Stability analysis of cold-formed channels using mathematical programming techniques

PurposeIn this work, a numerical algorithm is presented for stability analysis of cold-formed steel (CFS) channel sections.Design/methodology/approachA nonlinear optimization problem is formulated using energy-based technique of idealized channel section subject shear, compression and biaxial bendin...

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Vydané v:Multidiscipline modeling in materials and structures Ročník 16; číslo 6; s. 1559 - 1576
Hlavný autor: Bedair, Osama
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Bingley Emerald Publishing Limited 08.10.2020
Emerald Group Publishing Limited
Predmet:
Algorithms
Bending stresses
Buckling
Channels
Cold
Cold working
Cold-formed steel
Combined loading
Compression
Design optimization
Energy
Engineers
Finite strip method
Load
Mathematical analysis
Mathematical programming
Numerical analysis
Optimization
Potential energy
Skew angle
Stability analysis
Steel structures
Cold-formed steel
Buckling
Channels
Structural analysis
Mathematical programming
ISSN:1573-6105, 1573-6113
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Shrnutí:PurposeIn this work, a numerical algorithm is presented for stability analysis of cold-formed steel (CFS) channel sections.Design/methodology/approachA nonlinear optimization problem is formulated using energy-based technique of idealized channel section subject shear, compression and biaxial bending. The total potential energy is minimized with respect to skew angle and half wavelength of the buckling mode. The optimization algorithm is updated sequentially using quadratic approximation until minimum buckling coefficient is attained. The developed algorithm is validated using other numerical techniques.FindingsThe described algorithm is computationally effective and can be utilized in the industry for analysis of CFS channels under any load combination.Practical implicationsThe paper offers a new tool for engineers in practice to analyze channels subject to combined loadings.Originality/valueVery limited literature dealt with the stability of channels under combined loading. A new numerical algorithm is provided to practitioners to utilize in the industry for analysis of channel sections under combined loading. Unlike finite element or finite strip methods, the channel is not discretized into subelements. Mathematical programming technique is used to find the buckling load. Parametric studies are then carried out to highlight influences of geometric interaction of the channel components and to provide useful guidance to the design of CFS channels.
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ISSN:1573-6105
1573-6113
DOI:10.1108/MMMS-11-2019-0207