Dynamic Buckling of Cracked Beams Subject to Axial Impacting

摘要

This paper aims to investigate the dynamic buckling of crackedbeams with geometric imperfection subject to impacting. Thedynamic buckling control equations of cracked beams arederived from Hamilton’s principle using the first order sheardeformation theory. The discrete equations are obtained usingthe finite difference method. The effect of crack is taken intoaccount in buckling control equations using line-spring model offracture mechanics. According to the B-R dynamic bucklingcriterion, the critical velocity of dynamic buckling of crackedbeams is obtained. In addition, the effects of impact velocity andinitial geometric imperfections on the impact dynamic bucklingof perfect beams and cracked beams are discussed.