Long free strips of small thickness frequently show a wavy surface being the consequence of buckling due to residual stresses. The paper deals with the derivation of the corresponding relations under conditions which are frequently met in the case of edge wave buckling of rolled strips or in deployable structures. It is shown that an increasing global tension force does not only lead to increased critical residual stress intensity but also produces shorter buckling waves concentrated towards the edges of the strip. By introducing dimensionless quantities, diagrams and formulas are provided which allow the determination of critical loading combinations. Asymptotic considerations are also presented.
Issue Section:
Technical Papers
1.
Fischer
, F. D.
, Rammerstorfer
, F. G.
, Friedl
, N.
, and Wieser
, W.
, 2000
, “Buckling Phenomena Related to Rolling and Levelling of Sheet Metal
,” Int. J. Mech. Sci.
, 42
, pp. 1887
–1910
.2.
Fischer
, U.
, 1976
, “Stabilita¨t des freien Plattenstreifens mit eine Gleichgewichtsgruppe bildenden La¨ngseigenspannungen
,” Z. Angew. Math. Mech.
, 56
, p. 331
331
.3.
Tomita, Y., and Shao, H., 1993, “Buckling Behavior in Thin Sheet Metal Subjected to Nonuniform Membrane-Type Deformation,” Advances in Engineering Plasticity and its Applications W. B. Lee, ed., Elsevier, Amsterdam, pp. 923–930.
4.
Komori
, K.
, 1998
, “Analysis of Cross and Vertical Buckling in Sheet Metal Rolling
,” Int. J. Mech. Sci.
, 40
, pp. 1235
–1246
.5.
Friedl
, N.
, Rammerstorfer
, F. G.
, and Fischer
, F. D.
, 1999
, “Zum Beulen von Platten unter globalem Zug
,” Z. Angew. Math. Mech.
, 79
, Supplement 2, pp. 545
–546
.6.
Tarnopolskaya
, T.
, and de Hoog
, F. R.
, 1998
, “An Efficient Method for Strip Flatness Analysis in Cold Rolling
,” Math. Engng. Ind.
, 7
, pp. 71
–95
.7.
Yuan
, S.
, and Jin
, Y.
, 1998
, “Computation of Elastic Buckling Loads of Rectangular Thin Plates Using the Extended Kantorovich Method
,” Comput. Struct.
, 66
, pp. 861
–867
.Copyright © 2001
by ASME
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