Effect of in-plane inertia on buckling of imperfect plates with large deformations

The influence of in-plane inertia on non-linear dynamic buckling of rectangular initially-imperfect plates is studied. A regular, consistent perturbation technique is used, and both the equations of motion and the boundary conditions are perturbed, yielding a relatively simple procedure for solving an otherwise very involved non-linear problem. Both pulse and vibration buckling during parametric resonance are analyzed. It is shown that, in the former case, the in-plane inertia can be disregarded whereas in the latter it plays an important role for non-slender plates.