Dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection

It can be found from some data that the buckling load of structure may decrease by 70 percent due to the existence of initial geometric imperfection. The initial geometric imperfection may be uncertain due to the manufacture errors and so on, so this will lead to the uncertainty of the buckling load or the dynamic buckling response of structure. The problem of dynamic buckling failure of rod with uncertain initial geometrical imperfection under the axial dynamic loading was studied. The safety factor was defined based on the integral deflection. The uncertain initial geometrical imperfection was described by interval analysis and convex models respectively, and then the least favorable estimation on the dynamic buckling safety factor of rod was evaluated based on the integral displacements. The results are significant for judging the dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection.