Abstract
The approximate load-deflection behavior of a simply supported cylindrical shell subjected to external pressure is determined for the case where the shell has a dimple shaped initial deflection. This is accomplished by the use of a “two-timing” perturbation expansion applied to the Kármán-Donnell shell equations. We show that if the shell is imperfection-sensitive to an initial deflection in the shape of the linear buckling mode, then it is also imperfection-sensitive to a dimple imperfection. The degradation in buckling load for the dimple imperfection depends linearly upon the initial deflection amplitude ε whereas for the modal imperfection it is proportional to the two-thirds power of ε.
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