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Co-rotational planar beam element with generalized elasto-plastic hinges
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges. Université Européenne de Bretagne, France.
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2017 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 151, p. 188-205Article in journal (Refereed) Published
Abstract [en]

Slender elements in framed structures may undergo large displacement and experience highly nonlinear behavior. This paper presents a two-node co-rotational flexible beam with generalized elasto-plastic hinges at the beam ends. A Condensation procedure is used to remove the internal degrees of freedom so that the formulation is easily incorporated with the standard co-rotational approach. A family of asymmetric and convex yield surfaces of super-elliptic shape is considered for the plastic behavior of the hinges. By varying the roundness factor, an infinite number of yield surfaces are obtained making it possible to select the yield function that best fit experimental data of any type of cross-section and material. The nonlinear response of bolted connections subjected to both bending and axial forces are conveniently modeled with such a yield surface. Discrete constitutive equations for the hinge plastic deformations are derived using the implicit scheme for both smooth and non-smooth cases. Numerical examples demonstrate the accuracy of the model in predicting the large displacement inelastic response of framed structures. Effect of the roundness factor on the ultimate load strongly depends on the structure typology. It was observed that cyclic loading produces pinching effect, cyclic softening and ductile behavior. Those effects are more pronounced with anisotropic yield criteria.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 151, p. 188-205
Keywords [en]
Steel structure, Nonlinear analysis, Generalized plastic hinge, Co-rotational approach, Large displacement, Super-elliptic yield criterion
National Category
Building Technologies
Identifiers
URN: urn:nbn:se:kth:diva-217278DOI: 10.1016/j.engstruct.2017.07.085ISI: 000412960600015Scopus ID: 2-s2.0-85028705221OAI: oai:DiVA.org:kth-217278DiVA, id: diva2:1154940
Note

QC 20171106

Available from: 2017-11-06 Created: 2017-11-06 Last updated: 2017-11-06Bibliographically approved
In thesis
1. Simplified mechanical models for the nonlinear dynamic analysis of elasto-plastic steel structures impacted by a rigid body
Open this publication in new window or tab >>Simplified mechanical models for the nonlinear dynamic analysis of elasto-plastic steel structures impacted by a rigid body
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Buildings subjected to impact and explosion are usually studied using large scale and highly nonlinear finite element model which are time-consuming. The first part of the thesis deals with the development of simple and accurate models for evaluating the nonlinear inelastic behaviour of steel frame structures subjected to impact. The research work in this part has produced four simplified models. The first model concerns with a 4DOF model that reproduces the behaviour of the impacted column. The restraining effect from the rest of the structure is modelled by an elastic spring, a head mass and a static load applied at the top of the column. In the second model, the impacted column is then further simplified using a SDOF model. The behaviour of the SDOF model is governed by an analytical force-displacement expressions of the column loaded by a located force. The maximum displacement of the impacted column can also be determined explicitly by adopting an energy-equivalent approach. Afterwards, in an effort to model the whole structure, two finite element models are developed. For these models, a co-rotational super-element that consists of a beam element and two generalized elasto-plastic hinges is obtained by performing a static condensation. An elastic flexible beam element is used in the first finite element model, whereas a rigid beam element is considered in the second one.

In these models, inelasticity is concentrated at generalized elasto-plastic hinges which are modelled by combined axial-rotational springs. The behaviour of the hinges is uncoupled in the elastic range while an axial-bending interaction is considered in the plastic range making it possible to reproduce a wide range of cross-sections and joints. In addition, unilateral contact between rigid point masses is considered and the energy loss during impact is accounted by means of a restitution coefficient following Newton’s impact law. Energy-momentum scheme is used to solve the equations of motion produced by these models.

The second part of the thesis concerns with the performance of the connectors in composite steel-concrete slabs under explosion. The purpose is to determine residual capacities of the shear connectors after being damaged by explosion using large-scale pull-out and push-out experimental tests and finite element simulations.

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2017. p. 176
Series
TRITA-BKN. Bulletin, ISSN 1103-4270 ; 151
National Category
Building Technologies
Research subject
Civil and Architectural Engineering
Identifiers
urn:nbn:se:kth:diva-217281 (URN)
Public defence
2017-12-08, Kollegiesalen, Brinellvägen 8, Stockholm, 10:00 (English)
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Note

QC 20171106

Available from: 2017-11-06 Created: 2017-11-06 Last updated: 2017-11-07Bibliographically approved

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