Dept Dept. of Eng. Math. and Physics, faculty of engineering, Cairo University, Egypt.
This paper introduces the dynamic buckling of a homogeneous and isotropic column loaded axially with axial impact load and simply supported at both ends. The column is made of linear hardening material and the effect of initial imperfection and 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 allowable stress are obtained.
dynamic buckling, Imperfections, strain rate materials, linear hardening, amplification function