Project detail

Probability oriented global sensitivity measures of structural reliability

Duration: 01.01.2020 — 31.12.2022

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder (2020-01-01 - 2022-12-31)

On the project

Běžné typy citlivostních analýz měří vlivy vstupních veličin na proměnlivost modelového výstupu bez přímé souvislosti k pravděpodobnosti poruchy nebo návrhovým kvantilům modelových výstupů. Tento grant je zaměřený na výzkum nových metod globální citlivostní analýzy, které jsou přímo orientované na konstrukční spolehlivost a nelineární stavební mechaniku. Vzájemně srovnatelné indexy citlivosti budou formulovány s požadavkem, aby indexy citlivosti orientované na pravděpodobnost a kvantily vytvářely páry založené na stejném teoretickém základě. Hlavním předmětem zájmu budou mezní stavy a pravděpodobnostní hodnocení odolnosti štíhlých ocelových konstrukcí se silnými interakčními efekty mezi počátečními imperfekcemi. Vlivy počátečních imperfekcí a jejich vzájemných interakcí na pravděpodobnostní hodnocení konstrukční spolehlivosti budou analyzovány pomocí nelineárních modelů konečných prvků. Budou navrženy počítačové algoritmy pro efektivní snížení nákladů na výpočet globálních indexů citlivosti.

Description in English
Common types of sensitivity analysis measure the influence of input variables on the variability of model output without a direct relationship to the failure probability or design quantile of the model outputs. This grant is aimed at the research of new methods of global sensitivity analysis that are directly oriented to structural reliability and non-linear structural mechanics. Mutually comparable sensitivity indices will be formulated with the requirement that probability-oriented and quantile-oriented sensitivity indices form pairs based on the same theoretical basis. The main subject of interest will be limit states and the probabilistic evaluation of the stability resistance of slender steel structures with strong interactions effects between initial imperfections. The effects of initial imperfections and their mutual interactions on the probability assesment of structural reliability will be analysed using non-linear finite element models. Computer algorithms aimed at effectively reducing the computati

Keywords
globální citlivostní analýza;spolehlivost;mechanika;ocel;porucha;konstrukce;stabilita;vzpěr;imperfekce;MKP;modelování;

Key words in English
global sensitivity analysis;reliability;mechanics;steel;failure;structure;stability;buckling;imperfection;FEM; modeling;

Mark

20-01734S

Default language

Czech

People responsible

Kala Jiří, prof. Ing., Ph.D. - fellow researcher
Lehký David, prof. Ing., Ph.D. - fellow researcher
Novák Drahomír, prof. Ing., DrSc. - fellow researcher
Omishore Abayomi, Ing., Ph.D. - fellow researcher
Kala Zdeněk, prof. Ing., Ph.D. - principal person responsible

Units

Institute of Structural Mechanics
- beneficiary (2020-03-01 - not assigned)

Results

NOVÁK, L.; NOVÁK, D. Distribution-Based Global Sensitivity Analysis By Polynomial Chaos Expansion. In ENGINEERING MECHANICS 2018 PROCEEDINGS, VOL 26. Praha: Institute of Theretical and Applied Mechanics of the Czech Academy of Sciences, 2020. p. 380-383. ISBN: 978-80-214-5896-3.
Detail

OMISHORE, A. Sensitivity analysis of limit states in civil engineering: From model outputs to reliability assessment. In World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium - WMCAUS 2022. AIP Conference Proceedings. AIP Publishing, 2023. p. 150006-1 (150006-8 p.)ISSN: 1551-7616.
Detail

