Generalised beam theory (GBT) formulation to analyse the vibration behaviour of thin-walled steel frames

Basaglia, Cilmar; Camotim, Dinar; Coda, Humberto Breves

doi:10.1016/j.tws.2018.01.038

Cited by 18 publications

(3 citation statements)

References 35 publications

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“…The main reason is the lack of methods that satisfyingly allow an interface between connected members at a joint. The most successful proposals have been implemented in the framework of GBT by Basaglia et al [68,69,70,71,72,73,74,75]. The primary focus has been on joint configurations as illustrated in Figure 3.…”

Section: Distortional Effects In Thin-walled Beamsmentioning

confidence: 99%

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Hansen

Jönsson

2019

Thin-Walled Structures

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For decades, engineers have assessed and analysed steel frames using simple joints between beams and columns. These joints are often based on oversimplified assumptions using hinges or a direct transfer of beam displacements without any relative displacements. More seldom is the use of spring models that allow relative beam and column displacements at the joints. This despite the standardised component method approach, which can be used to determine the rotational spring stiffness of the relative rotation in a joint. This paper gives a background overview of essential developments in joint modelling and generalised thin-walled beam modelling, including torsional, distortional and related warping effects. For particular situations, some recent proposals for joint models can be applied to joints between thin-walled beams. On this basis, this paper presents a novel idea and a generic methodology that allows the interface between an extended number of generalised beam displacement modes and joints that are modelled using shell elements. The main novelty is the idea to transform from standard degrees of freedom of the interface into a reduced number of beam displacement mode related degrees of freedom. Thus, the number of degrees of freedom of the joint can be reduced to the corresponding total sum of beam modes that have been chosen for the modelling of each of the connected beam elements. The total number of degrees of freedom used for modelling the complete framework will depend on the selected number of modes in each beam element and on the number of extra internal modes chosen in the joint models. For enhanced structural analysis with advanced beam elements and joints that allow relevant distortions and built-in refined connection components, it is believed that this methodology will enable the full detailed analysis of large steel frameworks with a reasonable number of degrees of freedom.

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Section: Distortional Effects In Thin-walled Beamsmentioning

confidence: 99%

Modelling of steel frames using advanced beam and joint elements with interfaces governed by beam modes

Hansen

Jönsson

2019

Thin-Walled Structures

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“…Here, especially beam theories have been developed and refined. Nonetheless, Basaglia and co-workers have put an effort into developing a detailed approach within the framework of GBT, (11)(12)(13). Later, the assessment of joints able to include the warping effect became relevant in scientific communities (2,3).…”

Section: Introductionmentioning

confidence: 99%

“…However, the GBT is based on a finite element formulation requiring an axial assembly of elements to assess a https://doi.org/10.1002/cepa.1066 wileyonlinelibrary.com/journal/cepa Despite the development of advanced beam theories, the analysis of frames is difficult due to the complexity associated with joining non-aligned components. Nonetheless, Basaglia and co-workers have put an effort into developing a detailed approach within the framework of GBT, (11)(12)(13). They present an advanced formulation connecting non-aligned members.…”

Section: Introductionmentioning

confidence: 99%

Mode‐based Beam and Connection Analysis of Frames

Hansen

Jönsson

2019

ce papers

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Major steel structures are commonly constructed as frames or trusses. The connections between its beams and columns have a crucial influence on the global behaviour. However, a detailed assessment of the joints is often neglected with rough simplifications, which may lead to poor results. On the other hand, if performing a detailed assessment it is a time-consuming task requiring special expertise. Consequently, the idea stressed in this paper is a novel approach on how to analyse thin-walled steel frames including a detailed assessment of both the joint and beam mechanics. The approach is based on a transformation from standard degrees of freedom into a displacementbased mode formulation. Furthermore, this transformation reduces the total number of degrees of freedom to be computed for advanced joints and beam elements. All this is achieved by adopting an advanced beam element formulation as well as introducing the idea of a 'joint element' formulated by finite shell elements. One of the main advantages of this idea is a general formulation of the joint, which makes it valid for many beam-to-column configurations. Furthermore, beam members can either be closed or open sections due to the adopted advanced generalised beam theory. Furthermore, a detailed analysis of the joint element itself is also achieved by this approach. Finally, an increased efficiency is achieved due to reduction of the total amount of degrees of freedom of the advanced model, and a new in-depth knowledge of the joint behaviour is gained from this approach as well, due to the displacement-based mode formulation.

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