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Title

Wavelet-Based Stochastic Finite Element Analysis of Steel Girders

Authors

[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering, geodesy and transport

Year of publication

2024

Document type

article

Publication language

english

Keywords
EN
  • steel girders
  • stochastic finite element method
  • damage detection
  • discrete wavelet transform
Abstract

EN The paper presents the problem of damage detection in steel girders. Static displacements at the selected point of the structure play the role of measured variables. Structural response signal decomposition is performed according to the Mallat pyramid algorithm, which is used to perform the discrete wavelet transform (DWT). This procedure allows us to quite well determine the location of structural damage. The geometry and the placement of any defective part of the structure may have a random character. It can be assumed that the random processes occurring in the broadly understood structure mechanics are Gaussian in nature. The first four probabilistic moments are estimated using three approaches independent: semi-analytical (SAM), perturbative (SPT), and Monte-Carlo simulations (MCS). The semi-analytical random approach seems to be the most optimal due to the necessary computation time. The incorporation of the mathematical stochastic apparatus into the classical (deterministic) analysis of the statics of the structure makes it possible to estimate the reliability measures of the analyzed girder.

DOI

10.20944/preprints202406.0193.v1

URL

https://www.preprints.org/manuscript/202406.0193/v1

Source name

Preprints.org

Date of publication

2024

License type

CC BY (attribution alone)

Open Access Mode

open repository

Open Access Text Version

final author's version

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