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Recent Data on the Collapse of Spherical Caps under External Pressure

Published online by Cambridge University Press:  04 July 2016

Bertram Klein
Bertram Klein*
Affiliation:
Douglas Aircraft Co., Missile and Space Systems Division, California
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Extract

Recently additional tests have been performed to measure the external pressure necessary to collapse spherical caps. Bellinfante used plastic domes that were machined readily and accurately to final size. The Douglas test data shown in Fig. 1 are considered to be excellent. (2b is the base of the dome).

Thurston used aluminium caps that were chemically etched to final size. However, he intentionally put small dents at the apex. These initial distortions cause wide scatter in the test data as shown in Figs. 2(a) and 2(b). Examination of the recorded waviness reported -by Thurston indicates that the more perfect shells reached higher loads than the others. Note, for example, specimens 1, 6, 11, 16, 28, and 38. Also, usually the more wavy specimens exhibited the lower buckling loads. See specimens 4, 7, 9, 12, 17, 22, 27. Since Thurston's specimens were chemically etched to very thin gauges, the thickness variation could be significant. He does not report actual thickness variation in the shell, but states it could be about 15 per cent at worst.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 662 , February 1966 , pp. 366 - 367
Copyright
Copyright © Royal Aeronautical Society 1966

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References

1.Bellinfante, R. J. Fabrication and Experimental Evalua tion of Common Domes Having Waffle-Like Stiffening. Douglas Report SM47742, November 1964.Google Scholar
2.Thurston, G. A.Effect of Axisymmetric Imperfections on the Buckling of Spherical Caps Under Uniform Pres-sure. AIAA 6th Structures and Materials Conference, Palm Springs, California, pp 85–98, April 1965.Google Scholar
3.Thompson, J. M. T.The Elastic Instability of a Complete Spherical Shell. The Aeronautical Quarterly, pp 189–201, May 1962.Google Scholar
4.Thurston, G. A. Effect of Imperfections on Nonlinear Axisymmetric Bending and Buckling of Thin Shells. General Electric Co, Report R61FPD 545, 1961.Google Scholar
5.Thurston, G. A. Axisymmetric Bending and Buckling of Thin Shells of Revolution. Martin Co Report SR-0530-64-2, 1964.Google Scholar
6.Thurston, G. A. and Penning, F. A. Effect on Initial Imperfection of the Stability of Shallow Spherical Shells. AFOSR Scientific Report No 64-1627, 1964.Google Scholar
7.Klein, B. Additional Information on the Collapse of Pressure Loaded Spherical Shells. Journal of the Royal Aeronautical Society, September 1964.CrossRefGoogle Scholar
8.Famili, J. and Archer, R. R.Finite Asymmetric Defor mation of Shallow Spherical Shells. AIAA Journal, Vol 3, No 3, pp 506–510, March 1965.Google Scholar
9.Burns, J. J. Jr.Experimental Buckling of Thin Shells of Revolution. Proc Amer Soc Civil Engrs, Vol 90 EM 3 (J Engrg Mech Div) (Part 1), pp 171–193, June 1965.Google Scholar
10.Krenzke, M. A. and Kiernan, T. J. The Effect of Initial Imperfections on the Collapse Strength of Deep Spherical Shells. David Taylor Model Basin Report 1757, February 1965.Google Scholar
11.Parmerter, R. R.Comment on Unsymmetrical Buckling of Thin Spherical Shells. Journal of Applied Mechanics, p 466, June 1965.Google Scholar
12.Thompson, J. M. T.The Elastic Instability of Spherical Shells. PhD Dissertation, Cambridge University, September 1961.Google Scholar
13.Wedeixsborg, B. W.Critical Buckling Load on Large Spherical Shells. Journal of Structural Division, ASCE, Vol 88, No ST1, February 1962.Google Scholar
14.Shkutin, L. I.Post-Critical Deformations and Stability of a Shallow Spherical Segment (in Russian). Prikl mat Mekh, No 4, pp 101–104, 1964.Google Scholar
15.Lakshmikantham, C. and Gerard, G.Plastic Stability of Spherical Plates. AIAA Journal, Vol 2, No 11, pp 1999–2003, November 1964.Google Scholar
16.Sabir, A. B.Large Deflection and Buckling Behavior of a Spherical Shell with Inward Point Load and Uniform External Pressure. Journal of Mech Eng Sc, Vol 4, No 6, pp 394–404, December 1964.Google Scholar
17.Humphreys, J. S., Roth, R. S. and Zatlers, J.Experiments on Dynamic Buckling of Shallow Spherical Shells under Shock Loading. AIAA Journal, Vol 3, No 1, pp 33–39, January 1965.Google Scholar
18.Dercach, P. KH. and Shevchenko, V. P.On the Load Carrying Capacity of a Shallow Spherical Shell. Eng Journal, Vol. V, No. 1, 1965.Google Scholar
19.Loo, T. C. and Evan-iwanowski, R. M.Experiments on Stability on Spherical Caps. J Engrg Mech Div Proc Amer Soc Civil Engrs, Vol 90 EM3 (Part 1), pp 255–270, June 1964.Google Scholar