The axisymmetrical snapping of clamped shallow spherical shells has been studied by many authors. There is found to be a discrepancy between the experimental observation of the buckling pressure and their theoretical prediction. In this paper, a study is made of the buckling pressure based on the initiation of unsymmetrical deflection. An eigenvalue problem is formulated and the buckling pressures for shells of a large range of geometrical parameters are obtained numerically. The present work reduces the gap between experiment and theory.
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Unsymmetrical Buckling of Thin Shallow Spherical Shells
Stanford University, Division of Engineering Mechanics, Stanford, Calif.
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Huang, N. (September 1, 1964). "Unsymmetrical Buckling of Thin Shallow Spherical Shells." ASME. J. Appl. Mech. September 1964; 31(3): 447–457. https://doi.org/10.1115/1.3629662
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