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Deformation Equations for Non-Circular Cylinders

Published online by Cambridge University Press:  04 July 2016

D. S. Houghton  and
D. J. Johns
D. S. Houghton
Affiliation:
Department of Aircraft Design, College of Aeronautics
D. J. Johns
Affiliation:
Department of Aircraft Design, College of Aeronautics
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Extract

As far as is known, no explicit solution exists in the literature for the displacement equations in u, v and w, for a uniform cylinder of arbitrary cross section subjected to a lateral pressure loading. However, the advent of Ref. 1 now makes available an admirable treatise devoted entirely to the analysis of thin elastic shells. The equations developed in this reference apply only to linear problems, i.e. the displacements are assumed to be small in comparison with the thickness of the shell, but they are general enough to include all shells of arbitrary curvature. Unfortunately the generality of these equations inhibits their immediate use to cylindrical shell problems, and it is the purpose of this note to present the essential features of the theory for non-circular cylinders.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 64 , Issue 600 , December 1960 , pp. 765 - 766
Copyright
Copyright © Royal Aeronautical Society 1960

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References

1.Novozhilov, V. V. (1959). The Theory of Thin Shells. P. Noordhoff Ltd., 1959.Google Scholar
2.Timoshenko, S. (1940). Theory of Plates and Shells, p. 440, McGraw Hill Co., 1940 (1st Edition).Google Scholar
3.Jaeger, L. G. and Chilver, A. H. (1960). Characteristic Equations in the Theory of Circular Cylindrical Shells (Paper E. Symposium on Nuclear Reactor Containment Buildings and Pressure Vessels), Butterworths Scientific Publications, London, 1960.Google Scholar