Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T15:39:29.473Z Has data issue: false hasContentIssue false

Post-Buckling of Rectangular Plates with Various Boundary Conditions

Published online by Cambridge University Press:  07 June 2016

K. R. Rushton*
Affiliation:
Department of Civil Engineering, University of Birmingham
Get access

Summary

The Dynamic Relaxation method is used to analyse the post-buckling of flat rectangular plates. Extensive results are obtained for two types of problem in which the transverse edges are unloaded; in one case the transverse edges remain straight, in the other they are free to wave. Comparisons are made with alternative experimental and theoretical results. The potentiality of this approach to post-buckling problems is demonstrated by considering a variable thickness plate with mixed boundary conditions.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1970

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. Cox, H. L. The buckling of plates and shells. Pergamon Press, Oxford, 1963.Google Scholar
2. Levy, S. Bending of rectangular plates with large deflections. NACA TN 846, 1942.Google Scholar
3. Coan, J. M. Large-deflection theory for plates with small initial curvature loaded in edge compression. Journal of Applied Mechanics. Vol. 18 p. 143, 1951.Google Scholar
4. Stein, M. Loads and deformations of buckled rectangular plates. NASA TR R-40, 1959.Google Scholar
5. Aalami, B. and Chapman, J. C. Large deflexion behaviour of rectangular orthotropic plates under transverse and in-plane loads. Proceedings of the Institution of Civil Engineers, Vol. 42 p. 347, 1969.Google Scholar
6. Rushton, K. R. Large deflexion of variable-thickness plates. International Journal of Mechanical Science, Vol. 10 p.723, 1968.Google Scholar
7. Rushton, K. R. Dynamic-relaxation solution for the large deflection of plates with specified boundary stresses. Journal of Strain Analysis, Vol. 4 p.75, 1969.Google Scholar
8. Rushton, K. R. Postbuckling of tapered plates. International Journal of Mechanical Science, Vol. 11 p. 461, 1969.Google Scholar
9. Supple, W. J. Coupled buckling modes of structures. Ph.D. Thesis, University College London, 1966.Google Scholar