Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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

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