Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-28T08:16:14.839Z Has data issue: false hasContentIssue false

Vibration of Stiffened Plates

Published online by Cambridge University Press:  07 June 2016

Thein Wah*
Affiliation:
Southwest Research Institute, San Antonio, Texas
Get access

Summary

This paper presents a general procedure for calculating the natural frequencies of rectangular plates continuous over identical and equally spaced elastic beams which are simply-supported at their ends. Arbitrary boundary conditions are permissible on the other two edges of the plate. The results are compared with those obtained by using the orthotropic plate approximation for the system

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1964 

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. Veletsos, A. S. and Newmark, N. M. Determination of Natural Frequencies of Continuous Plates Hinged Along Two Opposite Edges. Transactions of the American Society of Mechanical Engineers, Vol. 78, p. 97, 1956.Google Scholar
2. Dill, E. H. and Pister, K. S. Vibration of Rectangular Plates and Plate Systems. Proceedings of the Third U.S. National Congress of Applied Mechanics, p. 123, 1958.Google Scholar
3. Lin, Y. K. Free Vibration of Continuous Skin-Stringer Panels. Journal of Applied Mechanics, Vol. 27, No. 4, p. 669, December 1960.Google Scholar
4. Bishop, R. E. D. and Johnson, D. C. The Mechanics of Vibration, p. 247. Cambridge University Press, 1960.Google Scholar
5. Courant, R. and Hilbert, D. Methods of Mathematical Physics, Vol. 1, pp. 418424, especially Theorems 8 and 9. Interscience Publishers, New York, 1953.Google Scholar
6. Huffington, N. J. Jr. and Hoppmann, W. H. II. Transverse Vibration of Rectangular Orthotropic Plates. Journal of Applied Mechanics, Vol. 25, No. 3, p. 389, September 1958.Google Scholar
7. Huffington, N. J. Jr. Theoretical Determination of Rigidity Properties of Orthogonally Stiffened Plates. Journal of Applied Mechanics, Vol. 23, No. 1, p. 15, March 1956.Google Scholar