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Characteristic Equations in the Theory of Circular Cylindrical Shells

Published online by Cambridge University Press:  07 June 2016

Ivar Holand
Ivar Holand*
Affiliation:
The Technical University of Norway, Trondheim
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Summary

Closed form solutions are given of the characteristic equation of the Hiigge theory with circumferential series expansion. Specialisations to simplified theories are shown.

Type
Research Article
Information
Aeronautical Quarterly , Volume 13 , Issue 1 , February 1962 , pp. 88 - 91
Copyright
Copyright © Royal Aeronautical Society. 1962

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References

1. Houghton, D. S. and Johns, D. J. A Comparison of the Characteristic Equations in the Theory of Circular Cylindrical Shells. Aeronautical Quarterly, Vol. XII, p. 228, August 1961.CrossRefGoogle Scholar
2. Flügoe, W. Statik und Dynamik der Schalen. Springer, Berlin, 1934.Google Scholar
3. Holand, I. Design of Circular Cylindrical Shells. Oslo University Press, Oslo 1957.Google Scholar
4. Donnell, L. H. A Discussion of Thin Shell Theory. Proceedings of the Fifth International Congress for Applied Mechanics. Cambridge, Massachusetts, 1938, p. 66. van Nostrand, New York, 1939.Google Scholar
5. Morley, L. S. D. An Improvement on Donnell's Approximation for Thin-Walled Circular Cylinders. Quarterly Journal of Mechanics and Applied Mathematics. Vol. XII, Part 1, p. 89, February 1959.CrossRefGoogle Scholar
6. Donnell, L. H. Stability of Thin-Walled Tubes under Torsion. N.A.C.A. Report 479, 1933.Google Scholar
7. Holand, I. An Application of Donnell's Theory of Circular Cylindrical Shells to the Analysis of Curved Edge Disturbances. International Association for Bridge and Structural Engineering Publications, Vol. 19, p. 65, 1959.Google Scholar
8. Holand, I. Curved Edge Disturbances in Circular Cylindrical Shells. International Association for Bridge and Structural Engineering Publications, Vol. 20, p. 123, 1960.Google Scholar