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Buckling of thin-walled members analyzed by Mindlin-Reissner finite strip

  • Cuong, Bui H. (Department of Civil and Industrial Building, National University of Civil Engineering)
  • Received : 2012.08.03
  • Accepted : 2013.09.18
  • Published : 2013.10.10

Abstract

The paper presents the formulation of 3-nodal line semi-analytical Mindlin-Reissner finite strip in the buckling analysis of thin-walled members, which are subjected to arbitrary loads. The finite strip is simply supported in two opposite edges. The general loading and in-plane rotation techniques are used to develop this finite strip. The linear stiffness matrix and the geometric stiffness matrix of the finite strip are given in explicit forms. To validate the proposed model and study its performance, numerical examples of some thin-walled sections have been performed and the results obtained have been compared with finite element models and the published ones.

Keywords

References

  1. Bradford, M.A. and Hancock, G.J. (1984), "Elastic interaction of local and lateral buckling in beams", Thin-walled Structures, 2(1), 1-25. https://doi.org/10.1016/0263-8231(84)90013-2
  2. Bui, H.C. and Rondal, J. (2008), "Buckling analysis of thin-walled sections by semi-analytical Mindlin-Reissner finite strips - a treatment of drilling rotation problem", Thin-walled Structures, 46, 646-652. https://doi.org/10.1016/j.tws.2007.12.003
  3. Bui, H.C. (2009), "Buckling analysis of thin-walled sections under general loading conditions", Thin-walled Structures, 47, 730-739. https://doi.org/10.1016/j.tws.2008.12.003
  4. Cheung, Y.K. (1976), Finite strip method in structural analysis, Pergamon Press, New York.
  5. Chu, X.T., Ye, Z.M., Kettle, R. and Li, L.Y. (2005), "Buckling behaviour of cold-formed channel sections under uniformly distributed loads", Thin-walled Structures, 43, 531-542. https://doi.org/10.1016/j.tws.2004.10.002
  6. Chu, X.T., Ye, Z.M., Li, L.Y. New York Kettle, R. (2006), "Local and distortional buckling of cold-formed zed-section beam under uniformly distributed transverse loads", International Journal of Mechanical Sciences, 48(4), 378-388. https://doi.org/10.1016/j.ijmecsci.2005.11.005
  7. Dawe, D.J., Lam, S.S.E. and Azizian, Z.G. (1993), "Finite strip post-local-buckling analysis of composite prismatic plate structures", Computers & Structures, 48(6), 1011-1023. https://doi.org/10.1016/0045-7949(93)90436-H
  8. Hancock, G.J. (1978), "Local distortional and lateral buckling of I-beams", Journal of the Structural Division, ASCE, 104(11), 1787-1798.
  9. Hinton, E. (1978), "Buckling of initially stressed Mindlin plates using a finite strip method", Computers & Structures, 8, 99-105. https://doi.org/10.1016/0045-7949(78)90164-5
  10. Key, P.W. and Hancock, G.J. (1993), "A finite strip method for the elastic-plastic large displacement analysis of thin-walled and cold-formed steel sections", Thin-walled Structures, 16, 3-29. https://doi.org/10.1016/0263-8231(93)90039-D
  11. Milasinovic, D.D. (2011), "Geometric non-linear analysis of thin plate structures using the harmonic coupled finite strip method", Thin-Walled Structures, 49(2), 280-290. https://doi.org/10.1016/j.tws.2010.11.005
  12. Ovesy, H.R., Loughlan, J. and GhannadPour, S.A.M. (2005), "Geometric non-linear analysis of thin flat plates under end shortening, using different versions of the finite strip method", International Journal of Mechanical Sciences, 47(12), 1923-1948. https://doi.org/10.1016/j.ijmecsci.2005.07.008
  13. Ovesy, H.R., Loughlan, J., GhannadPour, S.A.M. and Morada, G. (2006), "Geometric non-linear analysis of box sections under end shortening, using three different versions of the finite-strip method", Thin-Walled Structures, 44(6), 623-637. https://doi.org/10.1016/j.tws.2006.05.006
  14. Ovesy, H.R., Loughlan, J. and GhannadPour, S.A.M. (2006), "Geometric non-linear analysis of channel sections under end shortening, using different versions of the finite strip method", Computers & Structures, 84(13-14), 855-872. https://doi.org/10.1016/j.compstruc.2006.02.010
  15. Schafer, B.W. (1997), "Cold-formed steel behaviour and design: analytical and numerical modelling of elements and members with longitudinal stiffeners", Ph. D. Dissertation, Cornell University, Ithaca, NewYork.
  16. SAP2000 (2007), Structural analysis program, version 11.0, Computers and Structures, Berkeley, California.
  17. Wang, S. and Dawe, D.J. (1996), "Finite strip large deflection and post-overall-buckling analysis of diaphragm-supported plate structures", Computers & Structures, 61(1), 155-170. https://doi.org/10.1016/0045-7949(96)00085-5
  18. Zahari, R. and El-Zafrany, A. (2009), "Progressive failure analysis of composite laminated stiffened plates using the finite strip method", Composite Structures, 87(1), 63-70. https://doi.org/10.1016/j.compstruct.2007.12.006
  19. Mohri, F., Damil, N. and Potier-Ferry, M. (2012), "Pre-deflection effects on stability of thin-walled beams with open sections", Steel and Composite Structures, 13(1), 71-89. https://doi.org/10.12989/scs.2012.13.1.071

Cited by

  1. Post-buckling finite strip analysis of thick functionally graded plates vol.49, pp.5, 2014, https://doi.org/10.12989/sem.2014.49.5.569