Self-shape optimisation principles: Optimisation of section capacity for thin-walled profiles

Gilbert, Benoit P.; Teh, Lip H.; Guan, Hong

doi:10.1016/j.tws.2012.06.009

Cited by 41 publications

(39 citation statements)

References 26 publications

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“…As described in the companion paper [1], initial cross-sections are generated using self-avoiding random walks. As the crosssections of interest are singly-symmetric, only half of each crosssection is modelled in the optimisation process.…”

Section: Initial Populationmentioning

confidence: 99%

“…As discussed in Refs. [1,2], the element size shall be small enough to ensure the accuracy of the cross-sectional area and allow complex cross-sectional shapes, including stiffeners, to be drawn. A nominal element size of 4 mm (i.e.…”

Section: Initial Populationmentioning

confidence: 99%

“…Very few researches aim at optimising the cross-sectional shape itself, as detailed in the literature review on shape optimisation in Ref. [1].…”

Section: Introductionmentioning

confidence: 99%

“…This paper aims to extend the self-shape optimisation principles described in the companion paper [1], and detailed in Ref. [2], to the strength optimisation of cold-formed steel columns.…”

Section: Introductionmentioning

confidence: 99%

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Self-shape optimisation application: Optimisation of cold-formed steel columns

Gilbert

Savoyat

Teh

2012

Thin-Walled Structures

Self Cite

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a b s t r a c tThis paper presents the optimisation of cold-formed steel open columns using the recently developed self-shape optimisation method that aims to discover new profile shapes. The strength of the coldformed steel sections is calculated using the Direct Strength Method, and the rules developed in the present work to automatically determine the local and distortional elastic buckling stresses from the Finite Strip and constrained Finite Strip Methods are discussed. The rules are verified against conventional and optimum sections yielded in this research, and found to accurately predict the elastic buckling stresses. The optimisation method is applied to singly-symmetric (mono-symmetric) cold-formed steel columns, and the operators behind the method for the special case of singlysymmetric open profiles are introduced in this paper. ''Optimum'' cross-sections for simply supported columns, 1.2 mm thick, free to warp and subjected to a compressive axial load of 75 kN are presented for column lengths ranging from 1000 to 2500 mm. Results show that the optimum cross-sections are found in a relatively low number of generations, and typically shape to non-conventional ''bean'', ''oval'' or rounded ''S'' sections. The algorithm optimises for distortional and global buckling, therefore likely subjecting the cross-sections to buckling interaction. A manual attempt to redraw the ''optimum'' cross-sections to include limitations of current manufacturing processes is made. Future developments of the method for practical applications are also discussed.

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Section: Initial Populationmentioning

confidence: 99%

Section: Initial Populationmentioning

confidence: 99%

“…Very few researches aim at optimising the cross-sectional shape itself, as detailed in the literature review on shape optimisation in Ref. [1].…”

Section: Introductionmentioning

confidence: 99%

“…This paper aims to extend the self-shape optimisation principles described in the companion paper [1], and detailed in Ref. [2], to the strength optimisation of cold-formed steel columns.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations