Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-25T01:45:24.120Z Has data issue: false hasContentIssue false

Characteristic Equations in the Theory of Circular Cylindrical Shells

Published online by Cambridge University Press:  07 June 2016

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

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
Copyright
Copyright © Royal Aeronautical Society. 1962

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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