Skip to main content
Log in

Buckling and postbuckling of stiffened cylindrical shells under axial compression

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Buckling and postbuckling behaviors of perfect and imperfect, stringer and orthotropically stiffened cylindrical shells have been studied under axial compression. Based on the boundary layer theory for the buckling of thin alastic shells suggested in ref. [1], a theoretical analysis is presented. The effects of material properties of stiffeners and skin, which are made of different materials, on the buckling load and postbuckling behavior of stiffened cylindrical shells have also been discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Shen, H.S. and T.Y. Chen, A boundary layer theory for the buckling of thin cylindrical shells under axial compression,Advances in Applied Mathematics and Mechanics in China,2, Int. Academic Publishers (1990), 155–172.

    MATH  MathSciNet  Google Scholar 

  2. Shang, J.C., W.J. Marulic and Sturm, R.G., Buckling of longitudinally stiffened cylinders,Proc. ASCE 90,ST5 (1964), 161–195.

    Google Scholar 

  3. Hedgepeth, J.M. and D.B. Hall, Stability of stiffened cylinders,AIAA J.,3 (1965), 2275–2286.

    Google Scholar 

  4. Stuhiman, C.E., A. De Luzio and B. Almorth, Influence of stiffener eccentricity and end moment on stability of cylinders in compression,AIAA J.,4 (1966), 872–877.

    Google Scholar 

  5. Milligan, R., G. Gerard and C. Lakshmikantham, General instability of orthotropically stiffened cylinders under axial compression,AIAA J.,4 (1966), 1906–1913.

    Google Scholar 

  6. Card, M.F., Preliminary results of compression tests on cylinders with eccentric longitudinal stiffeners, NASA TM X-1004 (1964).

  7. Katz, L., Compression tests on integrally stiffened cylinders, NASA TM X-55315 (1965).

  8. Card, M.F. and R.M. Jones, Buckling of axially compressed cylinders with eccentric longitudinal stiffeners,AIAA/ASME 7th Structures and Materials Conference, Cocoa Beach, April (1966), 23–24.

  9. Singer, J., M. Baruch and O. Harari, On the stability of eccentrically stiffened cylindrical shells under axial compression,Internat. J. Solids Structures,3 (1967), 445–470.

    Article  Google Scholar 

  10. Singer, J., J. Arbocz and C. D. Babcock, Jr., Buckling of imperfect stiffened cylindrical shells under axial compression,AIAA J.,9 (1971), 68–75.

    Google Scholar 

  11. Weller, T., J. Singer and S. C. Batterman, Influence of eccentricity of loading on buckling of stringer-stiffened cylindrical shells,Thin-Shell Structures, Theory, Experiment, and Design, Ed. Y. C. Fung and E. E. Sechler (1974), 305–324.

  12. Rosen, A. and J. Singer, Vibrations and buckling of eccentrically loaded stiffened cylindrical shells,Exp. Mech.,16 (1976), 88–94.

    Article  Google Scholar 

  13. Singer, J. and A. Rosen, The influence of boundary conditions on the buckling of stiffened cylindrical shells,Buckling of Structures, Ed. B. Budiansky (1976), 225–250.

  14. Rosen, A. and J. Singer, Vibrations and buckling of axially loaded stiffned cylindrical shells with elastic restraints.Internat. J. Solids Structures,12 (1976), 577–588.

    Article  MATH  Google Scholar 

  15. Weller, T. and J. Singer, Experimental studies on the buckling under axial compression of integrally stringer cricular cylindrical shells,J. Appl. Mech.,44 (1977), 721–730.

    Google Scholar 

  16. Singer, J. and H. Abramovich, vibration techniques for definition of practical boundary conditions in stiffened shells.AIAA J.,17 (1979), 762–769.

    Google Scholar 

  17. Tennyson, R.C. and D.B. Muggeridge, Buckling of axisymmetric imperfect circular cylindrical shells under axial compression,AIAA J.,7 (1969), 2127–2131.

