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Mode Interaction with Stiffened Panels

  • A. van der Neut
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

Previous work on mode interaction refers to a column model consisting of two equal flanges. This model is extremely sensitive to imperfection. Actual panel structures are unsymmetrical: the plate side has more cross section than the topside of the stiffeners; and the plate side is more affected by local buckling than the topside. This effect is exaggeratedly represented in a model where the stiffeners do not participate in local buckling. It appears that the sensitivity to imperfections of this model is very little and restricted to geometric parameters R in the near vicinity of R = 1. These two models represent extreme cases. The position of actual tophat stiffened panels between these extremes is being explored. It appears that mode interaction is less severe than with the two flange model though still significant.

Keywords

Mode Interaction Initial Curvature Local Buckling Neutral Plane Plate Side 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Symbols

Symbols

K

compressive force

L

half of column length

P

compressive force of a plate strip

R

geometric parameter; K E/K 1

W

deflection of the axis of the structure

b

width of plate strip

j

radius of gyration of the cross section

l

half wave length in local buckling

w

deflection of plate strip

α

amplitude of plate imperfection: plate thickness

β

amplitude of column imperfection : j

ɛ

compressive strain at edge of strip

η

stiffness reduction factor

λ

half wave length: width of strip

Subscripts

E

refers to Euler buckling load

b

refers to overall buckling load

l

refers to local buckling load

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References

  1. 1.
    Koiter, W. T.; Skaloud, M.: Interventions. In: Comportement Postcritique des plaques utilisées en construction métallique. Colloque intern, a l’Université de Liège, 1962, Mémoires de la Société Eoyale des Sciences de Liège, série, tome VIII, fase. 5, pp. 64–68, 103, 104.Google Scholar
  2. 2.
    van der Neut, A.: The Interaction of Local Buckling and Column Failure of Thin-Walled Compression Members. Delft University of Technology, Dept. of Aer. Eng., Eep. VTH 149 (1968). In: Proc. 12th Int. Congr. Appl. Mech. Berlin, Heidelberg, New York: Springer 1969, pp. 389–399.Google Scholar
  3. 3.
    Meyer, J. J.; van der Neut, A.: The Interaction of Local Buckling and Column Failure of Imperfect Thin-Walled Compression Members. Rep, VTH 160 (1970).Google Scholar
  4. 4.
    van der Neut, A.: The Sensitivity of Thin-Walled Compression Members to Column Axis Imperfection. Rep. VTH 172 (1972). In: Int. J. Solids and Structures 9, 999–1011, (1973).CrossRefGoogle Scholar
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    Thompson, J. M. T.; Lewis, G. M.: On the Optimum Design of Thin-Walled Compression Members. J. Mech. Phys. Solids 20, 101–109 (1972).CrossRefGoogle Scholar
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    Tvergaard, V.: Imperfection Sensitivity of a Wide Integrally Stiffened Panel under Compression. The Danish center for Appl. Math, and Mech., Techn. Univ. of Denmark, Rep. no. 19 (1971).Google Scholar
  7. 7.
    Tvergaard, V.: Influence of Post-Buckling on Optimum Design of Stiffened Panels. Rep. no. 35 (1972).Google Scholar
  8. 8.
    van der Neut, A.: The Local Instability of Compression Members Built up from Flat Plates. Rep. VTH 47(1952). In: C. B. Biezeno Anniversary Volume on Appl. Mech. 1953, pp. 174 to 197. Techn. Uitgeverij H. Stam.Google Scholar

Copyright information

© Springer-Verlag, Berlin/Heidelberg 1976

Authors and Affiliations

  • A. van der Neut
    • 1
  1. 1.Technische HogeschoolDelftNetherlands

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