Dynamic Stability of Laterally Loaded Buckled Beams

Abstract

The critical uniform lateral pressure of a simply supported beam initially compressed into a buckled state is derived for the cases of static loading, step‐loading, and impulse loading. The results are calculated for different values of buckle amplitudes and are found to be at most about 75% of the corresponding values for shallow sinusoidal arches having the same amplitude. The method of analysis of the stability of the beam under dynamic loading is similar to that of Hoff and Bruce who used an energy criterion to determine the critical pressures of laterally loaded shallow arches.