After an investigation of membrane theory, solutions to the general equations for a thin shell of revolution of arbitrary meridian are obtained for rapidly varying sinusoidal edge loading. The solutions from membrane theory are shown to be valid for shells near spherical shape but can give quite misleading results, particularly for shells of negative curvature. The “edge-effect” solutions also are shown to become significantly modified for the high harmonics.
Shells of Revolution With Edge Loads of Rapid Circumferential Variation
C. R. Steele
Applied Mathematics Department, Lockheed Missiles and Space Division, Palo Alto, Calif.
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Steele, C. R. (December 1, 1962). "Shells of Revolution With Edge Loads of Rapid Circumferential Variation." ASME. J. Appl. Mech. December 1962; 29(4): 701–707. https://doi.org/10.1115/1.3640657
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