Large deformation elastic-plastic analysis of space frames

Abbasnia, Reza; Kassimali, Aslam

doi:10.1016/0143-974x(95)00008-j

Cited by 15 publications

(27 citation statements)

References 9 publications

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“…The formulation of this study is valid for the elasto-plastic large deformation analysis of Strarch frame for the flexible top chord with conventional beam-column equations [6,7]. The accuracy and efficiency are demonstrated lately.…”

Section: Eulerian Formulation For Finite Rotationmentioning

confidence: 98%

“…Since in this study, large deformational elasto-plastic 3D space frame element based on Eulerian formulated beam-column element is used for Strarch flexible top chord member. The local member force-deformation relationships are based on the beam-column approach, and the change in member chord lengths caused by axial strain and flexural bowing is taken into account [6,7]. An Eulerian formulation [8,9] which takes into consideration the effects of large joint rotations with finite rotation is used.…”

Section: Semi-rigid Elasto-plastic Beam-column Elementmentioning

confidence: 99%

“…Given these circumstances, an analysis method for the stresserection process for the Strarch system is developed using a large deformational elasto-plastic beam-column element [6,7], considering Eulerian finite rotation [8,9] and various joint connection properties of rigid, semi-rigid and hinged joints [10,11] and using an explicit quasistatic dynamic relaxation method (DRM) [12][13][14][15][16][17][18][19]. Using this method, the stress-erection process for a Strarch structure constructed in Incheon, Korea, shown in Fig.…”

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confidence: 99%

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Analysis of the stress-erection process of Strarch frames considering the joint connection properties

Lee

Han

2014

Journal of Constructional Steel Research

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Section: Eulerian Formulation For Finite Rotationmentioning

confidence: 98%

Section: Semi-rigid Elasto-plastic Beam-column Elementmentioning

confidence: 99%

mentioning

confidence: 99%

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Analysis of the stress-erection process of Strarch frames considering the joint connection properties

Lee

Han

2014

Journal of Constructional Steel Research

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“…Kassimali and Abbasnia (1991) use a Eulerian formulation to consider large joint translations and rotations. Abbasnia and Kassimali (1995) use an idealized elastic-plastic material to model localized hinging. The modeling of ductile materials is also investigated using constitutive relationships (Marcon et al, 1999;Brunig, 1998; Barsan and Chiorean, 1999), and zero-length plastification models (Kim and Lee, 2001;Liew et al, 2000).…”

Section: Introductionmentioning

confidence: 99%

Post-yield material nonlinearity: Optimal homogeneous shear-frame sections and hysteretic behavior

Attard

2005

International Journal of Solids and Structures

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A nonlinear hardening rule that describes a general yield surface change for frame members is proposed. The rule is valid for homogeneous materials and is defined by a nonlinear constitutive model. The model is given as the stressstrain relationship through the section thickness. The post-yield behavior of shear frame members is assessed using a hardening index parameter, a plastic strain coefficient, and a smooth and optimal mathematical function to model the geometry of structural wide-flange and tube sections. This enables a continuous distribution of post-yield curvatures to exist along the member length and results in accurate finite-element member displacement predictions. Steady-state hysteresis responses are determined for frame sections using the modelÕs nonlinearly degrading stiffness. The hardening rule is used to model the detailed material behavior of shear frame members that are subjected to lateral loads. The results of the model are validated through experimental published literature.

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“…Shi and Atluri (1988) (22) extended these ideas to threedimensional frames, claiming that the proposed element could undergo arbitrarily large rigid rotations in space. However, as also noticed by Abbasnia and Kassimali (1995) (23), the rotations of the joints are treated by Shi and Atluri as vectorial quantities. This limits the application of the element to problems with small rotations, leading to inaccurate results when the proposed element is used in structures subject to large rotations.…”

Section: Force Based Formulationmentioning

confidence: 99%

Earthquake engineering

SpringerReference

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In this work two parallel approaches -displacement and mixed finite element based methods are employed for seeking the solutions of small strain/large displacement of in-plane beam and frame problems, and further its consistent numerical implementation in a finite element program is achieved. The adopted kinematics hypothesis is based on the geometrically exact theory for beams with straight beam element under static loading conditions. An updated lagrangian approach is used for the structure geometry at any stage. Shear deformation is considered in both approaches. Shear locking is observed in displacement based formulation which is removed by reduced integration rule whereas no locking is observed in force based formulation. Displacement based method is the immediate work from literature-a two-dimensional geometrically exact theory of beams while an independent attempt is made in mixed finite element method to include the geometric nonlinearity. This uses the approach of Hu-Washizu variational formulation at element level: with in the general framework of the displacement method for the solution of the global structural problem. Equilibrium and compatibility are always satisfied along the element in force based formulation. Some planar problems are studied to validate the results from both models.i Acknowledgements ACKNOWLEDGEMENTS

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Large deformation elastic-plastic analysis of space frames

Cited by 15 publications

References 9 publications

Analysis of the stress-erection process of Strarch frames considering the joint connection properties

Analysis of the stress-erection process of Strarch frames considering the joint connection properties

Post-yield material nonlinearity: Optimal homogeneous shear-frame sections and hysteretic behavior

Earthquake engineering

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