Dept Dept. of Eng. Math. and Physics, faculty of engineering, Cairo University.
This paper introduces the dynamic buckling of a homogeneous and isotropic column loaded with axial impact load and simply supported at both ends. The column is made of perfect plastic material and the effect of initial imperfections and the strain rate are included in the analysis. The corresponding differential equation is deduced and solved analytically. Discussion on the strain rate effect on the dynamic buckling of the column is presented. Amplification function, preferred mode number, wave length and the reduction in critical stress are obtained.
dynamic buckling, Imperfections, strain rate materials, perfect plastic, amplification function