Bifurcation and large-deflection analyses of thin-walled beam-columns with non-symmetric open-sections

Si Wei Liu; Ronald D. Ziemian; Liang Chen; Siu Lai Chan

doi:10.1016/j.tws.2018.07.044

Bifurcation and large-deflection analyses of thin-walled beam-columns with non-symmetric open-sections

Si Wei Liu, Ronald D. Ziemian, Liang Chen, Siu Lai Chan

Research output: Journal article publication › Journal article › Academic research › peer-review

50 Citations (Scopus)

Abstract

Non-symmetric thin-walled open-sections are used extensively in metal structures. The behaviour of such sections is usually complex because their shear centre and centroid do not coincide, and as a result, they are often susceptible to lateral-torsional and/or flexural-torsional buckling. This paper develops an efficient and robust computational framework for practical application, including a refined beam-column element for non-symmetric sections, a cross-section analysis algorithm for determining pertinent properties of open-sections, and an Updated-Lagrangian (UL) solution method for large deflection analysis. Details of the derivation of element stiffness matrices and the related numerical procedures are provided. Several examples are given that demonstrate accurate results from its implementation within the educational structural analysis software MASTAN2.

Original language	English
Pages (from-to)	287-301
Number of pages	15
Journal	Thin-Walled Structures
Volume	132
DOIs	https://doi.org/10.1016/j.tws.2018.07.044
Publication status	Published - Nov 2018

Keywords

Buckling
Elements
Geometric nonlinear analysis
Open sections
Steel
Thin-walled
Wagner effects
Warping

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Mechanical Engineering

More information

10.1016/j.tws.2018.07.044

Cite this

@article{3ace2116895c4dda873d623544bbff83,

title = "Bifurcation and large-deflection analyses of thin-walled beam-columns with non-symmetric open-sections",

abstract = "Non-symmetric thin-walled open-sections are used extensively in metal structures. The behaviour of such sections is usually complex because their shear centre and centroid do not coincide, and as a result, they are often susceptible to lateral-torsional and/or flexural-torsional buckling. This paper develops an efficient and robust computational framework for practical application, including a refined beam-column element for non-symmetric sections, a cross-section analysis algorithm for determining pertinent properties of open-sections, and an Updated-Lagrangian (UL) solution method for large deflection analysis. Details of the derivation of element stiffness matrices and the related numerical procedures are provided. Several examples are given that demonstrate accurate results from its implementation within the educational structural analysis software MASTAN2.",

keywords = "Buckling, Elements, Geometric nonlinear analysis, Open sections, Steel, Thin-walled, Wagner effects, Warping",

author = "Liu, {Si Wei} and Ziemian, {Ronald D.} and Liang Chen and Chan, {Siu Lai}",

year = "2018",

month = nov,

doi = "10.1016/j.tws.2018.07.044",

language = "English",

volume = "132",

pages = "287--301",

journal = "Thin-Walled Structures",

issn = "0263-8231",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Bifurcation and large-deflection analyses of thin-walled beam-columns with non-symmetric open-sections

AU - Liu, Si Wei

AU - Ziemian, Ronald D.

AU - Chen, Liang

AU - Chan, Siu Lai

PY - 2018/11

Y1 - 2018/11

N2 - Non-symmetric thin-walled open-sections are used extensively in metal structures. The behaviour of such sections is usually complex because their shear centre and centroid do not coincide, and as a result, they are often susceptible to lateral-torsional and/or flexural-torsional buckling. This paper develops an efficient and robust computational framework for practical application, including a refined beam-column element for non-symmetric sections, a cross-section analysis algorithm for determining pertinent properties of open-sections, and an Updated-Lagrangian (UL) solution method for large deflection analysis. Details of the derivation of element stiffness matrices and the related numerical procedures are provided. Several examples are given that demonstrate accurate results from its implementation within the educational structural analysis software MASTAN2.

AB - Non-symmetric thin-walled open-sections are used extensively in metal structures. The behaviour of such sections is usually complex because their shear centre and centroid do not coincide, and as a result, they are often susceptible to lateral-torsional and/or flexural-torsional buckling. This paper develops an efficient and robust computational framework for practical application, including a refined beam-column element for non-symmetric sections, a cross-section analysis algorithm for determining pertinent properties of open-sections, and an Updated-Lagrangian (UL) solution method for large deflection analysis. Details of the derivation of element stiffness matrices and the related numerical procedures are provided. Several examples are given that demonstrate accurate results from its implementation within the educational structural analysis software MASTAN2.

KW - Buckling

KW - Elements

KW - Geometric nonlinear analysis

KW - Open sections

KW - Steel

KW - Thin-walled

KW - Wagner effects

KW - Warping

UR - http://www.scopus.com/inward/record.url?scp=85052633438&partnerID=8YFLogxK

U2 - 10.1016/j.tws.2018.07.044

DO - 10.1016/j.tws.2018.07.044

M3 - Journal article

AN - SCOPUS:85052633438

SN - 0263-8231

VL - 132

SP - 287

EP - 301

JO - Thin-Walled Structures

JF - Thin-Walled Structures

ER -

Bifurcation and large-deflection analyses of thin-walled beam-columns with non-symmetric open-sections

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this