Improved nonlinear plastic hinge analysis of space frame structures

Liew, J.Y. Richard; Chen, H.; Shanmugam, N. E.; Chen, W.F.

doi:10.1016/s0141-0296(99)00085-1

Cited by 147 publications

(109 citation statements)

References 8 publications

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“…This shortcoming has been cited in recent literature as a reason against the use of the cubic element in structural analysis/design of steel frames, as it is thought to increase the complexity of structural modelling and the cost of computation [21,22]. Chan & Zhou [21] and Liew et al [22] point to the Euler buckling problems of axially compressed columns such as those depicted in Fig.…”

Section: Linear Buckling Analysismentioning

confidence: 99%

“…Furthermore, the fact that the easily overcome shortcoming of the cubic element is well documented should be a reason 'for' rather than 'against' its use, although some authors considered this well-known shortcoming a major pitfall [22]. A pitfall is in fact more likely with a newly proposed element or beam-column.…”

Section: Fig 1 Columns With Standard Boundary Conditionsmentioning

confidence: 99%

“…Very recently, Liew et al [22] stated that eight cubic elements are required to trace the nonlinear equilibrium path of the Williams' toggle. Liew et al [22] also claimed that their…”

Section: Second-order Elastic Analysismentioning

confidence: 99%

“…7, so a value of w/L equal to 0.2 represents a very excessive deformation of the column. It should also be noted that the cubic element used by Liew et al [22] to trace the post-buckling path is the UL element which assumes a straight configuration at the reference state. Furthermore, notwithstanding the contention of Liew et al [22], it is evident from Fig.…”

Section: Second-order Elastic Analysismentioning

confidence: 99%

“…It should also be noted that the cubic element used by Liew et al [22] to trace the post-buckling path is the UL element which assumes a straight configuration at the reference state. Furthermore, notwithstanding the contention of Liew et al [22], it is evident from Fig. 8 that the use of two such cubic elements compares favourably against the use of two elements proposed in their paper.…”

Section: Second-order Elastic Analysismentioning

confidence: 99%

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Cubic beam elements in practical analysis and design of steel frames

Teh

2001

Engineering Structures

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This paper discusses various issues in the use of cubic beam elements for computer structural analysis/design of steel frames. It is pointed out that the concern expressed in recent literature regarding the number of cubic elements required to model a steel member is not justified, and that the inaccuracy of one cubic element in Euler buckling analysis of a simply supported column is largely irrelevant to the second-order elastic analysis/design or advanced analysis of steel frames. The sources of inaccuracy of the cubic element are elucidated. It is also explained that the plastic-zone analysis method is not so inefficient as was previously believed. The spatial cubic element is shown to be capable of accurately accounting for the coupling between axial, flexural and torsional deformation modes. It is concluded that for the purposes of second-order elastic analysis/design and advanced analysis of 2D and 3D steel frames, the well-documented cubic element is a versatile and efficient choice.

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Section: Linear Buckling Analysismentioning

confidence: 99%

Section: Fig 1 Columns With Standard Boundary Conditionsmentioning

confidence: 99%

“…Very recently, Liew et al [22] stated that eight cubic elements are required to trace the nonlinear equilibrium path of the Williams' toggle. Liew et al [22] also claimed that their…”

Section: Second-order Elastic Analysismentioning

confidence: 99%

Section: Second-order Elastic Analysismentioning

confidence: 99%

Section: Second-order Elastic Analysismentioning

confidence: 99%

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Cubic beam elements in practical analysis and design of steel frames

Teh

2001

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

ce papers

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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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Extremely large displacement dynamic analysis of elastic–plastic plane frames

Wang

Tsai

Lin

2011

Earthq Engng Struct Dyn

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This paper presents a numerical analysis of large displacement responses of elastic-plastic plane frames under static and dynamic loads, by applying the vector-form intrinsic finite element method. The VFIFE method defines the structure into a number of mass points, and applies Newton's second law and the internal force equilibrium to describe the motions of each mass point. By tracing the motions of all the mass points, it can analyze the large geometrical and material nonlinear changes during the motion of the structure without using the geometrical stiffness matrix and iterative procedures. Three different numerical examples are presented to demonstrate both the capability and the accuracy of the VFIFE method in a nonlinear dynamic analysis of frame structures with extremely large displacement.CR formulation based on a convected material frame. All of these methods are rather effective for analyzing the transient responses of structures made of inelastic materials and large deformation characteristics [9]. For nonlinear material structures, most of the existing nonlinear material models can be classified into two main categories: lumped and distributed plasticity models. The lumped model is an efficient way to represent inelasticity in frames. A typical finite element method (FEM) considering the geometrical and material nonlinearities requires iterations at each incremental step to achieve the equilibrium [10]. This method encourages flexural yielding and can ensure that plastic hinge rotation will occur at the member ends rather than along the column length. The second-order plastic hinge concept based on the use of stability interpolation functions has been proposed for frame structure analysis [11][12][13][14][15][16][17]. Marante et al. [18] proposed a general criterion of localization and two plastic hinges at the end of the frame member. Some researches improved the lumped plastic hinge method, such as for example the distributed plasticity model (also called plastic-zone model), which allows for the gradual spread of yielding within the member. In the distributed plasticity model, the frame element stiffness can be computed by using either the displacement [19] or the force-based approach [20][21][22]. This allows plastic hinges to form at any location in an element. In addition, the element cross-section can be a fiber section using different stressstrain models for different fibers within the cross-section. Without properly taking into account the internal forces due to pure deformations, most of these studies may not be able to simulate inelastic structural responses of moving structures subjected to extremely large displacements or deformations.Another type of method, the discrete numerical method is suitable to study large deformation, cracking and failure of structures. For example, the rigid-body spring model (RBSM) was proposed by Kawai and Kondou [23]. In this model, each element consists of rigid bodies with two springs, called normal and shear springs which allow the restoring forces to be ...

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Improved nonlinear plastic hinge analysis of space frame structures

Cited by 147 publications

References 8 publications

Cubic beam elements in practical analysis and design of steel frames

Cubic beam elements in practical analysis and design of steel frames

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

Extremely large displacement dynamic analysis of elastic–plastic plane frames

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