DOI QR코드

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Post-buckling of cylindrical shells with spiral stiffeners under elastic foundation

  • Shaterzadeh, Alireza (Department of Mechanical Engineering, Shahrood University of Technology) ;
  • Foroutan, Kamran (Department of Mechanical Engineering, Shahrood University of Technology)
  • 투고 : 2016.02.11
  • 심사 : 2016.08.03
  • 발행 : 2016.11.25

초록

In this paper, an analytical method for the Post-buckling response of cylindrical shells with spiral stiffeners surrounded by an elastic medium subjected to external pressure is presented. The proposed model is based on two parameters elastic foundation Winkler and Pasternak. The material properties of the shell and stiffeners are assumed to be continuously graded in the thickness direction. According to the Von Karman nonlinear equations and the classical plate theory of shells, strain-displacement relations are obtained. The smeared stiffeners technique and Galerkin method is used to solve the nonlinear problem. To valid the formulations, comparisons are made with the available solutions for nonlinear static buckling of stiffened homogeneous and un-stiffened FGM cylindrical shells. The obtained results show the elastic foundation Winkler on the response of buckling is more effective than the elastic foundation Pasternak. Also the ceramic shells buckling strength higher than the metal shells and minimum critical buckling load is occurred, when both of the stiffeners have angle of thirty degrees.

