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GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loads

Abstract

This paper presents an analytical approach for pre-buckling and buckling analyses of thin-walled members implemented within the framework of the Generalised Beam Theory (GBT). With the proposed GBT cross-sectional analysis, the set of deformation modes used in the analysis is represented by the dynamic modes obtained for an unrestrained frame representing the cross-section. In this manner, it is possible to account for the deformability of the cross-section in both pre-buckling and buckling analyses. Different loading conditions, including both axial and transverse arrangements, are considered in the applications to highlight under which circumstances the use of the GBT deformation modes is required for an adequate representation of the pre-buckling and buckling response. The numerical results have been validated against those determined using a shell element model developed in the finite element software ABAQUS.

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Author information

Correspondence to Gianluca Ranzi.

Additional information

Communicated by Victor Eremeyev, Peter Schiavone and Francesco dell'Isola.

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Taig, G., Ranzi, G. & Luongo, A. GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loads. Continuum Mech. Thermodyn. 28, 41–66 (2016). https://doi.org/10.1007/s00161-014-0399-9

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Keywords

  • Buckling analysis
  • Dynamic approach
  • Generalised Beam Theory
  • Pre-buckling analysis
  • Thin-walled members