Buckling analysis of damaged beams

The presence of damage on structural systems can affect not only their static and dynamic behaviour of structures but also the buckling and post-buckling responses. The present study investigates, by means of the co-rotational method, the effects of concentrated damage on the post-buckling behaviour of beam-like structures, considering large displacements and therefore geometrical nonlinear response. Specifically, the co-rotational method is applied to evaluate the post-buckling behaviour of some benchmark structures whose geometrically nonlinear analyses in their undamaged state have already been considered in the literature. The large displacement buckling response of undamaged structures is compared with that of structures with concentrated damage. This damage is modelled by reducing the cross section of a beam element at various positions, intensities, and extents