Stability limits for a clamped spherical shell segment under uniform pressure

Author:
Robert R. Archer

Journal:
Quart. Appl. Math. **15** (1958), 355-366

MSC:
Primary 73.00

DOI:
https://doi.org/10.1090/qam/98515

MathSciNet review:
98515

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Abstract: An integration procedure for the differential equations for the finite deflections of clamped shallow spherical shells under uniform pressure is developed. Stability limits for the clamped shell are obtained for a range of the central height to thickness ratio from about 1 to 35. This serves to correct and extend previously known stability limits for this problem.

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DOI:
https://doi.org/10.1090/qam/98515

Article copyright:
© Copyright 1958
American Mathematical Society