Publication detail

Uncertainty Quantification of Existing Bridge using Polynomial Chaos Expansion

KŘÍŽEK, M. NOVÁK, L.

Original Title

Uncertainty Quantification of Existing Bridge using Polynomial Chaos Expansion

Type

journal article - other

Language

English

Original Abstract

This paper is focused on uncertainty quantification (UQ) of an existing bridge structure represented by non-linear finite element model (NLFEM). The 3D model was created according to the original drawings and recent inspections of the bridge. In order to reflect the realistic mechanical behavior, the mathematical model is based on non-linear fracture mechanics and the calculation consists of the three construction stages. The single calculation of the NLFEM is very costly and thus even the elementary task of stochastic analysis – the propagation of uncertainties through a mathematical model – is not feasible by Monte Carlotype approach. Thus, UQ is performed via efficient surrogate modeling technique – Polynomial Chaos Expansion (PCE). PCE is a well-known technique for approximation of the costly mathematical models with random inputs, reflecting their distributions and offering fast and accurate post-processing including statistical and sensitivity analysis. Once the PCE was constructed, it was possible to analyze all quantities of interest (QoIs) and analytically estimate Sobol indices as well as the first four statistical moments. Sobol indices directly measure the influence of the input variability to a variability of QoIs. Statistical moments were used for reconstruction of the probability distributions of QoIs, which will be further used for semi-probabilistic assessment. Moreover, once the PCE is available it could be possible to use it for further standard probabilistic or reliability analysis as a computationally efficient approximation of the original mathematical model

Keywords

Uncertainty quantification; polynomial chaos expansion; statistical analysis

Authors

KŘÍŽEK, M.; NOVÁK, L.

Released

31. 12. 2023

Publisher

VSB - Technical University of Ostrava

Location

Ostrava, Czech Republic

ISBN

1804-4824

Periodical

Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series

Year of study

23

Number

2

State

Czech Republic

Pages from

13

Pages to

19

Pages count

7

URL

http://tces.vsb.cz/Home/

BibTex

@article{BUT187086,
  author="Michael {Křížek} and Lukáš {Novák}",
  title="Uncertainty Quantification of Existing Bridge using Polynomial Chaos Expansion",
  journal="Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series",
  year="2023",
  volume="23",
  number="2",
  pages="13--19",
  issn="1804-4824",
  url="http://tces.vsb.cz/Home/"
}