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The Behaviour of a Clamped Circular Plate in Compression

Published online by Cambridge University Press:  07 June 2016

A. N. Sherbourne
A. N. Sherbourne*
Affiliation:
University Engineering Laboratory, Cambridge
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Summary

A theoretical solution is presented for the problem of the clamped circular plate loaded in uniform compression. The solution employs a numerical method programmed for a digital computer. Instead of solving the classical von Kármán large deflection equations, a step-by-step integration of the elastic differential equations of equilibrium is carried out until suitable boundary conditions are attained. The method is an extension of one developed earlier to explain the behaviour of the simply-supported plate.

Type
Research Article
Information
Aeronautical Quarterly , Volume 12 , Issue 1 , February 1961 , pp. 51 - 64
Copyright
Copyright © Royal Aeronautical Society. 1961

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References

1. Bodner, S. R. The Post-Buckling Behaviour of a Clamped Circular Plate. Quarterly of Applied Mathematics, Vol. 12, 1954.Google Scholar
2. Friedrichs, K. O. and Stoker, J. J. Buckling of the Circular Plate Beyond the Critical Thrust. Journal of Applied Mechanics, Vol. 9, 1942.Google Scholar
3. Timoshenko, S. Theory of Plates and Shells. McGraw-Hill, 1940.Google Scholar
4. Sherbourne, A. N. The Elastic, Post-Buckling Behaviour of a Simply Supported Circular Plate. (To be published.)Google Scholar