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The dynamic stability under impulsive loading of shallow arches with elastic end restraints

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  • Mathematics


A theoretical and experimental study of the buckling under impulsive load of an arch with rotational end restraints was carried out. Impulsive loading was realized experimentally by use of the spray deposited explosive silver nitrate-silver acetylide. The experimental buckling loads were compared to those obtained by a theoretical analysis. It was found that the theoretical analysis yields a quite conservative lower bound on the magnitude of load necessary for buckling. Both uniform and nonuniform loadings were considered. It was found that there exists a critical value of rotational spring constant above which dynamic buckling may not occur in the rigorous mathematical sense. An expression for this critical value was found.

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