Abstract
B of shallow spherical shells and truncated hemispheres subjected to nearly axisymmetric loads is studied using a digital computer program for the geometrically nonlinear analysis of arbitrarily loaded shells. Small asymmetric perturbations in the load are used to disclose the minimum bifurcation buckling loads and to illuminate the imperfection-sensitivity of the shells. The pressure-loaded spherical cap was selected because previous results had indicated that it exhibits all of the traits desired: its axisymmetric behavior is snap-buckling, bifurcation loads exist below the axisymmetric snap-buckling loads, and it is sensitive to imperfections. The truncated hemisphere under axial tension was selected because the experimental buckling loads are approximately one-half of the theoretical bifurcation loads. Imperfection-sensitivity was suspected to cause the discrepancy.
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