Steel and Composite Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Buckling analysis of laminated composite cylindrical shell subjected to lateral displacement-dependent pressure using semi-analytical finite strip method

  • Khayat, Majid (Department of Civil Engineering, Shahid Chamran University of Ahvaz) ;
  • Poorveis, Davood (Department of Civil Engineering, Shahid Chamran University of Ahvaz) ;
  • Moradi, Shapour (Department of Mechanical Engineering, Shahid Chamran University of Ahvaz)
  • Received : 2016.03.28
  • Accepted : 2016.10.05
  • Published : 2016.10.10
⟨ Previous Next ⟩

Abstract

The objective of this paper is to investigate buckling behavior of composite laminated cylinders by using semi-analytical finite strip method. The shell is subjected to deformation-dependent loads which remain normal to the shell middle surface throughout the deformation process. The load stiffness matrix, which is responsible for variation of load direction, is also throughout the deformation process. The shell is divided into several closed strips with alignment of their nodal lines in the circumferential direction. The governing equations are derived based on the first-order shear deformation theory with Sanders-type of kinematic nonlinearity. Displacements and rotations of the shell middle surface are approximated by combining polynomial functions in the meridional direction and truncated Fourier series along with an appropriate number of harmonic terms in the circumferential direction. The load stiffness matrix, which is responsible for variation of load direction, is also derived for each strip and after assembling, global load stiffness matrix of the shell is formed. The numerical illustrations concern the pressure stiffness effect on buckling pressure under various conditions. The results indicate that considering pressure stiffness causes buckling pressure reduction which in turn depends on various parameters such as geometry and lay-ups of the shell.

Keywords

References

  1. ABAQUS/standard user's manual (1998), Vols. I-III, Version 5.8: Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI, USA.
  2. Altman, W. and Oliveira, M.G.D. (1988), "Vibration and Stability cantilevered cylindrical shell panels under follower forces", J. Sound Vib., 122(2), 291-298. https://doi.org/10.1016/S0022-460X(88)80355-9
  3. Altman, W. and Oliveira, M.G.D. (1990), "Vibration and Stability shell panels with slight internal damping under follower forces", J. Sound Vib., 136(1), 45-50. https://doi.org/10.1016/0022-460X(90)90936-T
  4. Altman, W. and Oliveira, M.G.D. (1987), "Stability of cylindrical shell panels subjected to follower forces based on a mixed finite element formulation", Comput. Struct., 27(3), 367-372. https://doi.org/10.1016/0045-7949(87)90060-5
  5. Anastasiadis, J.S. and Simitses, G.J. (1993), "Buckling of pressure-loaded, long, shear deformable, cylindrical laminated shells", J. Compos. Struct., 23(3), 221-231. https://doi.org/10.1016/0263-8223(93)90224-E
  6. Argyris, J.H. and Symeonidis, Sp. (1981), "Nonlinear finite element analysis of elastic system under nonconservative loading - natural formulation, part1, quasistatic problems", Comput. Method. Appl. Mech. Eng., 26(1), 75-123. https://doi.org/10.1016/0045-7825(81)90131-6
  7. Bolotin, V.V. (1963), Nonconservative Problems of the Theory of Elastic Stability, Pergamon Press, New York, NY, USA, pp. 53-55.
  8. Cagdas, I.U. and Adali, S. (2011), "Buckling of cross-ply cylinders under hydrostatic pressure considering pressure stiffness", Ocean Eng., 38(4), 559-569. https://doi.org/10.1016/j.oceaneng.2010.12.005
  9. Cohen, G.A. (1966), "Conservative of a normal pressure field acting on a shell", AIAA, 4(10).
  10. Datta, P.K. and Biswas, S. (2011), "Aeroelastic behaviour of aerospace structural Elements with Follower Force: A review", J. Aeronaut. Space Sci., 12(2), 134-148. https://doi.org/10.5139/IJASS.2011.12.2.134
  11. Goyal, V.K. and Kapania, R.K. (2008), "Dynamic stability of laminated beams subjected to nonconservative loading", Thin-Wall. Struct., 46(12), 1359-1369. https://doi.org/10.1016/j.tws.2008.03.014
  12. Hibbitt, H.D. (1979), "Some follower forces and load stiffness", Int. J. Numer. Method. Eng., 14(6), 207-231.
  13. Iwata, K., Tsukimor, K. and Kubo, F. (1991), "A symmetric load-stiffness matrix for buckling analysis of shell structures under pressure loads", Int. J. Press. Ves. Piping, 45(1), 101-120. https://doi.org/10.1016/0308-0161(91)90047-6
  14. Jung, W.Y., Han, S.C., Lee, W.H. and Park, W.T. (2016), "Postbuckling analysis of laminated composite shells under shear loads", Steel Compos. Struct., Int. J., 21(2), 373-394. https://doi.org/10.12989/scs.2016.21.2.373
  15. Khayat, M., Poorveis, D., Moradi, S. and Hemmati, M. (2016), "Buckling of thick deep laminated composite shell of revolution under follower forces", Struct. Eng. Mech., Int. J., 58(1), 59-91. https://doi.org/10.12989/sem.2016.58.1.059
  16. Lazzari, M., Vitaliani, R.V., Majowiecki, M. and Saett, A.V. (2003), "Dynamic behavior of a tensegrity system subjected to follower wind loading", Comput. Struct., 81(22-23), 2199-2217. https://doi.org/10.1016/S0045-7949(03)00291-8
  17. Li, Z.M. and Lin, Z.Q. (2010), "Non-linear buckling and postbuckling of shear deformable anisotropic laminated cylindrical shell subjected to varying external pressure loads", Compos. Struct., 92(2), 553-567. https://doi.org/10.1016/j.compstruct.2009.08.048
  18. Matsunaga, H. (2007), "Vibration and buckling of cross-ply laminated composite circular cylindrical shells according to a global higher-order theory", Int. J. Mech. Sci., 49(9), 1060-1075. https://doi.org/10.1016/j.ijmecsci.2006.11.008
  19. Nali, P., Carrera, E. and Lecca, S. (2011), "Assessments of refined theories for buckling analysis of laminated plates", Compos. Struct., 93(2), 456-464. https://doi.org/10.1016/j.compstruct.2010.08.035
  20. Ovesy, H.R. and Fazilati, J. (2009), "Stability analysis of composite laminated plate and cylindrical shell structures using semi-analytical finite strip method", Compos. Struct., 89(3), 467-474. https://doi.org/10.1016/j.compstruct.2008.10.003
  21. Park, S.H. and Kim, J.H. (2002), "Dynamic stability of a stiff-edged cylindrical shell subjected to a follower force", Comput. Struct., 80(3-4), 227-233. https://doi.org/10.1016/S0045-7949(02)00007-X
  22. Poorveis, D. and Kabir, M.Z. (2006), "Buckling of discretely stringer-stiffened composite cylindrical shells under combined axial compression and external pressure", Scientia Iranica, 13(2), 113-123.
  23. Romano, G. (1971), "Potential operators and conservative systems", Proceedings of the 14th Polish Solid Mechanics Conference, Kroscjenko, Poland, September.
  24. Schweizerhof, K. and Ramm, E. (1984), "Displacement dependent pressure loads in nonlinear finite element analysis", Comput. Struct., 18(6), 1099-1114. https://doi.org/10.1016/0045-7949(84)90154-8
  25. Sheinman, I. and Tene, Y. (1974), "Potential energy of a normal pressure field acting on an arbitrary shell", AIAA, 11(8), 1216a-1216.
  26. Shen, H.S. (1998), "Postbuckling analysis of stiffened laminated cylindrical shells under combined external liquid pressure and axial compression", Eng. Struct., 20(8), 738-751. https://doi.org/10.1016/S0141-0296(97)00069-2
  27. Simitses, G.J., Tabiei, A. and Anastasiadis, J.S. (1993), "Buckling of moderately thick, laminated cylindrical shells under lateral pressure", J. Compos. Eng., 3(5), 409-417. https://doi.org/10.1016/0961-9526(93)90078-X
  28. Teng, J.G. and Hong, T. (1998), "Nonlinear thin shell theories for numerical buckling predictions", Thin-Wall. Struct., 31(1-3), 89-115. https://doi.org/10.1016/S0263-8231(98)00014-7
  29. Tornabene, F., Fantuzzi, N. and Bacciocchi, M. (2014), "Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories", Compos. Part B: Eng., 67, 490-509. https://doi.org/10.1016/j.compositesb.2014.08.012
  30. Tornabene, F., Fantuzzi, N., Bacciocchi, M. and Viola, E. (2015), "A new approach for treating concentrated loads in doubly-curved composite deep shells with variable radii of curvature", Compos. Struct., 131, 433-452. https://doi.org/10.1016/j.compstruct.2015.05.049
  31. Wang, Q. (2003), "On complex flutter and buckling analysis of a beam structure subjected to static follower force", Struct. Eng. Mech., Int. J., 16(5), 533-556. https://doi.org/10.1296/SEM2003.16.05.02
  32. Zielnica, J. (2012), "Buckling and stability of elastic-plastic sandwich conical shells", Steel Compos. Struct., Int. J., 13(2), 157-169. https://doi.org/10.12989/scs.2012.13.2.157

