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Influence of fiber paths on buckling load of tailored conical shells

  • Received : 2012.07.17
  • Accepted : 2013.11.19
  • Published : 2014.04.25

Abstract

The purpose of this paper is to propose a method for evaluation of varying stiffness coefficients of tailored conical shells (TCS). Furthermore, a comparison between buckling loads of these shells under axial load with the different fiber path is performed. A circular truncated conical shell subjected to axial compression is taken into account. Three different theoretical path containing geodesic path, constant curvature path and constant angle path has been considered to describe the angle variation along the cone length, along cone generator of a conical shell are offered. In the TCS with the arbitrary fiber path, the thickness and the ply orientation are assumed to be functions of the shell coordinates and influencing stiffness coefficients of the structure. The stiffness coefficients and the buckling loads of shells are calculated basing on classical shells theory (CST) and using finite-element analysis (FEA) software. The obtained results for TCS with arbitrary fiber path, thickness and ply orientation are derived as functions of shell longitudinal coordinate and influencing stiffness coefficients of structures. Furthermore, the buckling loads based on fiber path and ply orientation at the start of tailored fiber get to be different. The extent of difference for tailored fiber with start angle lower than 20 degrees is not significant. The results in this paper show that using tailored fiber placement could be applied for producing conical shells in order to have greater buckling strengths and lower weight. This work demonstrates the use of fiber path definitions for calculated stiffness coefficients and buckling loads of conical shells.

Keywords

References

  1. Abdalla, M.M., Setoodeh, S. and Gurdal, Z. (2007), "Design of variable stiffness composite panels for maximum fundamental eigenfrequency using lamination parameters", Comput. Struct., 81(2), 283-291. https://doi.org/10.1016/j.compstruct.2006.08.018
  2. Arbocz, J. (1968), Buckling of conical Shells under axial compression, NASA, Report CR-1162.
  3. Baruch, M., Arbocz, J. and Zhang, G.Q. (1993), "Laminated conical shells consideration for the variations of the stiffness coefficients", Proceeding of the 35th AIAA/ASME/ASCE/AHS/ASC S.S.D.M. Conference, Hilton Head, SC, USA.
  4. Baruch, M., Harai, O. and Singer, J. (1970), "Low buckling of axially compressed conical shells", J. Appl. Mech., 37(2), 384-392. https://doi.org/10.1115/1.3408517
  5. Blom, A.W., Abdalla, M.M. and Gurdal, Z. (2010), "Optimization of course locations in fiber-placed panels for general fiber angle distributions", Compos. Sci. Technol., 70(4), 564-570. https://doi.org/10.1016/j.compscitech.2009.12.003
  6. Blom, A.W., Setoodeh, S., Hol, J.M.A.M. and Gurdal, Z. (2008), "Design of variable-stiffness conical shells for maximum fundamental eigenfrequency", Comput. Struct., 86(9), 870-878. https://doi.org/10.1016/j.compstruc.2007.04.020
  7. Blom, A.W., Tatting, B.F., Hol, J.M.A.M. and Gurdal, Z. (2009), "Fiber path definitions for elastically tailored conical shells", Compos. Part B. Eng., 40(1), 77-84. https://doi.org/10.1016/j.compositesb.2008.03.011
  8. Goldfeld, Y. (2007a), "Imperfection sensitivity of laminated conical shells", Int. J. Solid. Struct., 44(3-4), 1221-1241. https://doi.org/10.1016/j.ijsolstr.2006.06.016
  9. Goldfeld, Y. (2007b), "Elastic buckling and imperfection sensitivity of generally stiffened conical shells", AIAA J., 45(3), 721-729. https://doi.org/10.2514/1.25830
  10. Goldfeld, Y. and Arbocz, J. (2004), "Buckling of laminated conical Shells given the variation of the stiffness coefficients", AIAA J., 42(3), 642-649. https://doi.org/10.2514/1.2765
  11. Goldfeld, Y., Arbocz, J. and Rothwell, A. (2005), "Design and optimization of laminated conical shells for buckling", Thin-Wall. Struct., 43(1), 107-133. https://doi.org/10.1016/j.tws.2004.07.003
  12. Jones, R.M. (1998), Mechanics of Composite Materials, Taylor & Francis, London, UK.
  13. Seide, P. (1956), "Axisymmetrical buckling of circular cones under axial compression", J. Appl. Mech., 23, 626-628.
  14. Seide, P. (1957), "A donnell-type theory for asymmetrical bending and buckling of thin conical shells", J. Appl. Mech., 24, 547-552.
  15. Singer, J. (1963), "Donnell-type equations for bending and buckling of orthotropic conical shells", ASME J. Appl. Mech., 30(2), 303-305. https://doi.org/10.1115/1.3636534
  16. Tong, L. (1998), "Buckling of filament wound composite conical shells under axial compression", AIAA J., 37(6), 779-781.
  17. Tong, L. and Wang, T.K. (1992), "Simple solutions for buckling of laminated conical shells", Int. J. Mech. Sci., 34(2), 93-111. https://doi.org/10.1016/0020-7403(92)90076-S
  18. Tong, L., Tabarrok, B. and Wang, T.K. (1992), "Simple solution for buckling of orthotropic conical shells", Int. J. Solid Struct., 29(8), 933-946. https://doi.org/10.1016/0020-7683(92)90067-4

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