New method for metal beams sensitive to lateral torsional buckling with an equivalent geometrical UGLI imperfection

Agüero, Antonio; Baláž, Ivan; Koleková, Yvona

doi:10.1016/j.istruc.2020.11.047

Cited by 6 publications

(10 citation statements)

References 14 publications

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“…Papp [5] (und in anderer Form auch Agüero et al [14]) erweiterten den Ansatz als OIM für Biegetorsionsprobleme bei Momentenbeanspruchung. Er formulierte die vollständigen Amplituden v 0d und φ 0d der Anfangsimperfektionen (Gln.…”

Section: Die Vollständige Imperfektionsmethode (Oim)unclassified

Eigenformbasierte Imperfektionsmethode für Tragwerke mit monosymmetrischen I‐Profilen

Hajdú

Rubert²

2021

Stahlbau

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Die Grundlagen und Anwendungen der Overall Imperfection Method (OIM) (Vollständige Imperfektionsmethode) für normalkraft‐ und/oder biegebeanspruchte Tragwerke werden erstmals für einfachsymmetrische I‐Querschnitte vorgestellt. Im Gegensatz zum Biegeknickversagen normalkraftbeanspruchter Stützen mit doppeltsymmetrischem Querschnitt stellt sich bei einfachsymmetrischen Querschnitten Biegetorsionsversagen ein. Die zusätzlich zur Biegeverformung gekoppelt auftretende Rotation des Querschnitts um die Schubmittelpunktsachse ist deshalb beim Ansatz der Vorverformung der Imperfektionsmethode ebenfalls zu berücksichtigen. Auch das Biegedrillknicken biegebeanspruchter Träger verhält sich bei einfachsymmetrischen Querschnitten wegen des Abstands zwischen Schwer‐ und Schubmittelpunkt anders. Dieser Aufsatz zeigt erstmals auch die dazu notwendigen Erweiterungen sowie die automatische Ermittlung der eigenformbasierten Amplituden der vollständigen Anfangsimperfektion und drei Anwendungsbeispiele.

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Section: Die Vollständige Imperfektionsmethode (Oim)unclassified

Eigenformbasierte Imperfektionsmethode für Tragwerke mit monosymmetrischen I‐Profilen

Hajdú

Rubert²

2021

Stahlbau

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“…It can be noted that e 0 is the amplitude of pure geometrical imperfection with an idealized shape according to the elastic critical buckling mode [83]. Amplitude e 0 is not an equivalent geometrical imperfection [84][85][86], which would replace the influence of other imperfections, such as the residual stress. In Equation 20, the influence of residual stress is neglected.…”

Section: Resistance Of Steel Member Under Compressionmentioning

confidence: 99%

Global Sensitivity Analysis of Quantiles: New Importance Measure Based on Superquantiles and Subquantiles

Kala

2021

Symmetry

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The article introduces quantile deviation l as a new sensitivity measure based on the difference between superquantile and subquantile. New global sensitivity indices based on the square of l are presented. The proposed sensitivity indices are compared with quantile-oriented sensitivity indices subordinated to contrasts and classical Sobol sensitivity indices. The comparison is performed in a case study using a non-linear mathematical function, the output of which represents the elastic resistance of a slender steel member under compression. The steel member has random imperfections that reduce its load-carrying capacity. The member length is a deterministic parameter that significantly changes the sensitivity of the output resistance to the random effects of input imperfections. The comparison of the results of three types of global sensitivity analyses shows the rationality of the new quantile-oriented sensitivity indices, which have good properties similar to classical Sobol indices. Sensitivity indices subordinated to contrasts are the least comprehensible because they exhibit the strongest interaction effects between inputs. However, using total indices, all three types of sensitivity analyses lead to approximately the same conclusions. The similarity of the results of two quantile-oriented and Sobol sensitivity analysis confirms that Sobol sensitivity analysis is empathetic to the structural reliability and that the variance is one of the important characteristics significantly influencing the low quantile of resistance.

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“…It should be noted that both global and local imperfections should not be considered simultaneously in two directions. Alternatively, to discrete frame and member imperfections, a unique initial imperfection in the shape of the critical buckling mode of the frame may be used as firstly proposed by [8] and has been further developed in [9].…”

Section: Modelling-analysis-verificationmentioning

confidence: 99%

EC3-Compatible Methods for Analysis and Design of Steel Framed Structures

2021

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The behaviour of steel structures is affected by two nonlinearities—the geometric and material nonlinearity—and by the unavoidable presence of imperfections. To evaluate the ultimate capacity of a structure, these effects should be taken into consideration during the design process, either explicitly in the analysis or implicitly through the verification checks. In this context, Eurocode 3 provides several design approaches of different complexity and accuracy. The advantages and disadvantages of these approaches are discussed. Five different methods in conformity with the Eurocode provisions are applied for the design of four moment resisting steel frames of varying slenderness. The influence of nonlinearities and imperfections in respect to the slenderness of the structure is illustrated. The examined methods are compared in terms of the predicted ultimate capacity and their efficiency is assessed against the most accurate between them, i.e., an advanced geometrically and materially nonlinear analysis. It is shown that considerable differences arise between the methods. Nevertheless, except for the commonly used 2nd order analysis followed by cross-section verifications, the remaining methods are mostly on the safe side.

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New method for metal beams sensitive to lateral torsional buckling with an equivalent geometrical UGLI imperfection

Cited by 6 publications

References 14 publications

Eigenformbasierte Imperfektionsmethode für Tragwerke mit monosymmetrischen I‐Profilen

Eigenformbasierte Imperfektionsmethode für Tragwerke mit monosymmetrischen I‐Profilen

Global Sensitivity Analysis of Quantiles: New Importance Measure Based on Superquantiles and Subquantiles

EC3-Compatible Methods for Analysis and Design of Steel Framed Structures

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