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Abstract

This paper presents a finite element study of the non-linear buckling behaviour of column-supported steel cylinders. Both perfect and imperfect shells are examined. High compressive stresses develop in the vicinity of the column support and these can lead to buckling of the shell at a load much lower than that for a uniformly supported shell. Imperfections are shown to play an important role in reducing the buckling load even when the structure is supported on a small number of columns.

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References

  1. H.Ory, H.G.Reimerdes and W.Tritsch. Beitrag zur bemessung der schalen von metallsilos. Stahlbau. 8, pp 243–248 (1958).

    Google Scholar 

  2. H.Ory and H.G.Reimerdes. Stresses in and stability of thin walled shells under non—ideal load distribution. Proc. Int. Colloquium on the Stability of Plate and Shell Structures, Gent, Belgium, 6–8 April, ECCS, pp 555–561 (1987).

    Google Scholar 

  3. Z.Bodarski, E.Hotala and H.Pasternak. Untersuchung des spannungszustande im mantel von metallsilos“. Proc., 10th Internationaler Kongress uber Anwendungen der Mathematik in den Ingenieurwissenschaften, Weimar. (1984).

    Google Scholar 

  4. P.L.Gould, S.K.Sen, R.S.C.Wang and D.Lowrey. Column—supported cylindrical conical tanks. J. Struct Divn, ASCE. 102 (ST2), pp 429–447 (1976).

    Google Scholar 

  5. J.M.Rotter. Analysis of ringbeams in column—supported bins. Proc., Eighth Australasian Conference on the Mechanics of Structures and Materials, University of Newcastle, Aug. (1982).

    Google Scholar 

  6. J.M.Rotter. Analysis and design of ringbeams. in Design of Steel Bins for the Storage of Bulk Solids, edited by J.M. Rotter, Univ. Sydney, March, pp 164–183 (1985).

    Google Scholar 

  7. L.A.Samuelson. Design of cylindrical shells subjected to local loads in combination with axial or radial pressure. Proc. Int. Colloquium on the Stability of Plate and Shell Structures, Gent, Belgium, 6–8 April, ECCS, pp 589–596 (1987).

    Google Scholar 

  8. D.Abir and S.V.Nardo. Thermal buckling of circular cylindrical shells under circumferential temperature gradients. Jnl of the Aerospace Sciences. 26 (12), pp 803–808 (1958).

    MathSciNet  Google Scholar 

  9. D.L.Bijlaard and R.H.Gallagher. Elastic instability of a cylindrical shell under arbitrary circumferential variation of axial stresses. Jnl of the Aerospace Sciences. 27(11), pp 854–858 and 866 (1959).

    Google Scholar 

  10. N.J.Hoff, C.C.Chao and W.A.Madsen. Buckling of a thin—Walled circular cylindrical shell heated along an axial strip. Jnl of Appl. Mech., ASME. 31, pp 253–258 (1964).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. D.J.Johns. On the linear buckling of circular cylindrical shells under asymmetric axial compressive stress distribution. Jnl of the Royal Aeronautical Society, Dec. pp 1095–1097 (1966).

    Google Scholar 

  12. A.Libai and D.Durban. A method for approximate stability analysis and its application to circular cylindrical shells under circumferentially varying loads. Jnl Appl. Mech., ASME. 40, pp 971–976 (1973).

    Article  ADS  MATH  Google Scholar 

  13. A.Libai and D.Durban. Buckling of cylindrical shells subjected to nonuniform axial loads. Jnl Appl. Mech., ASME. 44, pp 714–720 (1977).

    Article  ADS  MATH  Google Scholar 

  14. J.M.Rotter. The analysis of steel bins subject to eccentric discharge. Proc., Second International Conference on Bulk Materials Storage Handling and Transportation, Institution of Engineers, Australia, Wollongong, July, pp 264–271 (1976).

    Google Scholar 

  15. J.M.Rotter and J.O.Teng. Elastic stability of cylindrical shells with weld depressions. Journal of Structural Engineering, ASCE. 115 (5), pp 1244–1263 (1989).

    Article  Google Scholar 

  16. M.J.Clarke and J.M.Rotter (1988) A technique for the measurement of imperfections in prototype silos and tanks. Research Report R565, School of Civil and Mining Engineering, University of Sydney, March, (1988).

    Google Scholar 

  17. J.M.Rotter. Calculated buckling strengths for the cylindrical wall of 10,000 tonne silos at port kembla“, Investigation Report S663, School of Civil and Mining Engineering, University of Sydney, June, (1988).

    Google Scholar 

  18. FEA, LUSAS User’s Manual and LUSAS Theory Manual, Version 9, Finite Element Analysis Ltd, Surrey, U.K., (1989).

    Google Scholar 

  19. B.M.Irons. The semi-loot shell element. in Finite Elements for Thin Shells and Curved Members, eds. Ashwell and Gallagher, Wiley, (1976).

    Google Scholar 

  20. A.Kildegaard. Bending of a cylindrical shell subject to axial loading. Proc., Second Symposium on Theory of Thin Shells, IUTAM, Copenhagen, Sept 1967, Springer, pp 301–315 (1969).

    Google Scholar 

  21. J.G.Teng and J.M.Rotter. The nonlinear and buckling behaviour of column—supported cylinders. Research Report 90. 9, Department of Civil Engineering, University of Edinburgh, U.K., 1990.

    Google Scholar 

  22. M.A.Crisfield. A fast incremental/iterative solution procedure that handles snap—through. Computers and Structures. 13, pp 55–62 (1981)

    Article  MATH  Google Scholar 

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© 1992 Springer-Verlag Berlin Heidelberg

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Teng, J.G., Rotter, J.M. (1992). A Study of Buckling in Column-Supported Cylinders. In: Křupka, V., Drdácký, M. (eds) Contact Loading and Local Effects in Thin-walled Plated and Shell Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02822-3_7

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  • DOI: https://doi.org/10.1007/978-3-662-02822-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02824-7

  • Online ISBN: 978-3-662-02822-3

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