TECHNICAL PAPERS
Nov 1, 1989

Interaction of Buckling Modes of Panels with Symmetric Cross Section

Publication: Journal of Engineering Mechanics
Volume 115, Issue 11

Abstract

This paper deals with the nonlinear interaction between overall buckling and local buckling of stiffened panels with symmetric cross sections. Significant consequences of local buckling are reductions in the compressive and flexural rigidities of the entire cross section. It is indeed the reduction of the flexural rigidity that is responsible for the adverse nonlinear interaction between overall and local buckling. It is argued that the restriction to a single local mode should be adequate whenever the reduction in flexural rigidity is comparable to the reduction in compressive stiffness. This argument does not apply to a symmetric cross section in which significant deflections in the primary local mode occur on both sides of the neutral axis. In such cases the analysis should be improved by taking into account a second local mode. In the present paper the interactions between overall and two local buckling modes (primary and secondary mode) are considered for both the perfect and imperfect panel. Application of the present analysis to a square tube gives some important results.

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References

1.
Fan, Q. S. (1986). “Nonlinear interaction between overall buckling and local buckling of stiffened panels with symmetric cross‐sections,” WTHD Nr. 183, Delft University of Technology, Delft, The Netherlands.
2.
Graves Smith, T. R. (1969). “The ultimate strength of locally buckled columns of arbitrary length,” Thin walled steel structures, K. C. Rockey and H. V. Hill, eds., Crosby Lockwood and Son, London.
3.
Koiter, W. T., and Kuiken, G. D. C. (1971). “The interaction between local buckling and overall buckling on the behaviour of a built‐up column,” WTHD‐report 23, Delft, The Netherlands.
4.
Koiter, W. T. (1945). “Over de stabiliteit van het elastisch evenwicht (On the stability of elastic equilibrium),” thesis presented to Delft University, at Delft, The Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy. (NASA TT F‐10 (1967), AFFDL TR 70‐25 (1970)).
5.
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Koiter, W. T., and Pignataro, M. (1976). “An alternative approach to the interaction between local and overall buckling in stiffened panels,” IUTAM Symp. Buckling of Structures, Cambridge, Mass., 1974. Springer‐Verlag.
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Koiter, W. T., and Pignataro, M. (1976). “A general theory for the interaction between local and overall buckling of stiffened panels,” Report WTHD‐83, Delft Univ. of Tech., Dept. Mech. Engrg., Delft, The Netherlands.
8.
Koiter, W. T., and Van der Neut, A. (1980). “Interaction between local and overall buckling of stiffened compression panels, Part I & Part II, Thinwalled Structures,” J. Rhodes and A. C. Walker, eds., Granada, London.
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Van der Neut, A. (1969). “The interaction of local buckling and column failure of thin walled compression members,” Proc., 12th lnt. Congr. Theor. and Appl. Mech., Springer‐Verlag.
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Van der Neut, A. (1977). “The interaction of local and overall buckling in stiffened panels,” Report LR‐255, Delft Univ. of Tech., Dept. of Aerospace Engrg., Delft, The Netherlands.
11.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 11November 1989
Pages: 2526 - 2542

History

Published online: Nov 1, 1989
Published in print: Nov 1989

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Q. S. Fan
Prof., Dept. of Engrg. Mech., Tsinghua Univ., Beijing, China

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