키워드

참고문헌

  1. Bagherizadeh, E., Kiani, Y. and Eslami, M.R. (2011), "Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation", Compos. Struct., 93, 3063-3071. https://doi.org/10.1016/j.compstruct.2011.04.022
  2. Bagherizadeh, E., Kiani, Y., and Eslami, M.R. (2012), "Thermal buckling of functionally graded material cylindrical shells on elastic foundation", AIAA J., 50, 500-503. https://doi.org/10.2514/1.J051120
  3. Baruch, M. and Singer, J. (1963), "Effect of eccentricity of stiffeners on the general instability of stiffened cylindrical shells under hydro-static pressure", J. Mech. Eng. Sci., 5, 23-27. https://doi.org/10.1243/JMES_JOUR_1963_005_005_02
  4. Bich, D.H., Nam, V.H. and Phuong, N.T. (2011), "Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells", Vietnam J. Mech., 33, 132-147.
  5. Boroujerdy, M.S., Naj, R. and Kiani, Y. (2014), "Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium", J. Theor. Appl. Mech., 52, 869-881.
  6. Brush, D.O. and Almroth, B.O. (1975), Buckling of Bars, Plates and Shells, Mc Graw-Hill, New York.
  7. Darabi, M., Darvizeh, M. and Darvizeh A. (2008), "Non-linear analysis of dynamic stability for functionally graded cylindrical shells under periodic axial loading", Compos. Struct., 83, 201-211. https://doi.org/10.1016/j.compstruct.2007.04.014
  8. Dung, D.V. and Nga, N.T. (2013), "Nonlinear buckling and post-buckling of eccentrically stiffened functionally graded cylindrical shells surrounded by an elastic medium based on the first order shear deformation theory", Vietnam J. Mech., 35(4), 285-298. https://doi.org/10.15625/0866-7136/35/4/3116
  9. Fan, H.G., Chen, Z.P., Feng, W.Z., Zhou, F., Shen, X.L. and Cao, G.W. (2015), "Buckling of axial compressed cylindrical shells with stepwise variable thickness", Struct. Eng. Mech., 54(1), 87-103. https://doi.org/10.12989/sem.2015.54.1.087
  10. Ghiasian, S.E., Kiani, Y. and Eslami, M.R. (2013), "Dynamic Buckling of Suddenly Heated or Compressed FGM Beams Resting on Non-linear Elastic Foundation", Compos. Struct., S0263-8223. https://doi.org/10.1016/j.compstruct.2013.06.001
  11. Guo, Z., Han, X., Guo, M. and Han, Z. (2015), "Buckling analysis of filament wound composite cylindrical shell for considering the filament undulation and crossover", Struct. Eng. Mech., 55 (2), 399-411. https://doi.org/10.12989/sem.2015.55.2.399
  12. Huang, H. and Han, Q. (2010), "Research on nonlinear post-buckling of functionally graded cylindrical shells under radial loads", Compos. Struct., 92, 1352-1357. https://doi.org/10.1016/j.compstruct.2009.11.016
  13. Jiang, L., Wang, Y. and Wang, X. (2008), "Post-buckling analysis of stiffened circular cylindrical panels using differential quadrature element method", Thin Wall. Struct., 46, 390-398. https://doi.org/10.1016/j.tws.2007.09.004
  14. Li, Z.M. and Shen, H.S. (2008), "Post-buckling of 3D braided composite cylindrical shells under combined external pressure and axial compression in thermal envir-onments", Int. J. Mech. Sci., 50, 719-731. https://doi.org/10.1016/j.ijmecsci.2007.12.001
  15. Najafizadeh, M.M., Hasani, A. and Khazaeinejad, P. (2009), "Mechanical stability of function-ally graded stiffened cylindrical shells", Appl. Math. Model., 33, 1151-1157. https://doi.org/10.1016/j.apm.2008.01.009
  16. Reddy, J.N. and Starnes, J.H. (1993), "General buckling of stiffened circular cylindrical shells according to a layerwise theory", Comput. Struct., 49, 605-616. https://doi.org/10.1016/0045-7949(93)90065-L
  17. Sadeghifar, M., Bagheri, M. and Jafari, A.A. (2011), "Buckling analysis of stringer-stiffened laminated cylindrical shells with non-uniform eccentricity", Arch. Appl. Mech., 81, 875-886. https://doi.org/10.1007/s00419-010-0457-0
  18. Shaterzadeh, A.R. and Foroutan, K. (2015), "Post-buckling analysis of eccentrically stiffened FGM cylindrical shells under external pressure and elastic foundation", Modares Mech. Eng., 15(7), 80-88. (in Persian)
  19. Shen, H.S. (1998), "Post-buckling analysis of imperfect stiffened laminated cylindrical shells under combined external pressure and thermal loading", Int. J. Mech., 40, 339-355. https://doi.org/10.1016/S0020-7403(97)00037-4
  20. Shen, H.S. (2003), "Post-buckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments", Eng. Struct., 25, 487-497. https://doi.org/10.1016/S0141-0296(02)00191-8
  21. Shen, H.S. (2009), "Postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium", Int. J. Mech. Sci., 51, 372-383. https://doi.org/10.1016/j.ijmecsci.2009.03.006
  22. Shen, H.S., Yang, J. and Kitipornchai, S. (2010), "Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium", Eur. J. Mech. A/Solid., 29, 448-460. https://doi.org/10.1016/j.euromechsol.2009.11.002
  23. Shen, H.S., Zhou, P. and Chen, T.Y. (1993), "Post-buckling analysis of stiffened cylindrical shells under combined external pressure and axial compression", Thin Wall. Struct., 15, 43-63. https://doi.org/10.1016/0263-8231(93)90012-Y
  24. Sofiyev, A.H. (2011), "Non-linear buckling behavior of FGM truncated conical shells subjected to axial load", Int. J. Nonlin. Mech., 46, 711-719. https://doi.org/10.1016/j.ijnonlinmec.2011.02.003
  25. Sofiyev, A.H. and Schnack, E. (2004), "The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading", Eng. Struct., 26, 1321-1331. https://doi.org/10.1016/j.engstruct.2004.03.016
  26. Van der Neut, A. (1947), The general instability of stiffened cylindrical shells under axial compression, Rep S314, National Aeronautical Research Institude, Amsterdam.
  27. Volmir, A.S. (1967), Flexible Plates and Shells, translated by the Department of Engineering Science and Mechanics, University of Florida.
  28. Volmir, A.S. (1972), Non-linear Dynamics of Plates and Shells, Science Edition M. (in Russian)
  29. Yen, S.W. (1979), "Buckling of cylindrical shells with spiral stiffeners under uniform compression and torsion", Comput. Struct., 11, 587-595.

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