Structural Engineering and Mechanics

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Buckling of axial compressed cylindrical shells with stepwise variable thickness

  • Fan, H.G. (Institute of Process Equipment, Zhejiang University) ;
  • Chen, Z.P. (Institute of Process Equipment, Zhejiang University) ;
  • Feng, W.Z. (Institute of Process Equipment, Zhejiang University) ;
  • Zhou, F. (Institute of Process Equipment, Zhejiang University) ;
  • Shen, X.L. (Institute of Process Equipment, Zhejiang University) ;
  • Cao, G.W. (Institute of Process Equipment, Zhejiang University)
  • Received : 2013.12.25
  • Accepted : 2014.11.18
  • Published : 2015.04.10
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Abstract

This paper focuses on an analytical research on the critical buckling load of cylindrical shells with stepwise variable wall thickness under axial compression. An arctan function is established to describe the thickness variation along the axial direction of this kind of cylindrical shells accurately. By using the methods of separation of variables, small parameter perturbation and Fourier series expansion, analytical formulas of the critical buckling load of cylindrical shells with arbitrary axisymmetric thickness variation under axial compression are derived. The analysis is based on the thin shell theory. Analytic results show that the critical buckling load of the uniform shell with constant thickness obtained from this paper is identical with the classical solution. Two important cases of thickness variation pattern are also investigated with these analytical formulas and the results coincide well with those obtained from other authors. The cylindrical shells with stepwise variable wall thickness, which are widely used in actual engineering, are studied by this method and the analytical formulas of critical buckling load under axial compression are obtained. Furthermore, an example is presented to illustrate the effects of each strake's length and thickness on the critical buckling load.

Keywords

References

  1. Chen, L., Michael Rotter, J. and Doerich, C. (2011), "Buckling of cylindrical shells with stepwise variable wall thickness under uniform external pressure", Eng. Struct., 33(12), 3570-3578. https://doi.org/10.1016/j.engstruct.2011.07.021
  2. Yu, C.L., Chen, Z.P., Wang, J., Yan, S.J. and Yang, L.C. (2012), "Effect of weld reinforcement on axial plastic buckling of welded steel cylindrical shells", J. Zhejiang Univ. Sci. A, 13(2), 79-90. https://doi.org/10.1631/jzus.A1100196
  3. Yang, L.C., Chen, Z.P., Cao, G.W., Yu, C.L. and Guo, W.J. (2012), "An analytical formula for elastic-plastic instability of large oil storage tanks", Int. J. Press. Ves. Pip., 101(1), 72-80.
  4. Elishakoff, I., Li, Y.W. and Starnes, J.H. (1992), "The combined effect of the thickness variation and axisymmetric initial imperfection on the buckling of the isotropic cylindrical shell under axial compression", Preliminary Report, Florida Atlantic University, Boca Raton.
  5. Koiter, W.T., Elishakoff, I. and Li, Y.W. (1994), "Buckling of an axially compressed cylindrical shell of variable thickness", Int. J. Solid. Struct., 31(6), 797-805. https://doi.org/10.1016/0020-7683(94)90078-7
  6. Li, Y.W., Elishakoff, I. and Starnes, Jr. J.H. (1995), "Axial buckling of composite cylindrical shells with periodic thickness variation", Comput. Struct., 56(1), 65-74. https://doi.org/10.1016/0045-7949(94)00527-A
  7. Li, Y.W., Elishakoff, I., Starnes, Jr. J.H. and Bushnell, D. (1997), "Effect of the thickness variation and initial imperfection on buckling of composite cylindrical shells: asymptotic analysis and numerical results by BOSOR4 and PANDA2", Int. J. Solid. Struct., 34(28), 3755-3767. https://doi.org/10.1016/S0020-7683(96)00230-2
  8. Huang, H.W. and Han, Q. (2009), "Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells", Int. J. Mech. Sci., 51(7), 500-507. https://doi.org/10.1016/j.ijmecsci.2009.05.002
  9. Chen, Z.P., Yang, L.C. and Cao, G.W. (2012), "Buckling of the axially compressed cylindrical shells with arbitrary axisymmetric thickness variation", Thin Wall. Struct., 60, 38-45. https://doi.org/10.1016/j.tws.2012.07.015
  10. Shen, H.S. and Chen, T.Y. (1991), "Buckling and postbuckling behaviour of cylindrical shells under combined external pressure and axial compression", Thin Wall. Struct., 12(4), 321-334. https://doi.org/10.1016/0263-8231(91)90032-E
  11. Guggenberger, W. (1995), "Buckling and postbuckling of imperfect cylindrical shells under external pressure", Thin Wall. Struct., 23(1), 351-366. https://doi.org/10.1016/0263-8231(95)00022-6
  12. Vodenitcharova, T. and Ansourian, P. (1996), "Buckling of circular cylindrical shells subject to uniform lateral pressure", Eng. Struct., 18(8), 604-614. https://doi.org/10.1016/0141-0296(95)00174-3
  13. Gusic, G., Combescure, A. and Jullien, J.F. (2000), "The influence of circumferential thickness variations on the buckling of cylindrical shells under external pressure", Comput. Struct., 74(4), 461-477. https://doi.org/10.1016/S0045-7949(99)00053-X
  14. Mirfakhraei, P. and Redekop, D. (2002), "Comparison of elastic buckling loads for liquid storage tanks", Steel Compos. Struct., 2(3), 161-170. https://doi.org/10.12989/scs.2002.2.3.161
  15. Khamlichi, A., Bezzazi, M. and Limam, A. (2004), "Buckling of elastic cylindrical shells considering the effect of localized axisymmetric imperfections", Thin Wall. Struct., 42(7), 1035-1047. https://doi.org/10.1016/j.tws.2004.03.008
  16. Aghajari, S., Abedi, K. and Showkati, H. (2006), "Buckling and post-buckling behavior of thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure", Thin Wall. Struct., 44(8), 904-909. https://doi.org/10.1016/j.tws.2006.08.015
  17. Nguyen, H.L.T., Elishakoff, I. and Nguyen, V.T. (2009), "Buckling under the external pressure of cylindrical shells with variable thickness", Int. J. Solid. Struct., 46(24), 4163-4168. https://doi.org/10.1016/j.ijsolstr.2009.07.025
  18. Khazaeinejad, P., Najafizadeh, M.M., Jenabi, J. and Isvandzibaei, M.R. (2010), "On the buckling of functionally graded cylindrical shells under combined external pressure and axial compression", J. Press. Ves. Tech., 132(6), 1551-1557.
  19. Aghajari, S., Showkati, H. and Abedi, K. (2011), "Experimental investigation on the buckling of thin cylindrical shells with two-stepwise variable thickness under external pressure", Struct. Eng. Mech., 39(6), 849-860. https://doi.org/10.12989/sem.2011.39.6.849
  20. Yang, L.C., Chen, Z.P., Chen, F.C., Guo, W.J. and Cao, G.W. (2012), "Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure", Eur. J. Mech. A/Solid., 38(3), 90-99.
  21. Timoshenko, S. P. and Gere, J. M. (1961), Theory Of Elastic Stability, 2nd Edition, McGraw-Hill, New York , NY, USA.

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