Version 1
: Received: 3 June 2024 / Approved: 4 June 2024 / Online: 4 June 2024 (15:26:22 CEST)
How to cite:
Kamiński, M.; Guminiak, M.; Knitter-Piątkowska, A.; Kawa, O. Wavelet-Based Stochastic Finite Element Analysis of Steel Girders. Preprints2024, 2024060193. https://doi.org/10.20944/preprints202406.0193.v1
Kamiński, M.; Guminiak, M.; Knitter-Piątkowska, A.; Kawa, O. Wavelet-Based Stochastic Finite Element Analysis of Steel Girders. Preprints 2024, 2024060193. https://doi.org/10.20944/preprints202406.0193.v1
Kamiński, M.; Guminiak, M.; Knitter-Piątkowska, A.; Kawa, O. Wavelet-Based Stochastic Finite Element Analysis of Steel Girders. Preprints2024, 2024060193. https://doi.org/10.20944/preprints202406.0193.v1
APA Style
Kamiński, M., Guminiak, M., Knitter-Piątkowska, A., & Kawa, O. (2024). Wavelet-Based Stochastic Finite Element Analysis of Steel Girders. Preprints. https://doi.org/10.20944/preprints202406.0193.v1
Chicago/Turabian Style
Kamiński, M., Anna Knitter-Piątkowska and Olga Kawa. 2024 "Wavelet-Based Stochastic Finite Element Analysis of Steel Girders" Preprints. https://doi.org/10.20944/preprints202406.0193.v1
Abstract
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.
Engineering, Architecture, Building and Construction
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
