An inherent part of structural mechanics are computer simulations with computational models, where the model output is a complex function of its inputs. The interaction of two, three or more input variables can have a much greater effect on the model output than the sum of the effects of the inputs acting alone. Interaction effects can strongly influence the frequency of rare failure events from such combinations of random realizations of input variables that are important in the assessment of reliability. The main output of the project will be the development of new sensitivity methods aimed mainly at the quantification of interaction effects influencing both the model output and the frequency of rare failure events quantified by probabilistic analysis of the model output. The project focuses on the sensitivity analysis of uncertainty propagation through advanced computational models from inputs to model outputs to reliability assessments. The research will include case studies based on nonlinear computational models of stochastic structural mechanics.

Keywords
sensitivity analysis;decision making;importance measures;uncertainties;structures;structural mechanics;reliability;finite element method;optimisation

23-04712S

English

Kala Zdeněk, prof. Ing., Ph.D. - principal person responsible

Institute of Structural Mechanics
- responsible department (27.3.2022 - not assigned)
Institute of Structural Mechanics
- beneficiary (27.3.2022 - 31.12.2025)

KALA, Z. Global Sensitivity Analysis and Surrogate Models for Evaluation of Limit States in Steel Truss Structures. International Journal of Mechanics, 2024, vol. 18, no. 1, p. 27-35. ISSN: 1998-4448.
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NOVÁK, L.; VALDEBENITO, M.; FAES, M. On fractional moment estimation from polynomial chaos expansion. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2025, vol. 254, no. February, ISSN: 0951-8320.
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JINDRA, D.; KALA, Z.; KALA, J. Probabilistically modelled geometrical imperfections for reliability analysis of vertically loaded steel frames. JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH, 2024, vol. 217, no. 06.2024, p. 1-15. ISSN: 1873-5983.
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ŠPLÍCHAL, B., LEHKÝ, D., LAMPEROVÁ, K. Damage detection of riveted truss bridge using ANN-aided AMS optimization method. In Bridge Maintenance, Safety, Management, Digitalization and Sustainability. 1st Edition. London: CRC Press, 2024. p. 2279-2286. ISBN: 9781003483755.
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NOVÁK, L.; SHARMA,H.; SHIELDS, M. Physics-informed polynomial chaos expansions. Journal of Computational Physics, 2024, vol. 506, no. 1, ISSN: 1090-2716.
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KALA, Z. Steel Plane Frames: Entropy and Potential Energy of Elastic Buckling Modes. In Conference Proceedings - Modern Building Materials, Structures and Techniques MBMST 2023. Lecture Notes in Civil Engineering. Switzerland: Springer Cham (Spronger Nature Switzerland AG), 2023. p. 164-173. ISBN: 9783031446030. ISSN: 2366-2557.
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KALA, Z. Modelling Initial Geometric Imperfections of Steel Plane Frames using Entropy and Eigenmodes. International Journal of Mechanics, 2023, vol. 17, no. 1, p. 64-73. ISSN: 1998-4448.
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KALA, Z. Strain Energy and Entropy Based Scaling of Buckling Modes. ENTROPY, 2023, vol. 25, no. 12, p. 1-17. ISSN: 1099-4300.
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JINDRA, D.; KALA, Z.; KALA, J. Two Stochastic Methods to Model Initial Geometrical Imperfections of Steel Frame Structures. Buildings, 2024, vol. 14, no. 1, p. 1-16. ISSN: 2075-5309.
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JINDRA, D.; KALA, Z.; KALA, J. Ultimate Load Capacity of Multi-Story Steel Frame Structures with Geometrical Imperfections: A Comparative Study of Two Methods. In Lecture Notes in Civil Engineering. volume 392. Springer Cham, 2023. p. 154-163. ISBN: 978-3-031-44603-0.
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NOVÁK, L.; SHARMA, H.; SHIELDS, M. ON PHYSICALLY CONSTRAINED NON-INTRUSIVE POLYNOMIAL CHAOS EXPANSION. In UNCECOMP 2023 Proceedings. Athens, Greece: National Technical University of Athens, 2023. p. 151-157. ISBN: 9786185827021.
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LEHKÝ, D., ŠPLÍCHAL, B., LAMPEROVÁ, K., SLOWIK, O. Inverse analysis and optimization-based model updating for structural damage detection. In EUROSTRUCT 2023 - European Association on Quality Control of Bridges and Structures: Digital Transformation in Sustainability. ce/papers. Berlin, Germany: Ernst & Sohn, 2023. p. 1228-1233. ISSN: 2509-7075.
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Responsibility: Kala Zdeněk, prof. Ing., Ph.D.