    Article  Google Scholar 

  18. Tennyson, R.C., D.B. Muggeridge and R.D. Caswell, Buckling of circular cylindrical shells having axisymmetric imperfection distributions,AIAA J.,9 (1971), 924–930.

    Google Scholar 

  19. Tennyson, R.C., The effect of shape imperfections and stiffening on the buckling of circular cylinders,Buckling of Structures, Ed. B. Budiansky (1976), 251–275.

  20. Arbocz, J. and E.E. Sechler, On the buckling of stiffened imperfect cylindrical shells,AIAA J.,14 (1976), 1611–1617.

    MATH  Google Scholar 

  21. Sheinman, I. and G.J. Simitses, Buckling analysis of geometrically imperfect stiffened cylinders under axial compression,AIAA J.,15 (1977), 374–382.

    MATH  Google Scholar 

  22. Arbocz, J. and J.G. Williams, Imperfection surveys on a 10-ft-diameter shell structure,AIAA J.,15 (1977), 949–956.

    Google Scholar 

  23. Hutchinson, J. and C. Amazigo, Imperfection-sensitivity of eccentrically stiffened cylindrical shells,AIAA J.,5 (1967), 392–401.

    Google Scholar 

  24. Brush, D.O., Imperfection sensitivity of stringer stiffened cylinders.AIAA J.,6 (1968), 2445–2447.

    Google Scholar 

  25. Hutchinson, J.W. and J.C. Frauenthal, Elastic postbuckling behavior of stiffened and barreled cylindrical shells,J. Appl. Mech.,36 (1969), 784–790.

    Google Scholar 

  26. Fujita, Y. and Y. Nakata, Buckling strength of stiffened cylindrical shells,J. Soc. Naval Architects of Japan,135 (1974), 267–281.

    Google Scholar 

  27. Almroth, B.O., Postbuckling behavior of orthotropic cylinders under axial compression.AIAA J.,2 (1964), 1796–1799.

    Google Scholar 

  28. Esslinger, M. and B. Geier,Postbuckling Behavior of Structures, Springer-Verlag (1975).

  29. Walker, A.C. and B. Sridharan, Analysis of the behaviour of axially compressed stringer-stiffened cylindrical shells,Proc. ICE, Part 2,69 (1980), 447–472.

    Google Scholar 

  30. Ellinas, C.P., R.C., Batista and J.G.A. Croll, Overall buckling of stringer stiffened cylinders,Proc. ICE, Part 2,71 (1981), 479–512.

    Google Scholar 

  31. Ellinas, C.P. and J.G.A. Croll, Experimental and theoretical correlations for elastic buckling of axially compressed stringer stiffened cylinders,J. Strain Analysis,18 (1983), 41–67.

    Google Scholar 

  32. Dowling, P.J. and J.E. Harding, Experimental behaviour of ring and stringer-stiffened shells,Buckling of Shells in Offshore Structures, Ed. J.E. Harding, et al., (1982), 73–107.

  33. Harding, J.E. and P.J. Dowling, Analytical results for the behaviour of ring and stringer-stiffened shells,Buckling of Shells in Offshore Structures, Ed. J.E. Harding, et al. (1982), 183–208.

  34. Dowling, P.J., J.E. Harding, N. Agelidis and W. Fahy, Buckling of orthogonally stiffened cylindrical shells used in offshore engineering,Buckling of Shells, Ed. E. Ramm (1982), 239–273.

  35. Shen, H.S., Buckling and postbuckling of cross-ply laminated cylindrical shells under axial compression. (to be published)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by He Fu-bao

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hui-shen, S., Pin, Z. & Tie-yun, C. Buckling and postbuckling of stiffened cylindrical shells under axial compression. Appl Math Mech 12, 1195–1207 (1991). https://doi.org/10.1007/BF02456059

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456059

Key words

Navigation