Theoretical study of dynamic elastic buckling of columns subjected to intermediate velocity impact loads

Dynamic elastic buckling of simply supported columns subjected to intermediate velocity impact is theoretically studied in this paper. The dynamic buckling equation is set up. Theoretical solution of dynamic responses of columns subjected to a half-sine shape intermediate velocity impact load is derived. Based on the characteristics of the theoretical solution, a dynamic buckling criterion is proposed to determine the critical buckling condition and to estimate the dynamic buckling critical load. Theoretical results obtained in this study are compared with experimental data. They are also compared with numerical results obtained by other authors. Good agreements between them are observed.