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Concrete arch dams are prone to damage during severe seismic events, leading to alterations in their structural dynamic characteristics and modal parameters, which exhibit specific time-varying properties. This highlights the significance of investigating the evolution of their modal parameters and ensuring their accurate identification. To effectively accomplish the recursive estimation of modal parameters for arch dams, an adaptive recursive subspace (ARS) method with variable forgetting factors was proposed in this study. In the ARS method, the variable forgetting factors were adaptively updated by assessing the change rate of the spatial Euclidean distance of adjacent modal frequency identification values. A numerical simulation of a concrete arch dam under seismic loading was conducted by using ABAQUS software, in which a concrete damaged plasticity (CDP) model was used to simulate the dam body\u2019s constitutive relation, allowing for the assessment of damage development under seismic loading. Utilizing the dynamic responses obtained from the numerical simulation, the ARS method was implemented for the modal parameter recursive estimation of the arch dam. The identification results revealed a decreasing trend in the frequencies of the four initial modes of the arch dam: from an undamaged state characterized by frequencies of 0.910, 1.166, 1.871, and 2.161 Hz to values of 0.895, 1.134, 1.842, and 2.134 Hz, respectively. Concurrently, increases in the damping ratios of these modes were observed, transitioning from 4.44%, 4.28%, 5.42%, and 5.56% to 4.98%, 4.91%, 6.61%, and 6.85%%, respectively. The correlation of the identification results with damage progression validated the effectiveness of the ARS method. This study\u2019s outcomes have substantial theoretical and practical importance, facilitating the immediate comprehension of the dynamic characteristics and operational states of concrete arch dam structures.<\/jats:p>","DOI":"10.3390\/s24123845","type":"journal-article","created":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T08:02:26Z","timestamp":1718352146000},"page":"3845","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Modal Parameter Recursive Estimation of Concrete Arch Dams under Seismic Loading Using an Adaptive Recursive Subspace Method"],"prefix":"10.3390","volume":"24","author":[{"given":"Xinyi","family":"Zhu","sequence":"first","affiliation":[{"name":"College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0874-0786","authenticated-orcid":false,"given":"Jianchun","family":"Qiu","sequence":"additional","affiliation":[{"name":"College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"},{"name":"Modern Rural Water Resources Research Institute, College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"}]},{"given":"Yanxin","family":"Xu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China"},{"name":"National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China"},{"name":"College of Water-Conservancy and Hydropower, Hohai University, Nanjing 210098, China"}]},{"given":"Xingqiao","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China"},{"name":"National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China"},{"name":"College of Water-Conservancy and Hydropower, Hohai University, Nanjing 210098, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2055-7506","authenticated-orcid":false,"given":"Pengcheng","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0457-1866","authenticated-orcid":false,"given":"Xin","family":"Wu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China"},{"name":"National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China"},{"name":"College of Water-Conservancy and Hydropower, Hohai University, Nanjing 210098, China"}]},{"given":"Shaolong","family":"Guo","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210098, China"},{"name":"College of Water-Conservancy and Hydropower, Hohai University, Nanjing 210098, China"},{"name":"College of Civil Engineering, Tianjin Chengjian University, Tianjin 300384, China"}]},{"given":"Jicheng","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"}]},{"given":"Jiale","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Shao, C., Xu, Y., Chen, H., Zheng, S., and Qin, X. 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