Nonlinear Curved‐Beam Element for Arch Structures

Wen, Robert K.; Suhendro, Bambang

doi:10.1061/(asce)0733-9445(1991)117:11(3496)

Cited by 44 publications

(25 citation statements)

References 17 publications

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“…Geometry of the ÿxed-at-edges arch. [13] or [14] simulated it in the pre-buckling behaviour. A further development was performed by Pin and Trahair [15] carrying out simulations after buckling point.…”

Section: Numerical Examplementioning

confidence: 99%

A combined implicit–explicit algorithm in time for non‐linear finite element analysis

Curiel-Sosa

Neto

Owen

2005

Commun. Numer. Meth. Engng.

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SUMMARYAn algorithm combining the numerical execution in time of implicit and explicit methods of solution is presented in this paper. The algorithm swaps between both methods as required for the analysis. The whole mesh is solved for an unique method at once, i.e. there are no partitions of the mesh for separate implicit or explicit treatment of the solution. The combination is in-time, in such a manner that if the implicit method starts diverging the explicit one is initiated by appropriate conditions of transition. The formulation is presented ÿrst and its implementation is validated by the analysis of a key numerical example.

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Section: Numerical Examplementioning

confidence: 99%

A combined implicit–explicit algorithm in time for non‐linear finite element analysis

Curiel-Sosa

Neto

Owen

2005

Commun. Numer. Meth. Engng.

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“…al. [10], among others. Curved beams have also been studied to investigate their behavior and evaluate the ultimate capacity under different conditions and end restraints.…”

Section: Introductionmentioning

confidence: 98%

Torsion and Out-of-Plane Moment Coupling in Curved Beams and Arches

Nafie¹

2016

IJRET

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Although arches and curved beams have very attractive structure behavior in the plane of curvature, the behavior in the out of plane is very critical. This is due to the coupling effect of the torsional, bending and axial straining actions due to the geometry of the arch / curved beam. In this paper, coupling between the torsional moment and out-of-plane moment in arches was studied. A parametric study was conducted to identify the effect of different parameters on the coupling behavior. It was found that the rise of the arch, the support configuration and the rigidity of the supports had a considerable effect on the value of the out-of-plane moment produced due to torsional load. Similar to arches, horizontally curved beams experienced the same coupling effect in the plane perpendicular to the plane of curvature, i.e. in the vertical plane. In order to emphasize the importance of this phenomenon, a practical example comparing a curved beam and a straight beam was presented. Both beams were subjected to uniform torsional moments. It was shown that the design demand on the curved beam increased by more than 250% compared to the straight beam due to the secondary moment perpendicular to the plane of curvature induced due to the torsional load. This result showed that if the curved beam is subjected to torsional load, simplifying the design by ignoring the curvature could lead to serious failures even in cases where the curvature is not big.

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“…In the nonlinear range, particularly after buckling, the deformations of the arch increase rapidly and become very large, so that predicting the large deformation nonlinear behaviour correctly requires consideration of the effects of large deformations on the deformed curvature and on the axial deformations as pointed out by Pi and Trahair [1]. However, in conventional formulations for curvedbeam elements [2][3][4][5][6], the nonlinear strains under in-plane loading consist only of nonlinear membrane strains and linear bending strains. The higher-order bending strain components have been ignored in the conventional finite-element (FE) formulations of curved-beam elements [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…However, in conventional formulations for curvedbeam elements [2][3][4][5][6], the nonlinear strains under in-plane loading consist only of nonlinear membrane strains and linear bending strains. The higher-order bending strain components have been ignored in the conventional finite-element (FE) formulations of curved-beam elements [2][3][4][5][6]. Pi and Trahair [1] developed a curved-beam element for the in-plane nonlinear elastic analysis of arches by considering the effects of the higher-order curvature components due to bending and the axial deformations of the bending deformation.…”

Section: Introductionmentioning

confidence: 99%