Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-05-19T08:23:43.647Z Has data issue: false hasContentIssue false

Flexural Vibrations of a Thin-Walled Cylinder of Rectangular Cross Section

Published online by Cambridge University Press:  07 June 2016

E. H. Mansfield*
Affiliation:
Royal Aircraft Establishment
Get access

Summary

The natural transverse vibrations of a long cylindrical box of doubly symmetrical rectangular cross section are considered. Explicit stress-function solutions are obtained for the webs and the top and bottom surfaces so that the effects of shear lag and shear deflection are inherently included. The results are expressed simply in terms of an effective flexural rigidity, which may be determined with the aid of a number of graphs.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1958

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. Timoshenko, S. Vibration Problems in Engineering, 1st Edition, p. 226. McGraw-Hill, New York, 1928.Google Scholar
2. Traill-nash, R. W. and Collar, A. R. Effects of Shear Flexibility and Rotatory Inertia on the Bending Vibrations of Beams. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 6, pp. 186222, June 1953.Google Scholar
3. Anderson, R. A. and Houbolt, J. C. Effect of Shear Lag on Bending Vibration of Box Beams. N.A.C.A. T.N. 1583, May 1948.Google Scholar
4. Davenport, W. W. and Kruszewski, E. T. A Substitute-Stringer Approach for Including Shear-Lag Effects in Box-Beam Vibrations. N.A.C.A. T.N. 3158, January 1954.Google Scholar
5. Davenport, W. W. The Accuracy of the Substitute-Stringer Approach for Determining the Bending Frequencies of Multi-Stringer Box Beams. N.A.C.A. T.N. 3636, April 1956.Google Scholar