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Creep Buckling of Circular Cylindrical Shells in Pure Bending

Published online by Cambridge University Press:  04 July 2016

N. J. Hoff
Affiliation:
Stanford University
L. Wang
Affiliation:
Stanford University

Extract

In a paper published in 1956 the senior author analysed the problem of the creep bending and buckling of a reinforced circular cylindrical shell subjected to the action of a bending moment constant in time and along the axis of the shell. With the aid of the principle of virtual displacements he found that the problem is governed by two simultaneous non-linear first-order differential equations. The equations were integrated step by step with the aid of a desk calculator and satisfactory agreement was found between theory and experiment when the results were compared with experimental data obtained in the laboratory of the Polytechnic Institute of Brooklyn. The experimental investigation and its results were described in ref. 1 as well as in a research memorandum of the National Advisory Committee for Aeronautics and the theory was presented in detail at the Symposium on Structural Problems of High-Speed Flight held at Cranfield, England, in August 1956 and published in the Journal of the Royal Aeronautical Society in 1957.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1971 

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References

1. Hoff, N. J., Erickson, B., Patel, S. A., French, F. W. and Lederman, S. Creep Bending and Buckling of Thin Circular Cylindrical Shells, Polytechnic Institute of Brooklyn, PIBAL Report No 355, July 1956.Google Scholar
2. Erickson, B., Patel, S. A., French, F. W., Lederman, S. and Hoff, N. J. Experimental Investigation of Creep Bending and Buckling of Thin Circular Cylindrical Shells, National Advisory Committee for Aeronautics, Research Memorandum RM 57E17, July 23 1957.Google Scholar
3. Hoff, N. J. Buckling at High Temperature, Journal of the Royal Aeronautical Society, Vol 61, No 563, pp. 756774, November 1957.Google Scholar
4. Brazier, L. G. The Flexure of Thin Cylindrical Shells and Other “Thin” Sections, ARC R and M No 1081, 1927.Google Scholar
5. Hoff, N. J. Instability of Monocoque Structures in Pure Bending, Journal of the Royal Aeronautical Society, Vol 42, No 328, p. 291, April 1938.Google Scholar
6. Hoff, N. J. The Perplexing Behaviour of Thin Circular Cylindrical Shells in Axial Compression. The Second Theodore von Kármán Memorial Lecture. Israel Journal of Technology, Vol 4, No 1, pp. 128, 1966.Google Scholar
7. Koiter, W. T. Over de Stabiliteit van het elastisch Even-wicht, Paris, H. J., Amsterdam, Holland, 1945.Google Scholar
8. Kempner, J. and Patel, S. A. Creep Buckling of Columns, Polytechnic Institute of’ Brooklyn PIBAL Report No 205, Brooklyn, November 1952; see also NACA Technical Note 3138, January 1954.Google Scholar
9. Hoff, N. J. Effets thermiques dans le calcul de la resistance des structures d’avions et d’engins, Groupe Consultatif pourla Recherche et la Réalisation Aéronautiques, Report 52, NATO, January 1956.Google Scholar
10. Hoff, N. J. Creep Buckling of Rectangular Plates under Uniaxial Compression, Engineering Plasticity, papers for a Conference held in Cambridge, March 1968, honouring Sir John Baker, edited by Heyman, J. and Leckie, F. A., Cambridge University Press, pp. 257276, 1968.Google Scholar