Non-Existence of Snap-Through for Clamped Shallow Elastic Arches Subjected to Impulsive Loading

摘要

The problem of dynamic snap-through instability of the elastic clamped shallow arches was re-examined. The governing equation for the corresponding static problem was solved, and it was proved that for ideal impulsive loading there exists no other symmetric or assymmetric static equilibrium configurations, aside from the original undeformed position. Hence, it is considered that contrary to previous analyses, clamped shallow arches under impulsive loading are always stable against snap-through. (Author)