## Details

Originalsprache | Englisch |
---|---|

Seiten (von - bis) | 1419–1436 |

Seitenumfang | 18 |

Fachzeitschrift | Acta mechanica |

Jahrgang | 235 |

Ausgabenummer | 3 |

Frühes Online-Datum | 9 Feb. 2023 |

Publikationsstatus | Veröffentlicht - März 2024 |

## Abstract

The scope of this paper is to apply a model-correction-based strategy for efficient reliability analysis of uncertain dynamical systems based on a low-fidelity (LF) model whose outcomes are corrected in a probabilistic sense to represent the more realistic outcomes of a high-fidelity (HF) model. In the model-correction approach utilized, the LF model is calibrated to the HF model close to the so-called most probable point in standard normal space, which allows a more realistic assessment of the considered complex dynamical system. Since only few expensive limit state function evaluations of the HF model are required, an efficient reliability analysis is enabled. In an application example, the LF model describes an existing single-span railway bridge modelled as simply supported Euler–Bernoulli beam subjected to moving single forces representing the axle loads of a moving train. The HF modelling approach accounts for the bridge–train interaction by modelling the passing train as mass-spring-damper system, however increasing the computational effort of the limit state function evaluations. Failure probabilities evaluated with the model-correction approach are contrasted and discussed with failure probabilities of the sophisticated bridge–train interaction model evaluated with the first-order reliability method (FORM). It is demonstrated that the efficiency of the method depends on the correlation between the LF and the HF model. A comparison of the results of FORM and the model-correction-based approach shows that the latter provides reliable failure probability prediction of the HF model while leading to a significant reduction in computational effort.

## ASJC Scopus Sachgebiete

- Ingenieurwesen (insg.)
**Numerische Mechanik**- Ingenieurwesen (insg.)
**Maschinenbau**

## Zitieren

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**Efficient model-correction-based reliability analysis of uncertain dynamical systems.**/ Hirzinger, Benjamin; Nackenhorst, Udo.

in: Acta mechanica, Jahrgang 235, Nr. 3, 03.2024, S. 1419–1436.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

*Acta mechanica*, Jg. 235, Nr. 3, S. 1419–1436. https://doi.org/10.1007/s00707-023-03499-1

*Acta mechanica*,

*235*(3), 1419–1436. https://doi.org/10.1007/s00707-023-03499-1

}

TY - JOUR

T1 - Efficient model-correction-based reliability analysis of uncertain dynamical systems

AU - Hirzinger, Benjamin

AU - Nackenhorst, Udo

N1 - Funding Information: Funding of the International Research Training Group (IRTG) 2657 by DFG is gratefully acknowledged (Grant Reference Number 433082294)

PY - 2024/3

Y1 - 2024/3

N2 - The scope of this paper is to apply a model-correction-based strategy for efficient reliability analysis of uncertain dynamical systems based on a low-fidelity (LF) model whose outcomes are corrected in a probabilistic sense to represent the more realistic outcomes of a high-fidelity (HF) model. In the model-correction approach utilized, the LF model is calibrated to the HF model close to the so-called most probable point in standard normal space, which allows a more realistic assessment of the considered complex dynamical system. Since only few expensive limit state function evaluations of the HF model are required, an efficient reliability analysis is enabled. In an application example, the LF model describes an existing single-span railway bridge modelled as simply supported Euler–Bernoulli beam subjected to moving single forces representing the axle loads of a moving train. The HF modelling approach accounts for the bridge–train interaction by modelling the passing train as mass-spring-damper system, however increasing the computational effort of the limit state function evaluations. Failure probabilities evaluated with the model-correction approach are contrasted and discussed with failure probabilities of the sophisticated bridge–train interaction model evaluated with the first-order reliability method (FORM). It is demonstrated that the efficiency of the method depends on the correlation between the LF and the HF model. A comparison of the results of FORM and the model-correction-based approach shows that the latter provides reliable failure probability prediction of the HF model while leading to a significant reduction in computational effort.

AB - The scope of this paper is to apply a model-correction-based strategy for efficient reliability analysis of uncertain dynamical systems based on a low-fidelity (LF) model whose outcomes are corrected in a probabilistic sense to represent the more realistic outcomes of a high-fidelity (HF) model. In the model-correction approach utilized, the LF model is calibrated to the HF model close to the so-called most probable point in standard normal space, which allows a more realistic assessment of the considered complex dynamical system. Since only few expensive limit state function evaluations of the HF model are required, an efficient reliability analysis is enabled. In an application example, the LF model describes an existing single-span railway bridge modelled as simply supported Euler–Bernoulli beam subjected to moving single forces representing the axle loads of a moving train. The HF modelling approach accounts for the bridge–train interaction by modelling the passing train as mass-spring-damper system, however increasing the computational effort of the limit state function evaluations. Failure probabilities evaluated with the model-correction approach are contrasted and discussed with failure probabilities of the sophisticated bridge–train interaction model evaluated with the first-order reliability method (FORM). It is demonstrated that the efficiency of the method depends on the correlation between the LF and the HF model. A comparison of the results of FORM and the model-correction-based approach shows that the latter provides reliable failure probability prediction of the HF model while leading to a significant reduction in computational effort.

UR - http://www.scopus.com/inward/record.url?scp=85147745362&partnerID=8YFLogxK

U2 - 10.1007/s00707-023-03499-1

DO - 10.1007/s00707-023-03499-1

M3 - Article

AN - SCOPUS:85147745362

VL - 235

SP - 1419

EP - 1436

JO - Acta mechanica

JF - Acta mechanica

SN - 0001-5970

IS - 3

ER -