Direct analysis by an arbitrarily-located-plastic-hinge element — Part 1: Planar analysis

Liu, Si Wei; Liu, Yao‐Peng; Chan, Siu Lai

doi:10.1016/j.jcsr.2014.07.009

Cited by 43 publications

(23 citation statements)

References 25 publications

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“…This element is derived from the arbitrarily-located-hinge (ALH) element proposed by Liu et. al [5,6]. The features of the proposed element includes: (1) High accuracy for the members with tapering Isections; (2) Member initial imperfection is explicitly considered; (3) Large deformations due to the existence of internal degree of freedoms are allowed; and (4) Second-order effects due to large deflection and axial compression are considered.…”

Section: Tapering Beam-column Elementmentioning

confidence: 99%

“…However, an advanced analysis method by introducing the plastic fiber hinge approach proposed by Liu et. al [5,6] to consider the material yielding is discussed in the followings.…”

Section: Total Potential Energy Functionmentioning

confidence: 99%

“…Gu and Chan [4] developed the stability function element with the explicit consideration of member imperfections, and it is a closed-form solution and suitable for simulating the extremely slender members. Recently, Liu et al [5,6] derived the curved Arbitrarily-Located-Hinge (ALH) element with an objective to capture the highly inelastic behaviors along the member length. The element tapering ALH is adopted here and used to design a practical structure which seems to be new and original in structural design technology.…”

Section: Introductionmentioning

confidence: 99%

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Second-order Direct Analysis of Steel Structures made of tapered members

Chan

Liu

2018

Proceedings 12th International Conference on Advances in Steel-Concrete Composite Structures - ASCCS 2018

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Mild steel hot-rolled sections are commonly prismatic because of the rolling process with a furnace, but welded sections made from steel plates do not have such a constraint, especially when robotic welding machines are used. The weight saving could be very significant by, say, using wide flanged section at mid-span and a small flanged section at ends of a simply supported beam. However, design codes do not provide formulae for buckling check of tapered members. This paper proposes a code-free second-order direct analysis for stabilty design of steel frames made of tapered members. The design is further applied to a single layered mega space frame of 136m span. In the whole design process based on the concept of Second-order Direct Analysis, no uncertain effective length and independent member buckling checking are required.

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Section: Tapering Beam-column Elementmentioning

confidence: 99%

“…However, an advanced analysis method by introducing the plastic fiber hinge approach proposed by Liu et. al [5,6] to consider the material yielding is discussed in the followings.…”

Section: Total Potential Energy Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Second-order Direct Analysis of Steel Structures made of tapered members

Chan

Liu

2018

Proceedings 12th International Conference on Advances in Steel-Concrete Composite Structures - ASCCS 2018

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“…In the present study, the arbitrarilylocated-hinge (ALH) element proposed by Liu et al [26,27] is adopted.…”

Section: Beam-column Element Formulationsmentioning

confidence: 99%

“…(ALH) element, proposed by Liu et al [26,27], is employed and the initial member curvature associated with P-d and P-D effects can be directly modeled in an incremental-iterative numerical procedure.…”

Section: Introductionmentioning

confidence: 99%

Direct analysis for high-strength steel frames with explicit-model of residual stresses

Liu

Chan

2015

Engineering Structures

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05.13: Efficient static and dynamic analysis of steel frames by one‐element‐per‐member models

Liu

Chen

et al. 2017

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This paper proposes an efficient numerical analysis technique for static and dynamic analysis of space steel frames by one-element-per-member model, considering material and geometric nonlinearities including P-Δ-δ effects, large global deflections and member deformations. The curved arbitrarilylocated-hinge (ALH) beam-column element is developed for capturing members' behaviours and simulating initial imperfections. Unlike the conventional plastic hinge element requiring two and more elements to capture the locations of plastic hinge along member length, which causes certain difficulties to model member initial imperfections, one proposed element per member is sufficient. The plastic hinges are simulated as gradually softening springs and the corresponding formulae are presented. The additional degrees of freedom in the element are condensed so that it can be easily incorporated into the existing software with dramatic improvement on numerical efficiency and accuracy. The consistent element mass matrix is derived based on the Hermite interpolation function, and the Rayleigh damping model is adopted for representing the system viscosity. Verification examples are given to validate the present model in simulating inelastic yielding and dynamic behaviours of the steel frames and members under loads. One distinct feature of the research is to propose an effective analytical framework using high-performance elements, dramatically improving the numerical efficiency and making the method being practical.

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Direct analysis by an arbitrarily-located-plastic-hinge element — Part 1: Planar analysis

Cited by 43 publications

References 25 publications

Second-order Direct Analysis of Steel Structures made of tapered members

Second-order Direct Analysis of Steel Structures made of tapered members

Direct analysis for high-strength steel frames with explicit-model of residual stresses

05.13: Efficient static and dynamic analysis of steel frames by one‐element‐per‐member models

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