Dynamic Buckling Equations and the Maximum Lower Limit Formula of an Elastic Column under Axial Loading

Dynamic flexural buckling equations in large deflection for an elastic column with the effects of axial inertia and rotary inertia are derived via the principle of minimum acceleration for continua at finite deformation. The maximum lower limit formula for critical dynamic buckling load is obtained by eigenvalue analysis for rudimental buckling equation. It is found that the expression is same as the static Euler limit.