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Buckling and Post-buckling Behaviour of Plates with Holes

Published online by Cambridge University Press:  07 June 2016

D Ritchie  and
J Rhodes
D Ritchie
Affiliation:
Naval Construction Research Establishment, Dunfermline
J Rhodes
Affiliation:
University of Strathclyde
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Summary

This paper gives details of theoretical and experimental investigations into the behaviour of simply-supported uniformly compressed square and rectangular plates with central circular holes. The theoretical analysis employs an approximate approach using a combination of Rayleigh-Ritz and finite-element methods. The experimental investigation consisted of a number of experiments on plates with hole diameters from one- to seven-tenths of the plate width. Agreement between experiment and theory is shown to be good at buckling. In the post-buckling range it is found that the theoretical analysis is reasonably accurate for small holes, but loses accuracy when dealing with large holes.

Type
Research Article
Information
Aeronautical Quarterly , Volume 26 , Issue 4 , November 1975 , pp. 281 - 296
Copyright
Copyright © Royal Aeronautical Society. 1975

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References

1 Levy, S Woolley, R M Kroll, W D Instability of a simply-supported square plate with a reinforced circular hole in edge compression. Journal of Research, National Bureau of Standards, Vol 39, December 1947.Google Scholar
2 Kumai, T Elastic stability of the square plate with a circular central hole under edge thrust. Reports of the Research Institute for Applied Mechanics, Vol 1, No.2, April 1952.Google Scholar
3 Schlack, A L Elastic stability of pierced square plates. Proceedings of the Society of Experimental Stress Analysis, Vol 21, pp 167–172, June 1964.Google Scholar
4 Schlack, A L Experimental critical loads for perforated square plates. Proceedings of the Society for Experimental Stress Analysis, Vol 25, pp 69–74, 1968.Google Scholar
5 Yoshiki, M Fujita, Y Kawamura, A Arai, H Instability of plates with holes (First Report). Proceedings of the Society of Naval Architects of Japan, No 122, December 1967.Google Scholar
6 Kawai, T Ohtsubo, H A method of solution for the complicated buckling problems of elastic plates with combined use of Rayleigh-Ritz’s procedure in the finite element method. Proceedings of the Second Air Force Conference on Matrix Methods in Structural Mechanics, Wright-Patterson Air Force Base, October 1968.Google Scholar
7 Timoshenko, S P Gere, J M Theory of Elastic Stability. McGraw-Hill, 1961.Google Scholar
8 Yu, W W Davis, C S Cold-formed steel members with perforated elements. Proceedings of the ASCE, Journal of the Structural Division, Vol 99, No ST10, October 1973.Google Scholar
9 Ritchie, D The buckling and post buckling behaviour of simply-supported rectangular plates with centrally-located circular holes. PhD thesis, University of Strathclyde, 1975.Google Scholar
10 Marguerre, K The apparent width of the plate in compression. NACA TM 833, 1937.Google Scholar
11 Coan, J M Large deflection theory for plates with small initial curvature loaded in edge compression. Journal of Applied Mechanics, Vol 18, Transactions ASME, Vol 73, pp 143–151, 1951.CrossRefGoogle Scholar
12 Rhodes, J Harvey, J M The post-buckling behaviour of thin flat plates in compression with the unloaded edges elastically restrained against rotation. Journal of Mechanical Engineering Science, Vol 13, p 2, 1971.CrossRefGoogle Scholar