Higher-order non-linear analysis of steel structures. Part I : elastic second-order formulation

Iu, C.K. & Bradford, M.A. (2012) Higher-order non-linear analysis of steel structures. Part I : elastic second-order formulation. Advanced Steel Construction, 8(2), pp. 168-182.

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This paper presents a higher-order beam-column formulation that can capture the geometrically non-linear behaviour of steel framed structures which contain a multiplicity of slender members. Despite advances in computational frame software, analyses of large frames can still be problematic from a numerical standpoint and so the intent of the paper is to fulfil a need for versatile, reliable and efficient non-linear analysis of general steel framed structures with very many members. Following a comprehensive review of numerical frame analysis techniques, a fourth-order element is derived and implemented in an updated Lagrangian formulation, and it is able to predict flexural buckling, snap-through buckling and large displacement post-buckling behaviour of typical structures whose responses have been reported by independent researchers. The solutions are shown to be efficacious in terms of a balance of accuracy and computational expediency. The higher-order element forms a basis for augmenting the geometrically non-linear approach with material non-linearity through the refined plastic hinge methodology described in the companion paper.

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5 citations in Scopus
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4 citations in Web of Science®

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ID Code: 67074
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: beam-column, frames, geometric nonlinearity, material nonlinearity, higher-order element
ISSN: 1816-112X
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Structural Engineering (090506)
Australian and New Zealand Standard Research Classification > BUILT ENVIRONMENT AND DESIGN (120000) > ENGINEERING DESIGN (120400) > Engineering Design Methods (120403)
Divisions: Current > Schools > School of Civil Engineering & Built Environment
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 The Hong Kong Institute of Steel Construction
Deposited On: 09 Feb 2014 23:41
Last Modified: 16 Apr 2014 09:14

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