Stochastic modelling and assessment of long-span precast prestressed concrete elements failing in shear

2022

APP

Self Cite

The paper is focused on assessment of existing prestressed concrete bridge by simplified methods for estimation of coefficient of variation. The bridge was selected in the framework of the European Project INTERREG AUSTRIA-CZECH REPUBLIC "ATCZ190 SAFEBRIDGE" focused on advanced numerical analysis of existing bridges represented by non-linear finite element model. The key ingredient in semi-probabilistic design and assessment of structures is an estimation of coefficient of variation (ECoV). Recently, correlation interval approach together with novel Eigen ECoV were proposed by authors of this paper and theoretically proved to be an efficient and accurate alternative to existing methods. This contribution is focused on practical application of Eigen ECoV on real example solved by NLFEM and its comparison with other existing simplified methods.

Section: Discussion and Further Researchsupporting

confidence: 69%

Semi-probabilistic assessment of existing bridge using simplified methods for estimation of variance

2022

APP

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“…It is clear that sensitivity analysis plays important role in the probabilistic analysis of structures, however, it is important to understand obtained information from different types of sensitivity analysis [7]. Moreover, correlation among material characteristics may have a significant influence on obtained results [16] and thus further work will be focused on analysis assuming realistic correlation matrix of concrete material parameters similarly as in previous work of authors of this paper [17,18]. Although Q 2 > 0.9 for all limit states, it should be improved in further work in order to obtain more reliable results, especially for sensitivity analysis.…”

Section: Discussion and Further Researchmentioning

confidence: 87%

Probabilistic assessment and sensitivity analysis of existing concrete bridge via surrogate modeling

Novák²

2022

APP

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The paper is focused on probabilistic assessment and sensitivity analysis of existing prestressed concrete bridge using surrogate model in form of Polynomial Chaos Expansion (PCE). The bridge was selected in the framework of the European Project INTERREG AUSTRIA-CZECH REPUBLIC "TCZ190 SAFEBRIDGE" focused on advanced numerical analysis of existing bridges represented by non-linear finite element model. In this study, surrogate model in form of PCE was created, which represents very efficient type of surrogate model. One of significant advantages of PCE is powerful post-processing including sensitivity and moment analysis of the response, which is important part of probabilistic analysis. The obtained numerical results of advanced stochastic analysis consisting of uncertainty quantification and sensitivity analysis of the existing bridge structure are presented in the paper.

“…The last case solved by LHS represents a realistic correlation matrix inferred from experiments. 2 However, this information is commonly unavailable, and thus not reflected in industrial applications. The realistic correlation matrix according to Slowik et al 2 prescribes high positive Spearman correlation coefficients only among concrete parameters as can be seen in Table 5.…”

Section: Methodology For Numerical Comparison Of Ecov Methodsmentioning

confidence: 99%

“…Note that PSF leads to a very accurate estimation of design resistance, though it is not typical in the case of shear failure. [2][3][4] 4 | DISCUSSION…”

Section: Experimental Program By Anderson and Ramirezmentioning

confidence: 99%

“…The design value of resistance is obtained by one calculation of the computational structural model using the design values of basic variables. While this approach performs well and is fully justified for linear computational models, its use for nonlinear models is questionable and can lead to an overconservative design resistance 2,3 or may even fail. 4 In contrast, it is well known that the probabilistic analysis in combination with a non-linear finite element analysis offers a significant added value over the standard linear analysis and semi-probabilistic approach implemented in Eurocodes, 5 and researchers are highly motivated to develop novel techniques coupling the accuracy of the non-linear finite element analysis (NLFEA) with a realistic description of the basic variables by probabilistic modeling.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comparison of advanced semi‐probabilistic methods for design and assessment of concrete structures

Červenka

et al. 2022

Structural Concrete

Self Cite

This paper presents the comparison of advanced semi‐probabilistic methods for the design and assessment of concrete structures represented by mathematical models solved by non‐linear finite element methods. The special attention is given to the advanced methods focused on the estimation of the coefficient of variation of structural resistance. Numerical examples represent a replication of laboratory experiments of beams with different failure modes. The obtained results are discussed with respect to the accuracy of the employed methods and the influence of the assumed statistical correlation among basic variables. Simplified methods give a good estimation of the design values, though their accuracy is dependent on the type of the failure mechanism. Moreover, it is shown that mutual correlations among random variables may significantly affect the design value of resistance, and they should be carefully defined and modeled.