region is also investigated for cross-ply
laminates.
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