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Post-Buckling Behaviour of Simply-Supported Cross-Ply Rectangular Plates

Published online by Cambridge University Press:  07 June 2016

M K Prabhakara
M K Prabhakara*
Affiliation:
University of Calgary, Canada;now at the University of Windsor, Ontario
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Summary

An analysis is presented for the post-buckling behaviour of simply-supported, laminated cross-ply rectangular plates subjected to biaxial compression. The solution to von Kármán-type large deflection equations of the plate is expressed as a double sine series for the transverse deflection and a double series of clamped-clamped beam functions for the force function. All the boundary conditions, including those involving the normal bending moment at the edges, are satisfied exactly. The series solution is found to converge rapidly. Using only the first few terms in the series, numerical results for square graphite-epoxy unsymmetric laminates under uniaxial compression is presented graphically.

Type
Research Article
Information
Aeronautical Quarterly , Volume 27 , Issue 4 , November 1976 , pp. 309 - 316
Copyright
Copyright © Royal Aeronautical Society. 1976

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References

1 Turvey, G J Wittrick, W H The large deflection and post-buckling behaviour of some laminated plates, Aero nautical Quarterly, Vol XXIV, p 77, 1973.Google Scholar
2 Chia, C Y Prabhakara, M K Postbuckling behaviour of unsymmetrically layered anisotropie rectangular plates, Journal of Applied Mechanics, Vol 41, p 155, 1974.CrossRefGoogle Scholar
3 Jones, R M Buckling and vibration of unsymmetrically laminated cross-ply rectangular plates. AIAA Journal, Vol 11, p 1626, 1973.Google Scholar
4 Chandra, R Postbuckling analysis of crossply laminated plates, AIAA Journal, Vol 13, p 1388, 1975.Google Scholar
5 Green, A E Hearmon, R F S The buckling of flat rectangular plywood plates, Philosophical Magazine, Series 7, Vol 36, p 659, 1945.Google Scholar
6 Bishop, R E D Johnson, D C The Mechanics of Vibration, Cambridge University Press, 1960.Google Scholar