Quantile-based versus Sobol sensitivity analysis in limit state design

Kala, Zdeněk

doi:10.1016/j.istruc.2020.10.037

Cited by 16 publications

(13 citation statements)

References 42 publications

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“…The findings presented here correlate very well with the results of SA of a beam under bending exposed to lateral-torsional buckling, where contrast Q indices and Sobol indices identified very similar sensitivity rank of input random variables [78,80].…”

Section: Discussionsupporting

confidence: 83%

“…All three types of SA are based on double-nested-loop algorithms. Estimation of indices was software-based by implementing randomized Latin Hypercube Sampling-based Monte Carlo simulation (LHS) algorithms [92,93], which have been tuned for sensitivity assessments [78,80]. Using LHS runs, the outer loop is repeated 2000 times to estimate the arithmetic mean E(•) of the samples (l, l 2 or variance), which are estimated using an inner loop algorithm.…”

Section: Results Of Sensitivity Analysismentioning

confidence: 99%

“…The subject of interest for the two quantile-oriented SA is the 0.001-quantile θ* of R. The estimate l quantifies the population distribution around the 0.001-quantile θ*, where 0.001-quantile θ* is estimated as the 4000th smallest value in the set of four million LHS runs ordered from smallest to largest [78,80].…”

Section: Results Of Sensitivity Analysismentioning

confidence: 99%

“…A structure is considered to satisfy the ultimate limit state criterion if the random realization of the external load action is less than the low (design) quantile of load-carrying capacity R d . Standard [59] enables the determination of design value R d as 0.1 percentile [77][78][79][80][81].…”

Section: Resistance Of Steel Member Under Compressionmentioning

confidence: 99%

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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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Section: Discussionsupporting

confidence: 83%

Section: Results Of Sensitivity Analysismentioning

confidence: 99%

Section: Results Of Sensitivity Analysismentioning

confidence: 99%

Section: Resistance Of Steel Member Under Compressionmentioning

confidence: 99%

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

Kala

2021

Symmetry

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“…In future work, the initial imperfections will be considered as random variables. This will make it possible to study their influence on the ultimate limit state using stochastic sensitivity analysis [ 46 , 47 , 48 , 49 ], where the main influences and interaction effects between imperfections can be the subject of research.…”

Section: Discussionmentioning

confidence: 99%

Validation of Stainless-Steel CHS Columns Finite Element Models

Jindra

Kala

2021

Materials

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Stainless-steel elements are increasingly used in a wide range of load-bearing structures due to their strength, minimal maintenance requirements, and aesthetic appearance. Their response differs from standard steels; therefore, it is necessary to choose a different procedure when creating a correct computational model. Seven groups of numerical models differing in the used formulation of elements integration, mesh density localization, nonlinear material model, and initial geometric imperfection were calibrated. The results of these advanced simulations were validated with published results obtained by an extensive experimental approach on circular hollow sections columns. With regard to the different slenderness of the cross-sections, the influence of the initial imperfection in the form of global and local loss of stability on the response was studied. Responses of all models were validated by comparing the averaged normalized ultimate loads and the averaged normalized deflections with experimentally obtained results.

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Flexural buckling of stainless steel CHS columns: Reliability analysis utilizing FEM simulations

Jindra

Kala

2022

Journal of Constructional Steel Research

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Quantile-based versus Sobol sensitivity analysis in limit state design

Cited by 16 publications

References 42 publications

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

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

Validation of Stainless-Steel CHS Columns Finite Element Models

Flexural buckling of stainless steel CHS columns: Reliability analysis utilizing FEM simulations

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