Latest developments on the analysis of thin-walled structures using Generalised Beam Theory (GBT)

Gonçalves, Rodrigo; Camotim, Dinar; Basaglia, Cilmar; Martins, André Dias; Peres, Nuno

doi:10.1016/j.jcsr.2023.107858

Cited by 16 publications

(2 citation statements)

References 55 publications

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“…Most of the existing global analyses with GBT have been mainly focused on simple portal frames composed of channels or Isections. The main problem in GBT is to model the joints [20]. This is probably why researchers moved from initial pure GBT frame models [21][22][23] to models that combine GBT beam elements for members and shell elements for joints [24,25].…”

Section: Introductionmentioning

confidence: 99%

Global Analysis of Adjustable Pallet Rack Down-Aisle Frames Using the Generalised Beam Theory

Bonada,

Bové,

Casafont

et al. 2024

Applied Sciences

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A global analysis of a rack frame conducted using the Generalised Beam Theory (GBT) is presented. This study specifically focuses on a down-aisle frame, showing the particular characteristics of this type of structure, such as its perforated columns, semi-rigid joints, and significant second-order effects. The single-column simplified approach is applied, meaning that the entire rack is modelled with one single column and its adjacent half-beams. This approach substantially reduces modelling time and allows for very quick parametric studies while adequately reproducing the general 2D down-aisle behaviour. The GBT single-column model is first verified against a similar single-column shell finite element model used by the authors in previous research. Afterwards, the model is applied to study the effects of various factors influencing the results of a rack global analysis, including perforations, imperfection magnitudes and combinations, and sectional deformations. The nature of GBT allows for deriving clear conclusions on the influence of these aspects on structural behaviour. Furthermore, this article also aims to demonstrate the potential advantages of the theory for performing global analyses of these structures in both research and design.

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Section: Introductionmentioning

confidence: 99%

Global Analysis of Adjustable Pallet Rack Down-Aisle Frames Using the Generalised Beam Theory

Bonada,

Bové,

Casafont

et al. 2024

Applied Sciences

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“…Another calculation method is given in the Eurocode 3 [1] which provides analytical methods to calculate thin-walled cross-sections including the resistance to buckling evaluating effective cross-section areas and stiffener impacts [8]. Other methods calculating thin-walled structures include Finite Element Method [9] and modified finite element methods: Generalised Beam Theory [10,11], Finite Strip Method [12].…”

Section: Introductionmentioning

confidence: 99%

Effect of Intermediate Stiffeners in an Optimization of Axially Compressed Built‐up Thin‐Walled Column Cross‐Sections According to the Eurocode 3

Sulpinas,

Daniūnas

2023

ce papers

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This paper aims to propose an optimized thin‐walled built‐up cross‐section for axially compressed columns, which can be feasibly produced and utilized in building assemblies. The European standard Eurocode 3 [1] was employed, along with an optimization solving algorithm, to calculate the performance of axially compressed thin‐walled columns. The analysis considered the buckling capacity of the column, encompassing local, distortional, and global buckling modes. 3 types of box cross‐sections were examined: without web stiffeners, with web stiffeners bent inwards, and with web stiffeners bent outwards. The cross‐sections were constructed by connecting 2 “C” type or “Sigma” type profiles through their flanges. In the calculations, the thickness of the overlapping parts of the flanges was assumed to be equal to the thickness of the profiles. Experimental investigations have shown that this assumption, where the overlapping parts of the flanges are considered equal to the profile thickness, is conservative and reliable [2]. Consequently, the built‐up cross‐section can be treated as one rigidly connected entity [3]. The results of the calculations reveal that the optimized built‐up axially compressed column cross‐section with web stiffeners exhibits a higher level of effectiveness, with a cross‐sectional area up to 23% smaller compared to the optimized cross‐sectional area of columns without web stiffeners.

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Thin-walled composite beam elements via the absolute nodal coordinate formulation

Shen

2023

Multibody Syst Dyn

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Latest developments on the analysis of thin-walled structures using Generalised Beam Theory (GBT)

Cited by 16 publications

References 55 publications

Global Analysis of Adjustable Pallet Rack Down-Aisle Frames Using the Generalised Beam Theory

Global Analysis of Adjustable Pallet Rack Down-Aisle Frames Using the Generalised Beam Theory

Effect of Intermediate Stiffeners in an Optimization of Axially Compressed Built‐up Thin‐Walled Column Cross‐Sections According to the Eurocode 3

Thin-walled composite beam elements via the absolute nodal coordinate formulation

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