Afiniteelementasymptoticanalysisfordeterminingthelowerbounddynamicbucklingestimatesofimperfection-sensitivestructuresundersteploadofinfinitedurationispresented.Thelowerbounddynamicbucklingloadsandthecorrespondingdisplacementsaresoughtintheformofasymptoticexpansionsbasedonthestaticstabilitycriterionandtheycanbedeterminedbysolvingnumerically(FEM)severallinearproblemswithasinglenonsingularsub-stiffnessmatrix.