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A platform for research: civil engineering, architecture and urbanism
Post-buckling behaviour of thin-walled regular polygonal tubes subjected to bending
https://orcid.org/0000-0002-9801-1220
https://orcid.org/0000-0002-7994-2687
Abstract This work presents and discusses numerical results concerning the elastic post-buckling behaviour and imperfection sensitivity of regular convex polygonal cross-section (RCPS) tubular beams buckling in local, distortional and mixed local–distortional modes, a topic currently lacking research. This study is carried out in the framework of Generalised Beam Theory (GBT) geometrically non-linear analyses, enriched with a branch switching technique, and takes advantage of the GBT intrinsic modal nature to shed new light on the mechanics underlying the post-buckling behaviour of these members. Due to the small half-wavelength of all the buckling phenomena addressed, only simply supported members under uniform bending are investigated. In particular, this work investigates the post-buckling behaviour and imperfection sensitivity of RCPS beams (i) exhibiting several wall numbers (6, 8, 10, 14, 20, 30) with distinct combinations of circumradius-to-thickness ratios (ii) having distinct lengths, and (iii) containing critical-mode initial geometrical imperfections with several amplitudes. Relevant displacement profiles and modal participation diagrams are provided along trivial and non-trivial equilibrium paths, in order to draw meaningful conclusions concerning the post-buckling behaviour of RCPS tubes under bending. For comparison and validation purposes, ABAQUS shell finite element results are also presented.
Graphical abstract Display Omitted
Highlights L, D and L-D post-buckling behaviours of regular polygonal tubular beams studied. GBT non-linear analyses shed new insight on the beam post-buckling mechanics. Beams buckling in L (D) modes exhibit plate (shell)-like post-buckling behaviours. L-D post-buckling behaviour strongly depends on the corner displacement restraints. Loss of uniqueness occurs along the beam D and L-D numerical equilibrium paths.
Post-buckling behaviour of thin-walled regular polygonal tubes subjected to bending
https://orcid.org/0000-0002-9801-1220
https://orcid.org/0000-0002-7994-2687
Abstract This work presents and discusses numerical results concerning the elastic post-buckling behaviour and imperfection sensitivity of regular convex polygonal cross-section (RCPS) tubular beams buckling in local, distortional and mixed local–distortional modes, a topic currently lacking research. This study is carried out in the framework of Generalised Beam Theory (GBT) geometrically non-linear analyses, enriched with a branch switching technique, and takes advantage of the GBT intrinsic modal nature to shed new light on the mechanics underlying the post-buckling behaviour of these members. Due to the small half-wavelength of all the buckling phenomena addressed, only simply supported members under uniform bending are investigated. In particular, this work investigates the post-buckling behaviour and imperfection sensitivity of RCPS beams (i) exhibiting several wall numbers (6, 8, 10, 14, 20, 30) with distinct combinations of circumradius-to-thickness ratios (ii) having distinct lengths, and (iii) containing critical-mode initial geometrical imperfections with several amplitudes. Relevant displacement profiles and modal participation diagrams are provided along trivial and non-trivial equilibrium paths, in order to draw meaningful conclusions concerning the post-buckling behaviour of RCPS tubes under bending. For comparison and validation purposes, ABAQUS shell finite element results are also presented.
Graphical abstract Display Omitted
Highlights L, D and L-D post-buckling behaviours of regular polygonal tubular beams studied. GBT non-linear analyses shed new insight on the beam post-buckling mechanics. Beams buckling in L (D) modes exhibit plate (shell)-like post-buckling behaviours. L-D post-buckling behaviour strongly depends on the corner displacement restraints. Loss of uniqueness occurs along the beam D and L-D numerical equilibrium paths.
Post-buckling behaviour of thin-walled regular polygonal tubes subjected to bending
https://orcid.org/0000-0002-9801-1220
https://orcid.org/0000-0002-7994-2687
Abstract This work presents and discusses numerical results concerning the elastic post-buckling behaviour and imperfection sensitivity of regular convex polygonal cross-section (RCPS) tubular beams buckling in local, distortional and mixed local–distortional modes, a topic currently lacking research. This study is carried out in the framework of Generalised Beam Theory (GBT) geometrically non-linear analyses, enriched with a branch switching technique, and takes advantage of the GBT intrinsic modal nature to shed new light on the mechanics underlying the post-buckling behaviour of these members. Due to the small half-wavelength of all the buckling phenomena addressed, only simply supported members under uniform bending are investigated. In particular, this work investigates the post-buckling behaviour and imperfection sensitivity of RCPS beams (i) exhibiting several wall numbers (6, 8, 10, 14, 20, 30) with distinct combinations of circumradius-to-thickness ratios (ii) having distinct lengths, and (iii) containing critical-mode initial geometrical imperfections with several amplitudes. Relevant displacement profiles and modal participation diagrams are provided along trivial and non-trivial equilibrium paths, in order to draw meaningful conclusions concerning the post-buckling behaviour of RCPS tubes under bending. For comparison and validation purposes, ABAQUS shell finite element results are also presented.
Graphical abstract Display Omitted
Highlights L, D and L-D post-buckling behaviours of regular polygonal tubular beams studied. GBT non-linear analyses shed new insight on the beam post-buckling mechanics. Beams buckling in L (D) modes exhibit plate (shell)-like post-buckling behaviours. L-D post-buckling behaviour strongly depends on the corner displacement restraints. Loss of uniqueness occurs along the beam D and L-D numerical equilibrium paths.
Post-buckling behaviour of thin-walled regular polygonal tubes subjected to bending
Martins, André Dias (author) / Gonçalves, Rodrigo (author) / Camotim, Dinar (author)
Thin-Walled Structures ; 166
2021-06-16
Article (Journal)
Electronic Resource
English
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