KALA, Z. Sensitivity analysis in probabilistic structural design: A comparison of selected techniques. Sustainability, 2020, vol. 12, no. 11, p. 1-19. ISSN: 2071-1050.
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KALA, Z. Limit states of structures and global sensitivity analysis based on Cramér-von Mises distance. International Journal of Mechanics, 2020, vol. 14, no. 1, p. 107-118. ISSN: 1998-4448.
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KALA, Z. New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability. Mathematics, 2021, vol. 9, no. 19, p. 1-20. ISSN: 2227-7390.
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KALA, Z. Global Sensitivity Analysis Based on Entropy: From Differential Entropy to Alternative Measures. ENTROPY, 2021, vol. 23, no. 6, p. 1-16. ISSN: 1099-4300.
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KALA, Z. Global Sensitivity Analysis of Quantiles: New Importance Measure Based on Superquantiles and Subquantiles. Symmetry, 2021, vol. 13, no. 2, p. 1-21. ISSN: 2073-8994.
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NOVÁK, D.; LEHKÝ, D.; SLOWIK, O. Simulation-based sensitivity analysis: Methods and software tools. In Proceedings of the 33rd European Modeling & Simulation Symposium. CAL-TEK, 2021. p. 158-164. ISBN: 978-88-85741-57-7.
Detail

NOVÁK, L. On distribution-based global sensitivity analysis by polynomial chaos expansion. COMPUTERS & STRUCTURES, 2022, vol. 267, no. 1, p. 1-14. ISSN: 0045-7949.
Detail

LEHKÝ, D.; ŠOMODÍKOVÁ, M.; LIPOWCZAN, M. A utilization of the inverse response surface method for the reliability-based design of structures. NEURAL COMPUTING & APPLICATIONS, 2022, vol. 34, no. 15, p. 12845-12859. ISSN: 0941-0643.
Detail

NOVÁK, L.; KALA, Z.; NOVÁK, D. On the possibility of the utilizing polynomial chaos expansion for reliability-oriented sensitivity analysis. In AIP Conference Proceedings. AIP conference proceedings. New York, USA: American Institute of Physics Inc., 2022. p. 1-4. ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
Detail

JINDRA, D.; KALA, Z.; KALA, J. Reliability and Sensitivity Analysis of Slender Steel Members Utilizing Nonlinear Finite Element Analyses. In WORLD MULTIDISCIPLINARY CIVIL ENGINEERING-ARCHITECTURE-URBAN PLANNING SYMPOSIUM WMCAUS 2022. AIP conference proceedings. 2023. p. 150022-1 (150022-11 p.)ISSN: 0094-243X.
Detail

LAMPEROVÁ, K.; LEHKÝ, D.; SLOWIK, O. Structural damage identification using optimization-based FE model updating. In Proceedings of The Eighth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2022). South Africa: CRC Press, 2022. p. 1844-1850. ISBN: 978-1-003-34844-3.
Detail

KALA, Z. Quantification of Model Uncertainty Based on Variance and Entropy of Bernoulli Distribution. Mathematics, 2022, vol. 10, no. 21, p. 1-19. ISSN: 2227-7390.
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KALA, Z.; OMISHORE, A. Reliability and sensitivity analyses of structures related to Eurocodes. International Journal of Mechanics, 2022, vol. 16, no. 1, p. 98-107. ISSN: 1998-4448.
Detail

NOVÁK, L.; LEHKÝ, D.; NOVÁK, D. Sensitivity analysis of Engineering Structures Utilizing Artificial Neural Networks and Polynomial Chaos Expansion. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Germany: Springer Science and Business Media Deutschland GmbH, 2023. p. 1-15. ISBN: 9783031255984.
Detail

KALA, J.; KALA, Z.; JINDRA, D. SENSITIVITY STUDY OF THE STEEL FOOTBRIDGE RESPONSE TO THE DAMPER PARAMETERS. In World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium - WMCAUS 2022. AIP conference proceedings. AIP Publishing, 2023. p. 150039-1 (150039-6 p.)ISBN: 9780735446632. ISSN: 0094-243X.
Detail

KALA, Z.; KALA, J.; OMISHORE, A. Global Sensitivity Analysis of Steel Beam Resistance using Finite Element Simulations. In World Multidisciplinary Civil Engineering-Architecture-Urban Planning Symposium, WMCAUS 2022. AIP conference proceedings. 2023. p. 080017-1 (080017-6 p.)ISSN: 0094-243X.
Detail

KALA, Z. Quantile-based versus Sobol sensitivity analysis in limit state design. Structures, 2020, vol. 28, no. December 2020, p. 2424-2430. ISSN: 2352-0124.
Detail