Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-15T08:29:17.387Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

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 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