Abstract: The elastic or plastic dynamic buckling of columns under different kinds of axial impact loading has been studied for a long time. When studying this problem, most researchers usually assume that the column has some imperfections and analyze the developing course of this imperfection under impact load by the amplification function method. Although the method is very practical in engineering, it has some defects. On the one hand, the bifurcation problem is analyzed like a strength or stiffness one, so its e...