Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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The analytical solution for buckling of curved sandwich beams with a transversely flexible core subjected to uniform load

  • Poortabib, A. (Space Research Institute) ;
  • Maghsoudi, M. (Space Research Institute)
  • Received : 2014.01.17
  • Accepted : 2014.06.20
  • Published : 2014.10.25
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Abstract

In this paper, linear buckling analysis of a curved sandwich beam with a flexible core is investigated. Derivation of equations for face sheets is accomplished via the classical theory of curved beam, whereas for the flexible core, the elasticity equations in polar coordinates are implemented. Employing the von-Karman type geometrical non-linearity in strain-displacement relations, nonlinear governing equations are resulted. Linear pre-buckling analysis is performed neglecting the rotation effects in pre-buckling state. Stability equations are concluded based on the adjacent equilibrium criterion. Considering the movable simply supported type of boundary conditions, suitable trigonometric solutions are adopted which satisfy the assumed edge conditions. The critical uniform load of the beam is obtained as a closed-form expression. Numerical results cover the effects of various parameters on the critical buckling load of the curved beam. It is shown that, face thickness, core thickness, core module, fiber angle of faces, stacking sequence of faces and openin angle of the beam all affect greatly on the buckling pressure of the beam and its buckled shape.

Keywords

References

  1. Bozhevolnaya, E. and Frostig, Y. (2001), "Free vibrations of curved sandwich beams with a transversely flexible core", J. Sandwich Struct. Mater., 3, 311. https://doi.org/10.1106/WFHG-J6H3-MDW1-92HM
  2. Bozhevolnaya, E. and Kildegaard, A. (1998), "Experimental study of a uniformly loaded curved sandwich beam", Compos. Struct., 40, 175-185.
  3. Brush, D.O. and Almroth, B.O. (1975), Buckling of bars, plates and shells,. McGraw-Hill, New York, N.Y.
  4. Bulson, P.S. (1970), The stability of flat plates, Cbatto and Windus, London, England.
  5. Cheng, S.H., Lin, C.C. and Wang, J.T.S. (1995), "Local buckling of delaminated sandwich beams using continuous analysis", Int. J. Solid. Struct., 34(2), 275-288, 1997.
  6. Frostig, Y. and Baruch, M. (1990), "Bending of sandwich beams with transversely fexible core", AIAA J. 28(3), 523-531. https://doi.org/10.2514/3.10423
  7. Frostig, Y., Baruch, M., Vilnay, O. and Sheinman, I. (1991), "Bending of nonsymmetric sandwich beams with transversely flexible core", J. Eng. Mech., ASCE, 117(9), 1931-1952. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:9(1931)
  8. Frostig, Y. and Baruch, M. (1993), "High order buckling analysis of sandwich beams with transversely flexible core", J. Eng. Mech., 119, 476-496. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:3(476)
  9. Hodges, D.H. and Simitses, G.J. (2006), Fundamentals of Structural Stability, Elsevier Inc.
  10. Hunt, G.E. and Da Silva, L.S. (1990a), "Interaction bending behavior of sandwich beams", J. Appl. Mech. Tran., ASME, 57(1), 189-196. https://doi.org/10.1115/1.2888301
  11. Ji, W. and Waas, A. (2007), "Global and local buckling of a sandwich beam", J. Eng. Mech., 133(2), 230-237. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:2(230)
  12. Lyckegaard, A. and Thomsen, O.T. (2005), "Nonlinear analysis of a curved sandwich beam joined with a straight sandwich beam", Compos. Part B, 37, 101-107. https://doi.org/10.1016/j.compositesb.2005.08.001
  13. Smith, C.S. (1984), "Application of folded plate analysis to bending, buckling and vibration of multilyer orthotropic sandwich beams and panels", Comput. Struct., 22(3), 491-497.
  14. Wang, W. and Shenoi, R.A. (2001), "Through-thickness stresses in curved composite laminates and sandwich beams", Compos. Sci. Tech., 61, 1501-1512. https://doi.org/10.1016/S0266-3538(01)00035-5
  15. Wang, W. and Shenoi, R.A. (2004), "Analytical solutions to predict flexural behavior of curved sandwich beams", J. Sandwich Struct. Mater., 6(3), 199-216. https://doi.org/10.1177/1099636204032855

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