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The Stability in Bending of Slightly Corrugated Plates

Published online by Cambridge University Press:  28 July 2016

D. G. Ashwell
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Extract

A previous paper was concerned with the uniform finite bending of a flat rectangular elastic plate about an axis parallel to one of its pairs of opposite edges. Expressions were obtained for the shape assumed by sections of the plate containing the axis of curvature, and the applied bending moment. In the present paper the work is extended to deal with a plate having shallow regular corrugations of arbitrary shape running along it at right angles to the axis of curvature. Such a plate may be of interest as it exhibits the type of instability characteristic of curved thin-walled members. Its solution can be derived quickly from the previous work.

Type
Research Article
Information
The Aeronautical Journal , Volume 56 , Issue 502 , October 1952 , pp. 782 - 788
Copyright
Copyright © Royal Aeronautical Society 1952

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References

1. Ashwell, D. G. (1950). The Anticlastic Curvature of Rectangular Beams and Plates. Journal of the Royal Aeronautical Society, November 1950.CrossRefGoogle Scholar
2. Ashwell, D. G. (1952). A Characteristic Type of Instability in the Large Deflections of Elastic Plates I. Curved Rectangular Plates Bent about One Axis. Proceedings of the Royal Society, A, Vol. 214, p. 98.Google Scholar
3. Love, A. E. H. (1927). Mathematical Theory of Elasticity, Cambridge, 4th Edition, 1927, p. 569.Google Scholar
4. Brazier, L. G. (1927). On the Flexure of Thin Cylindrical Shells and other “Thin” Sections, Proceedings of the Royal Society, A, Vol. 116, p. 104.Google Scholar