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NON-EXISTENCE OF SNAP-THROUGH FOR CLAMPED SHALLOW ELASTIC ARCHES SUBJECTED TO IMPULSIVE LOADING
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES
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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.
APPROVED FOR PUBLIC RELEASE