Cited by

  1. Semi-Analytical Approach in Buckling Analysis of Functionally Graded Shells of Revolution Subjected to Displacement Dependent Pressure vol.139, pp.6, 2017, https://doi.org/10.1115/1.4037042
  2. Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure vol.23, pp.1, 2017, https://doi.org/10.12989/scs.2017.23.1.001
  3. Geometrically nonlinear analysis of FG doubly-curved and hyperbolical shells via laminated by new element vol.28, pp.3, 2016, https://doi.org/10.12989/scs.2018.28.3.389
  4. Free vibration analysis of functionally graded cylindrical shells with different shell theories using semi-analytical method vol.28, pp.6, 2016, https://doi.org/10.12989/scs.2018.28.6.735
  5. A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout vol.16, pp.8, 2019, https://doi.org/10.1590/1679-78255535
  6. Buckling behavior of composite cylindrical shells with cutout considering geometric imperfection vol.30, pp.4, 2019, https://doi.org/10.12989/scs.2019.30.4.305
  7. Numerical analysis of thermal post-buckling strength of laminated skew sandwich composite shell panel structure including stretching effect vol.34, pp.2, 2016, https://doi.org/10.12989/scs.2020.34.2.279
  8. An efficient finite strip procedure for initial post-buckling analysis of thin-walled members vol.90, pp.3, 2016, https://doi.org/10.1007/s00419-019-01627-9
  9. Mechanical analysis of functionally graded spherical panel resting on elastic foundation under external pressure vol.74, pp.2, 2016, https://doi.org/10.12989/sem.2020.74.2.297
  10. The influence of graphene platelet with different dispersions on the vibrational behavior of nanocomposite truncated conical shells vol.38, pp.1, 2021, https://doi.org/10.12989/scs.2021.38.1.047
  11. Buckling characteristics of cut-out borne composite stiffened hyperbolic paraboloid shell panel vol.235, pp.11, 2016, https://doi.org/10.1177/14644207211005802
  12. Analytical Solution for Buckling Analysis of Composite Cylinders with Honeycomb Core Layer vol.59, pp.12, 2021, https://doi.org/10.2514/1.j060422