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Vibration of Centrally Stiffened Rectangular Plate

Published online by Cambridge University Press:  04 July 2016

C. L. Kirk
C. L. Kirk*
Affiliation:
The Post Graduate Department of Applied Mechanics, The University of Sheffield
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Extract

Natural frequencies of free flexural vibration of rectangular plates may, in many cases, be considerably increased by attaching to the plate one or more elastic stiffening ribs parallel to one edge, or by casting or machining the plate and stiffeners integrally.

Hoppmann has determined by a semi-empirical method the natural frequencies of an integrally stiffened simply-supported square plate, using the concept of a homogeneous orthotropic plate of uniform thickness having elastic compliances which are equivalent to those of the stiffened plate. Filippov has obtained the exact solution for the fundamental frequency of a simply-supported square plate having a number of equally spaced stiffeners and has considered the effect of point loads applied to the stiffeners in a direction perpendicular to the plane of the plate.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 65 , Issue 610 , October 1961 , pp. 695 - 697
Copyright
Copyright © Royal Aeronautical Society 1961

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References

1.Hoppmann, W. H. (1955). Bending of Orthogonally Stiffened Plates. Journal of Applied Mechanics, Vol. 22, No. 2, p. 267, 1955.Google Scholar
2.Filippov, A. P. (1956). Vibration of Elastic Systems (in Russian). Published by the Academy of Sciences of the Ukrainian S.S.R., Kiev, 1956.Google Scholar
3.Kirk, C. L. (1960). Vibration Characteristics of Stiffened Plates. The Journal of Mechanical Engineering Science, Vol. 2, No. 3, p. 242, 1960.Google Scholar
4.Rayleigh, Lord (1894). Theory of Sound. Vol. 1, 2nd Edition. Macmillan & Co., Ltd., London, 1894.Google Scholar
5.Warburton, G. B. (1954). The Vibration of Rectangular Plates. Proc. Institution Mechanical Engineers, Vol. 168, p. 371, London, 1954.Google Scholar