Advanced flexibility-based beam-column element allowing for shear deformation and initial imperfection for direct analysis

Du, Zuo-Lei; Ding, Zhixia; Liu, Yao‐Peng; Chan, Siu Lai

doi:10.1016/j.engstruct.2019.109586

Cited by 14 publications

(14 citation statements)

References 29 publications

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“…Over the past thirty years, several researchers have developed advanced methods for analyzing and designing steel frame structures [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 ]. An advanced analysis method may consider some of the following relevant aspects: geometric nonlinearity, inelasticity of material, nonlinear connections, residual stresses, imperfections, buckling, and others.…”

Section: Introductionmentioning

confidence: 99%

“…An advanced analysis method may consider some of the following relevant aspects: geometric nonlinearity, inelasticity of material, nonlinear connections, residual stresses, imperfections, buckling, and others. Researchers have investigated two advanced analysis methods, namely plastic hinge approaches [ 1 , 2 , 5 , 7 , 8 , 11 , 18 , 19 , 20 , 21 ] and distributed plasticity approaches [ 3 , 4 , 6 , 10 , 12 , 13 , 14 , 15 ]. In general, distributed plasticity approaches are more accurate but also more complicated and computationally expensive than plastic hinge approaches [ 22 ].…”

Section: Introductionmentioning

confidence: 99%

“…(2017) [ 17 ], Du et al. (2019) [ 21 ], and others have proposed a second-order flexibility-based framed element for direct analysis of steel frames. The work of Du et al.…”

Section: Introductionmentioning

confidence: 99%

“…The work of Du et al. (2019) [ 21 ] considers the interaction of initial imperfections, shear deformation, and inelasticity of material simultaneously. They employ Hellinger-Reissner functions for precisely capturing the forces inside the element.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear time-history earthquake analysis for steel frames

Nguyen

Tran

Nguyen

2021

Heliyon

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This study presents a simple, efficient, accurate method for nonlinear time-history earthquake analysis of spatial steel frames. The proposed new fiber plastic hinge method simulating only one element for each member captures the time-history dynamic behavior of steel frames as accurately as sophisticated plastic zone methods. Stability functions and the geometric stiffness matrix are employed for predicting the second-order effects that aim to minimize computational time and computer resources. Residual stresses are considered through two fiber plastic hinges by assigning initial stress values. A numerical integration procedure using Newmark integration combined with the Newton-Raphson balanced iteration algorithm is developed to find a solution to nonlinear dynamic equilibrium equations of the structural system. Shear deformation effects are also considered in the dynamic analysis. The proposed software, named Direct Advanced Analysis and Design (DAAD), is proved to be accurate and reliable as compared with the analysis results generated by expensive commercial Finite Element Analysis (FEA) software packages. The proposed DAAD program can be improved for performance-based direct design and analysis.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…(2017) [ 17 ], Du et al. (2019) [ 21 ], and others have proposed a second-order flexibility-based framed element for direct analysis of steel frames. The work of Du et al.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear time-history earthquake analysis for steel frames

Nguyen

Tran

Nguyen

2021

Heliyon

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“…bending moments are increased by the axial force), leading to instability of beam-column elements. P-small delta phenomenon can be considered by using the geometric stiffness matrix combining with meshing elements into many short elements, or it can be considered by using high-order displacement-interpolation functions combining with the flexibility method and monitoring some integration points along the member length [25][26][27], or it can be considered by using corotational formulations, but this method is relatively complicated. To reduce computer resources and computational efforts, this study employed stability functions [28] to consider the P-small delta phenomenon since only oneelement modeling can precisely predict this effect.…”

Section: Introductionmentioning

confidence: 99%

Impacts of residual stress and shear deformation on 2D steel frames using fiber plastic hinge element: nonlinear behavior and strength

Nguyen

Tran

2021

SN Appl. Sci.

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In this study, impacts of residual stress and shear deformation are investigated on 2D steel frames using a new fiber plastic hinge method. Geometry and material nonlinearities, residual stress, shear deformation, imperfections are considered simultaneously in the nonlinear analysis. The proposed method is efficient in computational efforts since the one-element modeling is used for the nonlinear analysis by employing stability functions for capturing the P-small delta phenomenon. The P-large delta phenomenon is considered using the geometric stiffness matrix. Plastic hinges are assumed to be formed at two ends of members. Cross-sections at two ends of members are divided into many fibers. The ECCS residual stress pattern is assigned directly through fibers as initial stress conditions. A finite element program is coded using the Fortran programming language for predicting the nonlinear behavior and ultimate strength of planar steel frames. The behavior and load-carrying capacity of steel frames are predicted precisely and efficiently using the nonlinear inelastic analysis. A case study of a large-scale planar steel frame is investigated for the frame's behavior and strength under the effects of residual stresses and shear deformation. Through numerical examples, we recommend that both residual stress and shear deformation should be considered in the advanced direct analysis and design procedures for steel-framed structures. Article highlights• A nonlinear 2D beam column element is developed successfully using onlyone element per member for modeling. • Geometric nonlinearities, material plasticity, residual stress, and sheardeformation are investigated simultaneously.• Both residual stress and shear deformation should be considered in the engineering design of steel frames.

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