Improved arc length orthogonality methods for nonlinear finite element analysis

Forde, Bruce W.R.; Stiemer, S. F.

doi:10.1016/0045-7949(87)90078-2

Cited by 147 publications

(66 citation statements)

References 5 publications

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“…6b), with no participation of axial and torsional forces, was considered in the third sequence. Non-linear calculations used the Arc-Length [14] method, which facilitated an analysis in the full load range to find the non-destructive load and also monitor the post-critical balance path. The calculations were conducted by kinematic extortion applied at the top support.…”

Section: Fe Boundary Condition and Calculation Methodsmentioning

confidence: 99%

Test-supported numerical analysis for evaluation of the load capacity of thin-walled corrugated profiles

Piekarczuk

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. The paper concentrates on a quantitative evaluation of the load capacity of thin-walled, curved steel profiles used as arched roofs in building structures. Corrugation of a profile surface formed by cold rolling changes its load capacity as compared to thin-walled profiles. The paper presents a comparative evaluation of the influence of a sample profile corrugation on its ability to transfer internal forces. The results of the study are presented as limit curves describing load capacity at simultaneous bending and compression. The analysis was conducted using a numerical computational method supported by a study of elements in natural scale. The paper presents a methodology of test-supported calculations and guidelines for practical use by designers.

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Section: Fe Boundary Condition and Calculation Methodsmentioning

confidence: 99%

Test-supported numerical analysis for evaluation of the load capacity of thin-walled corrugated profiles

Piekarczuk

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…To overcome difficulties with limit points, displacement control techniques were introduced and for this reason the modified arc-length method was used in ANSYS to follow the load-deformation path (Forde and Stiemer, 1987;Crisfield, 1997).…”

Section: An Assessment Of Kinematics At Collapse Through Nonlinear Fimentioning

confidence: 99%

Influence of actual plastic hinge placement on the behavior of ductile frames

Fraldi

Gesualdo

Guarracino

2014

J. Zhejiang Univ. Sci. A

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Abstract:The ultimate load and collapsing modes of steel frames under combined vertical and horizontal forces are investigated through finite element (FE) modelling and limit analysis. Consideration is given to a frequently overlooked problem which is the kinematics arising from the actual rotation of the plastic hinges under axial force and bending moment. This fact draws attention to the necessity of a careful assessment of the limit analysis approaches, a fact that might be seen as somewhat in line with the outcome from famous paradoxes, such as the one by Stüssi and Kollbrunner (1935), which can only be solved by making reference to both elastic and plastic deformations. As a result, it can be shown that in such a manner, it is possible to obtain a handy tool capable of competing with much more computationally expensive methodologies. The approach may be relevant to practising engineers dealing with code prescriptions and standardization committees.

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Section: Influence Of Mixed-mode Imperfectionsmentioning

confidence: 99%

Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

Fraldi

Guarracino

2014

Advances in Mechanical Engineering

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The elastic-plastic collapse of circular beams under uniform lateral pressure with an initial imperfection represented by a combination of different modes and amplitudes and with varying material properties is analysed from a computational viewpoint. The work is stimulated by a number of accurate experimental tests recently performed and it is found that both the initial imperfection and the material inhomogeneity along the beam axis can affect the collapse and produce a sensible variation in the carrying capacity of the structure on account of the changes between the underlying buckling modes. This can give reason for some apparently anomalous observed experimental results.

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Improved arc length orthogonality methods for nonlinear finite element analysis

Cited by 147 publications

References 5 publications

Test-supported numerical analysis for evaluation of the load capacity of thin-walled corrugated profiles

Test-supported numerical analysis for evaluation of the load capacity of thin-walled corrugated profiles

Influence of actual plastic hinge placement on the behavior of ductile frames

Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

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