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An Experimental Study of the Static and Dynamic Behaviour of a Tensioned Sheet with a Rectangular Opening

Published online by Cambridge University Press:  07 June 2016

P K Datta
P K Datta*
Affiliation:
Indian Institute of Technology, Kharagpur
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Summary

The results of an experimental study of the buckling and vibration behaviour of tensioned sheets with a rectangular opening are presented. The buckling phenomenon involves the existence of a non-uniform pre-buckle stress state in the vicinity of the opening. The local buckling load has been estimated on the basis of the modified Southwell method. The effect of parameters like cut-out size, sheet width, sheet thickness and cut-out corner radius has been investigated. The data from the vibration experiments indicate that the load versus frequency behaviour is dependent on the size of the test specimen and the opening shape. It has been observed that, for certain combinations of plate and opening parameters, the load versus frequency plot has a minimum corresponding to the local buckling of the free edge of the hole. For other plate and opening parameters it shows only a kink corresponding to the local buckling of the free edge of the cut-out. The buckling load for the opening shapes obtained from both the static and dynamic experiments are compared, showing good agreement.

Type
Research Article
Information
Aeronautical Quarterly , Volume 27 , Issue 4 , November 1976 , pp. 257 - 262
Copyright
Copyright © Royal Aeronautical Society. 1976

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References

1 Cherepanov, G P On the buckling under tension of a membrane containing holes. Applied Mathematics and Mechanics (translated PMM), Vol 27, p 405, 1963.Google Scholar
2 Dixon, J R Strannigan, J S Stress distribution and buckling in thin sheets with central slits. 2nd International Conference on Fracture, Brighton, England, April 1969.Google Scholar
3 Carlson, R L Harrison, J Zielsdorff, G Buckling in cracked thin sheets. Proceedings of the US Air Force Conference on Fatigue and Fracture of Aircraft Structures and Materials, AFFDL-TR-70-144, p 193, 1970.Google Scholar
4 Petyt, M The vibration characteristics of a tensioned plate containing a fatigue crack. Journal of Sound and Vibration, Vol 8, p 377, 1968.Google Scholar
5 Zielsdorff, G Carlson, R L On moderately large deflection of multi-ply connected plates. Journal of the Aeronautical Society of India, Vol 24, p 425, November 1972.Google Scholar
6 Datta, PK Carlson, R L Buckling and vibration of a thin tensioned sheet with an elliptical hole. The Journal of Experimental Mechanics, Vol 13, pp 280–289, July 1973.Google Scholar
7 Zielsdorff, G Carlson, R L On the buckling of thin tensioned sheets with cracks and slots. Engineering Fracture Mechanics, Vol 4, p 83, December 1972.Google Scholar
8 Timoshenko, SP Gere, J M Theory of Elastic Stability. McGraw-Hill, New York, 1961.Google Scholar
9 Carlson, RL Datta, P K On the analysis of plate stability experiments. Proceedings of the XIV South American Conference of Structural Engineering and IV Pan American Symposium of Structures, Buenos Aires, October 1970, Vol III, pp 1–33.Google Scholar
10 Bingham, W L A contribution to photoelastic structural stability analysis. PhD thesis, Pennsylvania State University, 1961.Google Scholar