Geometrically Non-Linear Finite Element Reliability Analysis of Steel Plane Frames With Initial Imperfections / Plieninių Rėmų Su Defektais Geometriškai Netiesinė Baigtinių Elementų Patikimumo Analizė

Kala, Zdeněk

doi:10.3846/13923730.2012.655306

Cited by 52 publications

(45 citation statements)

References 39 publications

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“…Other usable materials for the determination of input random variables of computational models include the tolerance standards EN 1090-2: 2008+A1:20112008+A1: (20112008+A1: ), EN 10034:19932008+A1: (1993, which list maximum permissible deviations in the geometry of the structure or elements. The maximum allowable geometric deviations specified in the Eurocodes can never be met with 100% probability during production of steel structures; usually 5% noncompliance of the tolerance limits is considered (Kala 2011(Kala , 2012.…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis of the Lateral Torsional Buckling Resistance and the Ultimate Limit State of Steel Beams With Random Imperfections

Kala

2015

Journal of Civil Engineering and Management

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The paper deals with the analysis of reliability of a hot-rolled steel IPE-beam designed according to Eurocodes. A beam at its ultimate limit state is considered. The load acting on the beam consists of permanent and long-term single variation actions. The beam is loaded with end bending moments about the major principal axis. The beam is susceptible to lateral torsional buckling between the end supports. Reliability of the beam is assessed using probabilistic analysis based on the Monte Carlo method. Failure probability is a function of the random variability of the loadcarrying capacity and the random variability of load effects. The variability of the load-carrying capacity is influenced by the variability of initial imperfections. Imperfections are considered according to experimental research. Numerical studies showed that the failure probability is significantly misaligned. High values of failure probability were obtained for slender beams, for beams loaded only by permanent load action, and for beams loaded only by long-term single variation load. In further studies the values of partial safety factors of load and resistance were calibrated so that the failure probability had a target value of 7.2E-5. Relatively high values of partial safety factors were obtained especially for beams with high slenderness.

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Section: Introductionmentioning

confidence: 99%

Reliability Analysis of the Lateral Torsional Buckling Resistance and the Ultimate Limit State of Steel Beams With Random Imperfections

Kala

2015

Journal of Civil Engineering and Management

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“…The resistance is the crucial quantity influencing the safety and reliability of steel beam [2]. In general, imperfections are random quantities, see, e.g., [3][4][5][6][7]. Initial imperfections are often modelled so that they originate in the first eigenmode of lateral-beam buckling [8].…”

Section: Introductionmentioning

confidence: 99%

The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance

Valeš¹

2015

AIP Conference Proceedings

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The paper deals with statistical analysis of the resistance of simply supported I-beams subjected to bending. The resistance was solved by applying the geometrically nonlinear solution. The influence of lateral-beam buckling on resistance is studied. Initial geometrical imperfections originating from the first eigenmode of lateral-beam buckling and from the cross section rotation at the stability lost were ascribed to the beams. These imperfections consist of initial axial lateral buckling and rotation of cross sections along the beam axis length. The correlation between the amplitudes of these imperfections is considered to be the parameter of solutions within the interval from -1 to 1. The influence of this correlation on the change of mean values and standard deviations of random resistance of beams with nondimensional slenderness close to 1 is studied. The imperfections mentioned were considered, together with geometrical and material characteristics of cross section and material characteristics of steel, to be random quantities.

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“…The analysis of reliability and limit states of load bearing structural members and geotechnical bodies is usually based on advanced statistical methods (e.g. Kala, 2012;Kala, Valeš, & Jönsson, 2017;Jönsson, Müller, Gamst, Valeš, & Kala, 2019;Chalmovský et al, 2017) and sensitivity analysis (Kala & Valeš, 2018;Štefaňák, Kala, Miča, & Norkus, 2018). Stochastic modelling of fatigue processes is preceded by experimental research (Seitl, Miarka, Malíková, & Krejsa, 2017).…”

Section: Introductionmentioning

confidence: 99%

Stochastic modelling of fatigue crack growth

Omishore

2019

Modern Building Materials, Structures and Techniques (MBMST)

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The article deals with the influence of the skewness of quasi-constant stress range on the fatigue resistance of a steel bridge member subjected to multiple repeated loading. It is shown that it is necessary to know the statistical characteristics and type of probability density function relatively accurately in the case of quasi-constant stress range, otherwise the estimation of the fatigue resistance may be inaccurate. The fatigue resistance is studied using linear fracture mechanics. The random characteristics of the steel member are simulated using the Latin Hypercube Sampling method. The results of experimental research on calibration functions used in linear fracture mechanics are applied in this study. The calibration function for pure bending, which is presented on an extended domain of relative crack length, is applied. Non-parametric rank-order correlation identifies a strong influence of the quasi-constant stress range on the fatigue resistance. A detailed comparison of three variants of fatigue resistance as output random variables is performed. The results show that the probabilistic assessment of reliability may be burdened with greater or lesser epistemic uncertainty, which can distort the estimates of the remaining service life of the load bearing bridge member.

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Geometrically Non-Linear Finite Element Reliability Analysis of Steel Plane Frames With Initial Imperfections / Plieninių Rėmų Su Defektais Geometriškai Netiesinė Baigtinių Elementų Patikimumo Analizė

Cited by 52 publications

References 39 publications

Reliability Analysis of the Lateral Torsional Buckling Resistance and the Ultimate Limit State of Steel Beams With Random Imperfections

Reliability Analysis of the Lateral Torsional Buckling Resistance and the Ultimate Limit State of Steel Beams With Random Imperfections

The influence of correlation between initial axis curvature and cross-section rotation on the beam static resistance

Stochastic modelling of fatigue crack growth

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