Static and Dynamic Buckling of Shallow Arches

Abstract

The static and dynamic buckling behaviors of a shallow, simply supported sinusoidal arch subjected to both a uniformly distributed step pressure load and a purely impulsive load are considered. Five equilibrium paths are obtained for the arch under static loading conditions. Critical static loads corresponding to two different instability modes and based on characteristics in the load displacement curve are obtained numerically. Critical dynamic loads, corresponding to three different instability modes, are obtained from a numerical procedure in which buckling criteria are based on characteristics in the time response of the structure. The influence of damping on the various dynamic stability regions and the dynamic response of a preloaded arch are observed and discussed