PSI - Issue 64

ScienceDirect Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000–000 Available online at www.sciencedirect.com Procedia Structural Integrity 64 (2024) 716–723

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SMAR 2024 – 7th International Conference on Smart Monitoring, Assessment and Rehabilitation of Civil Structures Wavelet analysis to detect nonstationary and nonlinear behaviours in railway bridge Claude Rospars b *, Pierre Argoul c,a , Raphaël Carpine a+ , SMAR 2024 – 7th International Conference on Smart Monitoring, Assessment and Rehabilitation of Civil Structures Wavelet analysis to detect nonstationary and nonlinear behaviours in railway bridge Claude Rospars b *, Pierre Argoul c,a , Raphaël Carpine a+ , a Univ Gustave Eiffel, MAST-EMGCU, F-77454 Marne-la-Vallée, France b Univ Gustave Eiffel, COSYS-IMSE, F-77454 Marne-la-Vallée, France c Univ Gustave Eiffel, Ecole des Ponts, LVMT, F-77454 Marne-la-Vallée, France Abstract This paper demonstrates the potential of using the Continuous Wavelet Transform (CWT) for modal identification of an existing bridge. The dynamic response of a railway bridge crossed by high speed trains is investigated. First, the theoretical dynamic response of the bridge is studied and found to have a very distinctive shape due to the periodic spacing of the train axles. A CWT-based procedure is then proposed for processing the global signal, with emphasis on the choice of wavelet function. An application is given using experimental accelerometer data collected during the crossing of a high-speed train on the bridge. In a first step, the signal has been properly partitioned since it is composed of different time intervals containing specific modal information (in particular, bridge + train and bridge alone when the train has left the bridge). The dynamic response of the "bridge + train" system was found to have a very distinct non-stationary shape. The modal parameters of the bridge were then successfully calculated and non-linearities in the system behaviour were detected. It illustrates the ability of CWT to detect and characterise non-linear behaviour. Keywords: Structural Health Monoitoring; Prestressed Concrete; Bridge; Wavelet analysis 1. Introduction The subject of this research is Structural Health Monitoring (SHM) using advanced modal analysis. SHM has become an important field of research in the last three decades, and the use of modal analysis in SHM, especially © 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SMAR 2024 Organizers a Univ Gustave Eiffel, MAST-EMGCU, F-77454 Marne-la-Vallée, France b Univ Gustave Eiffel, COSYS-IMSE, F-77454 Marne-la-Vallée, France c Univ Gustave Eiffel, Ecole des Ponts, LVMT, F-77454 Marne-la-Vallée, France Abstract This paper demonstrates the potential of using the Continuous Wavelet Transform (CWT) for modal identification of an existing bridge. The dynamic response of a railway bridge crossed by high speed trains is investigated. First, the theoretical dynamic response of the bridge is studied and found to have a very distinctive shape due to the periodic spacing of the train axles. A CWT-based procedure is then proposed for processing the global signal, with emphasis on the choice of wavelet function. An application is given using experimental accelerometer data collected during the crossing of a high-speed train on the bridge. In a first step, the signal has been properly partitioned since it is composed of different time intervals containing specific modal information (in particular, bridge + train and bridge alone when the train has left the bridge). The dynamic response of the "bridge + train" system was found to have a very distinct non-stationary shape. The modal parameters of the bridge were then successfully calculated and non-linearities in the system behaviour were detected. It illustrates the ability of CWT to detect and characterise non-linear behaviour. Keywords: Structural Health Monoitoring; Prestressed Concrete; Bridge; Wavelet analysis 1. Introduction The subject of this research is Structural Health Monitoring (SHM) using advanced modal analysis. SHM has become an important field of research in the last three decades, and the use of modal analysis in SHM, especially

* Corresponding author. Tel.: +331 , + Former PhD student. E-mail address: claude.rospars@univ-eiffel.fr

2452-3216 B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SMAR 2024 Organizers B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SMAR 2024 Organizers © 2024 The Authors. Published by ELSEVIER * Corresponding author. Tel.: +331 , + Former PhD student. E-mail address: claude.rospars@univ-eiffel.fr 2452-3216 © 2024 The Authors. Published by ELSEVIER

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of SMAR 2024 Organizers 10.1016/j.prostr.2024.09.335