Approximate solutions are obtained, by Newton’s method, for shells subjected to uniform and/or point loads in the prebuckled or postbuckled configurations. Comparison of results with numerical solutions shows maximum deviations of 5 percent for clamped shells subjected to uniform loads in the prebuckled configuration. Similar comparisons for other cases show larger deviations. A characteristic load is developed which compares favorably with numerical buckling loads.
Approximate Analytical Solutions of the Finite-Deflection Equations for a Shallow Spherical Shell
A. Holston, Jr.
The Martin-Marietta Corporation, Denver, Colo.
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Holston, A. (March 1, 1967). "Approximate Analytical Solutions of the Finite-Deflection Equations for a Shallow Spherical Shell." ASME. J. Appl. Mech. March 1967; 34(1): 65–72. https://doi.org/10.1115/1.3607670
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