THE ELASTIC BUCKLING STRENGTH OF NEAR-PERFECT DEEP SPHERICAL SHELLS WITH IDEAL BOUNDARIES
DAVID TAYLOR MODEL BASIN WASHINGTON DC
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Two accurately machined hemispherical shells bound by ring-stiffened cylinders designed to provide ideal edge conditions were tested under hydrostatic pressure to determine the elastic buckling strength of near-perfect deep spherical shells. Ratios of experimental collapse pressure to the pressure calculated by using the classical small-deflection theory of 0.73 and 0.90 were obtained. The ratio of 0.90 is considerably higher than the ratios obtained in previous tests recorded in the literature. Since these models had small, unavoidable imperfections, the experimental results lend considerable support to the validity of the small-deflection analysis for the elastic buckling strength of initially perfect spheres.
- Theoretical Mathematics