Stability limits for a clamped spherical shell segment under uniform pressure-Reference-Cited by-同舟云学术

Stability limits for a clamped spherical shell segment under uniform pressure

Published:1958 Issue:4 Volume:15 Page:355-366
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Archer Robert R.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1958-15-04/S0033-569X-1958-98515-7/S0033-569X-1958-98515-7.pdf

Reference16 articles.

1. C. B. Biezeno, Über die Bestimmung der “Durchschlagkraft” einer schwachgekrümmten, kreisförmigen Platte, Z.A.M.M. 15, 10-22 (1935)

2. V. I. Feodosev, On the stability of a spherical shell under the action of an external uniform pressure, (in Russian), Prikl. Mat. Mek. (1) 18, 35-42 (1954)

3. On the minimum buckling load for spherical shells;Friedrichs, K. O.,1941

4. A nonlinear theory of bending and buckling of thin elastic shallow spherical shells;Kaplan, A.;NACA Tech. Note,1954

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Combined influence of shallowness and geometric imperfection on the buckling of clamped spherical shells;Journal of the Mechanics and Physics of Solids;2024-04

2. Effect of Friction on Buckling Behavior in Shallow Spherical to Hemispherical Shells in Contact with Rigid Boundaries under Uniform External Pressure;Advances in Science and Technology Research Journal;2024-02-01

3. Asymptotic Solution for Nonlinear Buckling of Orthotropic Shells on Elastic Foundation;AIAA Journal;2009-07

4. Influence of Axisymmetric Initial Imperfections of a Spherical Shell on its Critical Load;Izvestiya MGTU MAMI;2008-01-10

5. Numeric-Analytic Form of the Adomian Decomposition Method for Two-Point Boundary Value Problems in Nonlinear Mechanics;Journal of Engineering Mechanics;2007-10