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Vibration behaviour of axially compressed cold-formed steel members

  • Silvestre, N. (Department of Civil Engineering, IST/ICIST, Technical University of Lisbon) ;
  • Camotim, D. (Department of Civil Engineering, IST/ICIST, Technical University of Lisbon)
  • Received : 2005.04.18
  • Accepted : 2005.12.21
  • Published : 2006.06.25

Abstract

The objective of this work is to describe the main steps involved in the derivation of a GBT (Generalised Beam Theory) formulation to analyse the vibration behaviour of loaded cold-formed steel members and also to illustrate the application and capabilities of this formulation. In particular, the paper presents and discusses the results of a detailed investigation about the local and global free vibration behaviour of lipped channel simply supported columns. After reporting some relevant earlier GBT-based results dealing with the buckling and vibration behaviours of columns and load-free members, the paper addresses mostly issues concerning the variation of the column fundamental frequency and vibration mode nature/shape with its length and axial compression level. For validation purposes, some GBT-based results are also compared with values obtained by means of 4-node shell finite element analyses performed in the code ABAQUS.

Keywords

References

  1. Adany S. (2004). 'Buckling mode classification of members with open thin-walled cross-sections by using the finite strip method', Research Report, Department of Civil Engineering, Johns Hopkins University, Baltimore
  2. Camotim, D., Silvestre, N., Goncalves, R. and Dinis, P. B. (2004), 'GBT analysis of thin-walled members: New formulations and applications ', Thin-Walled Structures: Recent Advances and Future Trends in Thin-Walled Structures Technology (International Workshop, Loughborough, June 25), J. Loughlan (Ed.), Canopus Publishing, Bath, 137-168
  3. Camotim, D., Silvestre, N. and Dinis, P. B. (2005), 'Numerical analysis of cold-formed steel members', Int. J of Steel Structures, 5(1), 63-78
  4. Hashemi, S. M. and Richard, M. J. (2000), 'Free vibrational analysis of axially loaded bending-torsion coupled problems: A dynamic finite element', Comput. Struct., 77(6), 711-724 https://doi.org/10.1016/S0045-7949(00)00012-2
  5. Hibbit, Karlsson & Sorensen Inc. (2002). ABAQUS Standard (version 6.3-1)
  6. Klausbruckner, M. J. and Pryputniewicz, R. J. (1995), 'Theoretical and experimental study of coupled vibrations of channel beams', J Sound Vib., 183(2), 239-252 https://doi.org/10.1006/jsvi.1995.0252
  7. Ohga, M., Nishimoto, K., Shigematsu, T. and Hara, T. (1998), 'Natural frequencies and mode shapes of thinwalled members under in-plane forces', Thin-Walled Structures - Research and Development, N. E. Shanmugam, J. Y. R. Liew, V. Thevendran (eds.), Elsevier, 501-508
  8. Okamura, M. and Fukasawa, Y. (1998), 'Characteristics of instability of local vibration of the thin-walled members under periodic axial forces', Structural and Earthquake Engineering (JSCE), 15(2), 215s-223s
  9. Roberts, T. M. (1987), 'Natural frequencies of thin-walled bars of open cross-section', J. Eng. Mech. ASCE, 113(10), 1584-1593 https://doi.org/10.1061/(ASCE)0733-9399(1987)113:10(1584)
  10. Schardt, R. (1989), Verallgemeinerte Technische Biegetheorie, Springer-Verlag. (German)
  11. Schardt, R. (1994), 'Generalised beam theory - An adequate method for coupled stability problems', Thin-Walled Structures, 19(2-4), 161-180 https://doi.org/10.1016/0263-8231(94)90027-2
  12. Schardt, R. and Heinz, D. (1991), 'Vibrations of thin-walled prismatic structures under simultaneous static load using generalized beam theory', Structural Dynamics, W. B. Kriitzig et al. (eds.), Balkema, Rotterdam, 921-927
  13. Silvestre, N. (2005), 'Generalised Beam Theory: New formulations, numerical implementation and applications', Ph.D. Thesis, Civil Engineering Department, 1ST, Technical University of Lisbon. (Portuguese)
  14. Silvestre, N. and Camotim, D. (2003), 'Buckling and vibration behaviour of cold-formed steel members: A comparative study', Proc. of IV Congress on Steel and Composite Construction (Lisbon, December 4-5) A. Lamas et al. (eds.), 355-365. (Portuguese)
  15. Silvestre, N. and Camotim, D. (2005a), 'Generalized Beam Theory to analyse the vibration behaviour of loaded thin-walled members', CD-ROM Proc. of the 3rd Int. Conf. on Structural Stability and Dynamics (ICSSD 2005-Kissimmee, Florida, June 19-22)
  16. Silvestre, N. and Camotim, D. (2005b), 'Local and global vibration behaviour of loaded folded-plate anisotropic members', Programme and Book of Abstracts of the 12th Int. Congress on Sound and Vibration (ICSV12-Lisbon, July 11-14), 191-192. (full paper in CD-ROM proceedings - paper 604)
  17. Silvestre, N. and Camotim, D. (2006), 'GBT-Based local and global vibration analysis of loaded composite open-section thin-walled members', Int. J Structural Stability and Dynamics, 6(1), 1-29 https://doi.org/10.1142/S0219455406001800
  18. Wittrick, W. H. (1985), 'Some observations on the dynamic equations of prismatic members in compression', Int. J of Mechanical Sciences, 27(6), 375-382 https://doi.org/10.1016/0020-7403(85)90028-1

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