Generalized warping analysis of curved beams by BEM

Sapountzakis, E. J.; Tsiptsis, Ioannis N.

doi:10.1016/j.engstruct.2015.06.038

Cited by 22 publications

(11 citation statements)

References 21 publications

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“…This beam is examined as curved with 25.465 R m and an arc length L of 40 m. The displacement field considered is the one described in eqns. (4).…”

Section: Doubly Symmetric Box-shaped Cross Sectionmentioning

confidence: 99%

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Isogeometric Methods in Dynamic Analysis of Curved Beams Including Warping and Distortional Effects

Tsiptsis¹,

Sapountzakis²

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…This beam is examined as curved with 25.465 R m and an arc length L of 40 m. The displacement field considered is the one described in eqns. (4).…”

Section: Doubly Symmetric Box-shaped Cross Sectionmentioning

confidence: 99%

“…The analysis of such members employing the so-called "Higher-Order Beam Theories" [1][2][3] is of increased interest due to their important advantages over more elaborate approaches based on shell or solid finite elements [4], which are mainly incorporated in commercial software.…”

Section: Introductionmentioning

confidence: 99%

Isogeometric Methods in Dynamic Analysis of Curved Beams Including Warping and Distortional Effects

Tsiptsis¹,

Sapountzakis²

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…The earliest research on static analyses of thin-walled beams [1] was by Vlasov in 1960; Dabrowski expanded the thin-walled curved beam theory [2] in 1968. Focusing on different influencing factors, a large number of studies have been made to use the analytical solutions such as solutions considered beam elements [3][4][5][6], the effect of warping distortional analysis [7,8], the higher-order one-dimensional analysis [9][10][11][12], and cross-sectional deformation modes and curvature effect [13,14]. A new two-node finite element is presented for the spatial static analyses considering crosssectional deformation modes and curvature effect; further, the cross section was assumed to be in-extensional.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental study on strain distribution of curved beam in-plane force considering pre-bending

Long

Zhang

Shi

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Curved beam structures have been widely used in mechanical and architectural structures and other fields because of their high strength-to-weight ratio. This paper considers the strain distribution of a welded curved beam structure under the inplane force pre-bending. First, a constitutive relationship is obtained based on tensile test of wall of the curved beam structure. Second, the strain distribution of the pre-bending curved plate is theoretically analyzed and experimentally verified as the initial strain. Subsequently, the theoretical and experimental strain distribution under the action of plane load is applied to the plane curved beam by solid mechanics, finite element, higher-order plane element, and experimental verification analysis. Third, a mathematical expression of strain on the upper and lower plates of the curved beam structure and curved plates on both sides, considering the pre-bending action under in-plane load, is established. Fourth, we establish the residual stress model of curved beam structure under welding action and analyze the strain distribution under the welding action on the section. Finally, we obtain the strain distribution of the curved beam structure under the influence of the curvature change. This study provides a theoretical-and engineering-based approach for analyzing the mechanical properties of curved beam structures. Keywords Curved beam • Strain distribution • Constitutive relationship • Initial strain with pre-bending • Residual stress under welded Technical Editor: João Marciano Laredo dos Reis.

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“…In addition, the transverse bending due to the frame-effect of box cross section and to the distortion itself, imply the contribution of web and slab stiffness to the global strength and to the overall mechanical behavior. This implies that the designer has to consider all these effects for the evaluation of reinforcement demand in the transverse direction and the immediate consequence is the growing importance of analysis methods, which take into account the restrained warping stresses of torsion and distortion together with the transverse forces due to the in-plane deformation (Murı´n et al, 2014;Park et al, 2005;Sapountzakis et al, 2015). The presence of such efforts leads to a strong interaction, especially in the box webs, where the reinforcements are to be considered at the same time as ''stirrups'' of the beam engaged by shear and torsion (tangential stress) and as longitudinal bars of the web, due to transverse bending (axial stresses in the transverse direction).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of web reinforcements in prestressed concrete box girders through shear-transverse bending domains

Granata

Recupero

2020

Advances in Structural Engineering

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In concrete box girders, the amount and distribution of reinforcements in the webs have to be estimated considering the local effects due to eccentric external loads and cross-sectional distortion and not only the global effect due to the resultant forces of a longitudinal analysis: shear, torsion and bending. This work presents an analytical model that allows designers to take into account the interaction of all these effects, global and local, for the determination of the reinforcements. The model is based on the theory of stress fields and it has been compared to a 3D finite element analysis, in order to validate the interaction domains. The results show how the proposed analytical model allows an easy and reliable reinforcement evaluation, in agreement with a more refined 3D analysis but with a reduced computational burden.

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Generalized warping analysis of curved beams by BEM

Cited by 22 publications

References 21 publications

Isogeometric Methods in Dynamic Analysis of Curved Beams Including Warping and Distortional Effects

Isogeometric Methods in Dynamic Analysis of Curved Beams Including Warping and Distortional Effects

Theoretical and experimental study on strain distribution of curved beam in-plane force considering pre-bending

Evaluation of web reinforcements in prestressed concrete box girders through shear-transverse bending domains

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