Abstract
Bridges are among the most important components of transportation systems. Timely damage detection of these structures not only ensures reliability but also prevents catastrophic failures. This paper addresses the damage assessment of bridges based on model updating techniques. Artificial damage was introduced to a beam that was a part of a real prestressed concrete bridge. The magnitude of the damage was increased stepwise, and static loading experiments were conducted in each step. A linear Finite-Element (FE) model with solid elements that were clustered into slices was utilised. A Gaussian bell-shaped curve was used as a damage function to describe the crack location using only three parameters. The experiments focused on sagging under dead load. Damage identification was performed in two steps using a coarse and a refined model. Initially, the FE model with a coarse mesh was updated to approximately localise the damage. Then, the FE model is refined in the vicinity of the approximately localised damage, and damage identification was accurately achieved. The results show that after the second step, the maximum error value of damage localisation is less than 0.5%. This approach could be later used to detect small damages that are not visible.
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References
Link M (1999) Updating of analytical models—review of numerical procedures and application aspects. In: Proceedings of Structural Dynamics Forum SD2000, pp 193–223
Aghagholizadeh M, Catbas FN (2015) A review of model updating methods for civil infrastructure systems. Comput Tech Civil Struct Eng. https://doi.org/10.4203/csets.38.4
Goller B, Beck JL, Schuëller GI (2012) Evidence-based identification of weighting factors in bayesian model updating using modal data. J Eng Mech 138(5):430–440. https://doi.org/10.1061/(asce)em.1943-7889.0000351
Goulet JA, Smith IFC (2013) Structural identification with systematic errors and unknown uncertainty dependencies. Comput Struct 128:251–258. https://doi.org/10.1016/j.compstruc.2013.07.009
Moughty JJ, Casas JR (2017) A state of the art review of modal-based damage detection in bridges: development, challenges, and solutions. Appl Sci. https://doi.org/10.3390/app7050510
Casas JR, Moughty JJ (2017) Bridge damage detection based on vibration data: Past and new developments. Front Built Environ 3:1–12. https://doi.org/10.3389/fbuil.2017.00004
Sha G, Radzieński M, Cao M, Ostachowicz W (2019) A novel method for single and multiple damage detection in beams using relative natural frequency changes. Mech Syst Signal Process 132:335–352. https://doi.org/10.1016/j.ymssp.2019.06.027
Ding ZH, Huang M, Lu ZR (2016) Structural damage detection using artificial bee colony algorithm with hybrid search strategy. Swarm Evol Comput 28:1–13. https://doi.org/10.1016/j.swevo.2015.10.010
Alkayem NF, Cao M, Zhang Y, Bayat M, Su Z (2018) Structural damage detection using finite element model updating with evolutionary algorithms: a survey. Neural Comput Appl 30(2):389–411. https://doi.org/10.1007/s00521-017-3284-1
Abdel Wahab MM, De Roeck G, Peeters B (1999) Parameterization of damage in reinforced concrete structures using model updating. J Sound Vib 228(4):717–730. https://doi.org/10.1006/jsvi.1999.2448
Teughels A, Maeck J, De Roeck G (2002) Damage assessment by FE model updating using damage functions. Comput Struct 80(25):1869–1879. https://doi.org/10.1016/S0045-7949(02)00217-1
Teughels A, De Roeck G (2004) Structural damage identification of the highway bridge Z24 by FE model updating. J Sound Vib 278(3):589–610. https://doi.org/10.1016/j.jsv.2003.10.041
Reynders E, Teughels A, De Roeck G (2010) Finite element model updating and structural damage identification using OMAX data. Mech Syst Signal Process 24(5):1306–1323. https://doi.org/10.1016/j.ymssp.2010.03.014
Zhang W, Sun LM (2017) Damage identification through finite element model updating using wavelet damage function. Life-cycle of engineering systems: emphasis on sustainable civil infrastructure IALCCE. CRC Press, London, pp 2190–2197. https://doi.org/10.1201/9781315375175-322
Zhang W, Sun L, Zhang L (2018) Local damage identification method using finite element model updating based on a new wavelet damage function. Adv Struct Eng 21(10):1482–1494. https://doi.org/10.1177/1369433217746837
Schommer S (2017) Damage detection in prestressed concrete bridges based on static load testing, sagging, and modal parameters, using measurements and model updating. University of Luxembourg, Esch-sur-Alzette
Schommer S, Kebig T, Nguyen VH, Zürbes A, Maas S (2018) Modeling of a prestressed concrete bridge with 3D finite elements for structural health monitoring using model updating techniques. In: Proceedings of ISMA 2018 - International Conference on Noise Vibration Engineering USD 2018 - International Conference on Uncertainity Structural Dynamics, pp 1607–1620
Nguyen VH, Schommer S, Maas S, Zürbes A (2016) Static load testing with temperature compensation for structural health monitoring of bridges. Eng Struct 127:700–718. https://doi.org/10.1016/j.engstruct.2016.09.018
Jaishi B, Ren WX (2006) Damage detection by finite element model updating using modal flexibility residual. J Sound Vib 290(1–2):369–387. https://doi.org/10.1016/j.jsv.2005.04.006
Schlune H, Plos M, Gylltoft K (2009) Improved bridge evaluation through finite element model updating using static and dynamic measurements. Eng Struct 31(7):1477–1485. https://doi.org/10.1016/j.engstruct.2009.02.011
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Schommer, S., Dakhili, K., Nguyen, V.H. et al. A Gaussian damage function combined with sliced finite-element meshing for damage detection. J Civil Struct Health Monit 12, 1493–1508 (2022). https://doi.org/10.1007/s13349-022-00602-3
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DOI: https://doi.org/10.1007/s13349-022-00602-3