A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping
Mode pairing is a crucial step for the stability of any model-updating strategy based on experimental modal parameters. Automatically establishing a stable and assertive correspondence between numerical and experimental modes, in many cases, proves to be a very challenging task, especially in situat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/1/350 |
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| author | Diogo Ribeiro Cássio Bragança Maik Brehm Volkmar Zabel Rui Calçada |
| author_facet | Diogo Ribeiro Cássio Bragança Maik Brehm Volkmar Zabel Rui Calçada |
| author_sort | Diogo Ribeiro |
| collection | DOAJ |
| description | Mode pairing is a crucial step for the stability of any model-updating strategy based on experimental modal parameters. Automatically establishing a stable and assertive correspondence between numerical and experimental modes, in many cases, proves to be a very challenging task, especially in situations where complex mode shapes are present. This article presents a novel formulation for the automatic mode pairing between experimental and numerical complex modes based on an Energy-based Modal Assurance Criterion (EMAC). The efficiency of the proposed criterion was demonstrated on the basis of a case study involving the pairing between numerical and experimental modes of a passenger railway vehicle. A highly complex detailed FE numerical model of the vehicle was developed involving the modeling of the carbody, bogies and axles. A numerical damped modal analysis allowed obtaining the main global rigid-body and flexural modes of the vehicle’s carbody, as well as several local modes associated to the vibration of specific components of the carbody. Due to the localized damping provided by the suspensions, these modes presented complex modal ordinates, especially for the rigid-body modes. The comparison between the results obtained from the application of the EMAC and the classical MAC criteria, on the pairing of five global mode shapes, proved that the EMAC criterion is much more assertive, avoiding mismatches between the experimental global modes and some of the local numerical modes with similar configurations, and, consequently, establishing the correct correspondences between experimental and numerical modes. |
| first_indexed | 2024-03-11T10:07:41Z |
| format | Article |
| id | doaj.art-3a939407540b4964beb82c9e406097c9 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T10:07:41Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-3a939407540b4964beb82c9e406097c92023-11-16T14:55:51ZengMDPI AGApplied Sciences2076-34172022-12-0113135010.3390/app13010350A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional DampingDiogo Ribeiro0Cássio Bragança1Maik Brehm2Volkmar Zabel3Rui Calçada4CONSTRUCT-LESE, School of Engineering, Polytechnic of Porto, 4249-015 Porto, PortugalDepartment of Structural Engineering, Federal University of Minas Gerais, Belo Horizonte 31270-901, BrazilMerkle CAE Solutions GmbH, 89518 Heidenheim, GermanyInstitute of Structural Mechanics, Bauhaus-University Weimar, 99423 Weimar, GermanyCONSTRUCT-LESE, Faculty of Engineering, University of Porto, 4200-465 Porto, PortugalMode pairing is a crucial step for the stability of any model-updating strategy based on experimental modal parameters. Automatically establishing a stable and assertive correspondence between numerical and experimental modes, in many cases, proves to be a very challenging task, especially in situations where complex mode shapes are present. This article presents a novel formulation for the automatic mode pairing between experimental and numerical complex modes based on an Energy-based Modal Assurance Criterion (EMAC). The efficiency of the proposed criterion was demonstrated on the basis of a case study involving the pairing between numerical and experimental modes of a passenger railway vehicle. A highly complex detailed FE numerical model of the vehicle was developed involving the modeling of the carbody, bogies and axles. A numerical damped modal analysis allowed obtaining the main global rigid-body and flexural modes of the vehicle’s carbody, as well as several local modes associated to the vibration of specific components of the carbody. Due to the localized damping provided by the suspensions, these modes presented complex modal ordinates, especially for the rigid-body modes. The comparison between the results obtained from the application of the EMAC and the classical MAC criteria, on the pairing of five global mode shapes, proved that the EMAC criterion is much more assertive, avoiding mismatches between the experimental global modes and some of the local numerical modes with similar configurations, and, consequently, establishing the correct correspondences between experimental and numerical modes.https://www.mdpi.com/2076-3417/13/1/350model updatingautomatic mode pairingcomplex modal parametersenergy-based MAC |
| spellingShingle | Diogo Ribeiro Cássio Bragança Maik Brehm Volkmar Zabel Rui Calçada A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping Applied Sciences model updating automatic mode pairing complex modal parameters energy-based MAC |
| title | A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping |
| title_full | A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping |
| title_fullStr | A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping |
| title_full_unstemmed | A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping |
| title_short | A Novel Strategy for Automatic Mode Pairing on the Model Updating of Railway Systems with Nonproportional Damping |
| title_sort | novel strategy for automatic mode pairing on the model updating of railway systems with nonproportional damping |
| topic | model updating automatic mode pairing complex modal parameters energy-based MAC |
| url | https://www.mdpi.com/2076-3417/13/1/350 |
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