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Imperfection sensitivity to elastic buckling of wind loaded open cylindrical tanks

  • Godoy, Luis A. (Department of Civil Engineering, University of Puerto Rico) ;
  • Flores, Fernando G. (Structures Department, National University of Cordoba)
  • Received : 2001.08.30
  • Accepted : 2002.02.28
  • Published : 2002.05.25

Abstract

This paper considers the buckling and post-buckling behavior of empty metal storage tanks under wind load. The structures of such tanks may be idealized as cantilever cylindrical shells, and the structural response is investigated using a computational model. The modeling employs a doubly curved finite element based on a theory by Simo and coworkers, which is capable of handling large displacements and plasticity. Buckling results for tanks with four different geometric relations are presented to consider the influence of the ratios between the radius and the height of the shell (R/L), and between the radius and the thickness (R/t). The studies aim to clarify the differences in the shells regarding their imperfection-sensitivity. The results show that thin-walled short tanks, with R/L = 3, display high imperfection sensitivity, while tanks with R/L = 0.5 are almost insensitive to imperfections. Changes in the total potential energy of tanks that would buckle under the same high wind pressures are also considered.

Keywords

References

  1. Croll, J.G.A. (1995), Shell buckling: A return to basic mechanics. In: Applied Mechanics in the Americas, 1,L.A. Godoy et al. (Eds.), American Academy of Mechanics, Blacksburg, VA, 410-417.
  2. Flores, F.G. and Godoy, L.A. (1991), "Instability of shells of revolution using ALREF: Studies for wind loadedshells", In: Buckling of Shells in Land, in the Sea and in the Air, J.F. Jullien (Ed.), Elsevier Applied Science,Oxford, 213-222.
  3. Flores, F.G. and Godoy, L.A. (1998), "Buckling of short tanks due to hurricanes", J. Eng. Struct., 20(8), 752-760. https://doi.org/10.1016/S0141-0296(97)00109-0
  4. Flores, F.G., Oñate, E. and Zárate, F. (1995), "New assumed strain triangles for nonlinear shell analysis",Comput. Mech., 17(1-2), 107-114. https://doi.org/10.1007/BF00356483
  5. Flores, F.G. (1996), ALPHA: A Static/Dynamic Implicit Finite Element Program, National University ofCordoba, Argentina.
  6. Godoy, L.A. (2000), Theory of Elastic Stability: Analysis and Sensitivity, Taylor and Francis, Philadelphia, PA.
  7. Greiner, R. and Derler, P. (1995), "Effect of imperfections on wind loaded cylindrical shells", Thin-WalledStructures, 23, 271-281. https://doi.org/10.1016/0263-8231(95)00016-7
  8. Kundurpi, P.S., Samavedam, G. and Johns, D.J. (1975), "Stability of cantilever shells under wind loads", ASCEJ. Eng. Mech. Div., 101(5), 517-530.
  9. Maher, F.J. (1966), "Wind loads on dome-cylinder and dome-cone shapes", ASCE J. Struct. Div., 92(5), 79-96.
  10. Megson, T.H.G., Harrop, J. and Miller, M.N. (1987), "The stability of large diameter thin-walled steel tankssubjected to wind loading", In Stability of Plate and Shell Structures, Proc. ECCS Colloquium, P. Dubas andD. Vandepitte (Eds.), University of Ghent, Belgium, 529-538.
  11. Onate, E., Zienkiewicz, O.C., Suárez, B. and Taylor, R.L. (1993), "A methodology for deriving shear constrainedReissner-Mindlin plate elements." Int. J. Numer. Meth. Engng., 33, 345-367.
  12. Purdy, D.M., Maher, F.J. and Frederick, D. (1967), "Model studies of wind loads on flat-top cylinders", ASCE J.Struct. Div., 93(2), 379-395.
  13. Resinger, F. and Greiner, R. (1982), "Buckling of wind-loaded cylindrical shells: Application to unstiffened andring-stiffened tanks", In Buckling of Shells, E. Ramm (Ed.), Springer-Verlag, Berlin, 305-331.
  14. Rish, R.F. (1967), "Forces in cylindrical shells due to wind", Proc. Institution of Civil Engineers, 36, 791-803. https://doi.org/10.1680/iicep.1967.8473
  15. Schmidt, H., Binder, B. and Lange, H. (1998), "Postbuckling strength design of open thin-walled cylindricaltanks under wind load", Thin-Walled Structures, 31, 203-220. https://doi.org/10.1016/S0263-8231(98)00009-3
  16. Simo, J.C., Fox, D.D. and Rifai, M.S. (1990), "On the stress resultant geometrically exact shell model, Part III:Computational aspects of the nonlinear theory", Comp. Meth. in Appl. Mech. and Eng., 73, 53-92. https://doi.org/10.1016/0045-7825(89)90098-4
  17. Simo, J.C. and Kennedy (1992), "On the stress resultant geometrically exact shell model, Part V: NonlinearPlasticity: formulation and integration algorithms", Comp. Meth. in Appl. Mech. and Eng., 96, 133-171. https://doi.org/10.1016/0045-7825(92)90129-8
  18. Uematsu, Y. and Uchiyama, K. (1985). "Deflections and buckling behavior of thin, circular shells under windloads",J. Wind Engineering and IndustrialAerodynamics, 18, 245-261. https://doi.org/10.1016/0167-6105(85)90084-4
  19. Wriggers, P. and Simo, J.C. (1990), "A general procedure for the direct computation of turning and bifurcationpoints." Int. J. Numer. Meth. Engng., 30, 155-176. https://doi.org/10.1002/nme.1620300110
  20. Yamada, S. and Croll, J.G.A. (1993), "Buckling and postbuckling characteristics of pressure-loaded cylinders",ASME J. Appl. Mech., 60, 290-299. https://doi.org/10.1115/1.2900792

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