Spatial Postbuckling Analysis of Nonsymmetric Thin-Walled Frames. II: Geometrically Nonlinear FE Procedures

Kim, Moon-Young; Chang, Sung‐Pil; Kim, Sung-Bo

doi:10.1061/(asce)0733-9399(2001)127:8(779)

Cited by 21 publications

(17 citation statements)

References 14 publications

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“…In order to calculate the eigenvalues, it is necessary to obtain the prebuckling state by solving the selfequilibrating system of initial stresses and, initial volume and surface forces (see references [24,25,27]). …”

Section: Finite Element Analysismentioning

confidence: 99%

See 1 more Smart Citation

Stability of composite thin-walled beams with shear deformability

Cortínez

Piován

2006

Computers & Structures

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Section: Finite Element Analysismentioning

confidence: 99%

“…In fact, in the context of isotropic thin-walled beams, Kim et al [24,25] demonstrated that the omission of these terms may lead to inaccurate results of buckling loads for some cases, especially when an off-axis loading is considered.…”

Section: Introductionmentioning

confidence: 99%

Stability of composite thin-walled beams with shear deformability

Cortínez

Piován

2006

Computers & Structures

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“…The rotation tensor T( n θ) results the natural rotation vector n θ according to the procedure given in Equations (11)(12)(13)(14)(15)(16)(17)(18)(19) to extract the rotation vector from the rotation tensor. The components of the rotation vectors n θ i for a node i give the natural rotations on the node.…”

Section: Overviewmentioning

confidence: 99%

“…Kim et al [15][16][17] and Hsiao et al [18][19][20][21] also employed this condition to define the natural deformation. Let us define the natural torsions as n θ i1 and n θ j1 for each node, which is a rotation about the 1-axis of the reference coordinate system.…”

Section: Determination Of the 2-and 3-axes Of The Reference Coordinatmentioning

confidence: 99%

Reference Coordinate System of Nonlinear Beam Element Based on the Geometrically Exact Formulation under Large Spatial Rotations and Deformations

Kyoung-Chan¹,

Chang²,

Park³

et al. 2011

ENG

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Analysis of slender beam structures in a three-dimensional space is widely applicable in mechanical and civil engineering. This paper presents a new procedure to determine the reference coordinate system of a beam element under large rotation and elastic deformation based on a newly introduced physical concept: the zero twist sectional condition, which means that a non-twisted section between two nodes always exists and this section can reasonably be regarded as a reference coordinate system to calculate the internal element forces. This method can avoid the disagreement of the reference coordinates which might occur under large spatial rotations and deformations. Numerical examples given in the paper prove that this procedure guarantees the numerical exactness of the inherent formulation and improves the numerical efficiency, especially under large spatial rotations.

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“…This effect is related to the shortening effect of torsion (and therefore, to the Wagner effect) but appears to be neglected in many 3D second-order beam elements that account for shear-centre eccentricities [31,39]. In order to account for this effect, the third order terms of the twist rate must be included in the element formulation [35,40,[43][44].…”

Section: Geometrically Nonlinear Analysis Of An Angle Cantilever Undementioning

confidence: 99%

Beam element verification for 3D elastic steel frame analysis

Teh

2004

Computers & Structures

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The paper describes the attributes that should be possessed by a benchmark example for verifying the beam elements used to carry out 3D linear buckling analysis and 3D second-order elastic analysis of steel frames. Based on the attributes described, the paper proposes a suite of benchmark examples selected from the literature. The necessary features of a beam element required to pass the proposed benchmark problems are given, and beam elements that possess these features are cited. The paper also explains the merits of linear buckling analysis examples, and provides a commentary on two well-known examples.

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Spatial Postbuckling Analysis of Nonsymmetric Thin-Walled Frames. II: Geometrically Nonlinear FE Procedures

Cited by 21 publications

References 14 publications

Stability of composite thin-walled beams with shear deformability

Stability of composite thin-walled beams with shear deformability

Reference Coordinate System of Nonlinear Beam Element Based on the Geometrically Exact Formulation under Large Spatial Rotations and Deformations

Beam element verification for 3D elastic steel frame analysis

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