Interaction and multiscale mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Approximate formulation for bifurcation buckling loads of axially compressed cylindrical shells with an elastic core

  • Received : 2011.06.01
  • Accepted : 2011.08.15
  • Published : 2011.12.25
⟨ Previous Next ⟩

Abstract

This paper proposes an approximate formulation to estimate the bifurcation buckling loads of cylindrical shells with soft elastic cores under the conditions of axial compression. In general, thin-walled, axially compressed cylindrical shells buckle into a diamond pattern in the elastic range. However, buckling symmetrical with respect to the axis of the cylinder may occur when the cylindrical shell is supported by an elastic medium. By considering this characteristic, we introduce the simplified approximate formulation that can give sufficiently accurate results for the bifurcation buckling loads of cylindrical shells. Moreover the results are compared with the exact buckling loads in order to confirm the accuracy of the proposed approximate formulation.

Keywords

References

  1. Arjomandi, K. and Taheri, F. (2010), "Elastic buckling capacity of bonded and unbonded sandwich pipes under external hydrostatic pressure", J. Mech. Mater. Struct., 5(3), 391-408. https://doi.org/10.2140/jomms.2010.5.391
  2. Arjomandi, K. and Taheri, F. (2011a), "Stability and post-buckling response of sandwich pipes under hydrostatic external pressure", Int. J. Pres. Ves. Pip., 88(4), 138-148. https://doi.org/10.1016/j.ijpvp.2011.02.002
  3. Arjomandi, K. and Taheri, F. (2011b), "A new look at the external pressure capacity of sandwich pipes", Mar. Struct., 24(1), 23-42. https://doi.org/10.1016/j.marstruc.2010.12.001
  4. Brush, D.O. and Almroth, B.O. (1975), Buckling of bars, plates, and shells, McGraw-Hill, Inc., New York.
  5. Bulson, P.S. (1985), Buried structures, Chapman and Hall, London.
  6. Calladine, C.R. (1983), Theory of shell structures, Cambridge University Press, Cambridge.
  7. Croll, J.G.A. (2001), "Buckling of cylindrical tunnel liners", J. Eng. Mech. - ASCE, 127(4), 333-341. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:4(333)
  8. Dawson, M.A. and Gibson, L.J. (2007), "Optimization of cylindrical shells with compliant cores", Int. J. Solids Struct., 44(3-4), 1145-1160. https://doi.org/10.1016/j.ijsolstr.2006.06.009
  9. He, X.Q., Kitipornchai, S. and Liew, K.M. (2005), "Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction", J. Mech. Phys. Solids, 53, 303-326. https://doi.org/10.1016/j.jmps.2004.08.003
  10. Hutchinson, J.W. and He, M.Y. (2000), "Buckling of cylindrical sandwich shells with metal form cores", Int. J. Solids Struct., 37(46-47), 6777-6794. https://doi.org/10.1016/S0020-7683(99)00314-5
  11. Karam, G.N. and Gibson, L.J. (1995), "Elastic buckling of cylindrical shells with elastic cores - I. Analysis", Int. J. Solids Struct., 32(8-9), 1259-1283. https://doi.org/10.1016/0020-7683(94)00147-O
  12. Ru, C.Q. (2001), "Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium", J. Mech. Phys. Solids, 49, 1265-1279. https://doi.org/10.1016/S0022-5096(00)00079-X
  13. Sato, M. and Patel, M.H. (2007), "Exact and simplified estimations for elastic buckling pressures of structural pipe-in-pipe cross sections under external hydrostatic pressure", J. Mar. Sci. Technol., 12(4), 251-262. https://doi.org/10.1007/s00773-007-0244-y
  14. Sato, M., Patel, M.H. and Trarieux, F. (2008), "Static displacement and elastic buckling characteristics of structural pipe-in-pipe cross-sections", Struct. Eng. Mech., 30(3), 263-278. https://doi.org/10.12989/sem.2008.30.3.263
  15. Sato, M. and Shima, H. (2009), "Buckling characteristics of multiwalled carbon nanotubesunder external pressure", Interact. Multiscale Mech., 2(2), 209-222. https://doi.org/10.12989/imm.2009.2.2.209
  16. Seide, P. (1962), "The stability under axial compression and lateral pressure of circular-cylindrical shells with a soft elastic core", J. Aerospace Sci., 29, 851-862. https://doi.org/10.2514/8.9619
  17. Yabuta, T. (1980), "Effects of elastic supports on the buckling of circular cylindrical shells under bending", J. Appl. Mech., 47, 866-870. https://doi.org/10.1115/1.3153804
  18. Yao, J.C. (1962), "Buckling of axially compressed long cylindrical shells with elastic core", J. Appl. Mech., 29, 329-334. https://doi.org/10.1115/1.3640550

Cited by

  1. Experimental and numerical investigations on the ratcheting characteristics of cylindrical shell under cyclic axial loading vol.44, pp.6, 2011, https://doi.org/10.12989/sem.2012.44.6.753