{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:45:30Z","timestamp":1760147130710,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T00:00:00Z","timestamp":1673395200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Science Foundation of Hebei Province China","award":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"],"award-info":[{"award-number":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"],"award-info":[{"award-number":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Australian Research Council Discovery Project","award":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"],"award-info":[{"award-number":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"]}]},{"name":"2022 Hebei Provincial Department of Education Project of China","award":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"],"award-info":[{"award-number":["A2022210007","U22A20246","51878433","DP 220102045","ZD2022019"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>A new damaged cable identification method using the basis vector matrix (BVM) is proposed to identify multiple damaged cables in cable-stayed bridges. The relationships between the cable tension stiffness and the girder bending strain of the cable-stayed bridge are established using a force method. The difference between the maximum bending strains of the bridges with intact and damaged cables is used to obtain the damage index vectors (DIXVs). Then, BVM is obtained by the normalized DIXV. Finally, the damage indicator vector (DIV) is obtained by DIXV and BVM to identify the damaged cables. The damage indicator is substituted into the damage severity function to identify the corresponding damage severity. A field cable-stayed bridge is used to verify the proposed method. The three-dimensional finite element model is established using ANSYS, and the model is validated using the field measurements. The validated model is used to simulate the strain response of the bridge with different damage scenarios subject to a moving vehicle load, including one, two, three, and four damaged cables with damage severity of 10%, 20%, and 30%, respectively. The noise effect is also discussed. The results show that the BVM method has good anti-noise capability and robustness.<\/jats:p>","DOI":"10.3390\/s23020860","type":"journal-article","created":{"date-parts":[[2023,1,12]],"date-time":"2023-01-12T03:47:01Z","timestamp":1673495221000},"page":"860","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multiple Damaged Cables Identification in Cable-Stayed Bridges Using Basis Vector Matrix Method"],"prefix":"10.3390","volume":"23","author":[{"given":"Jianying","family":"Ren","sequence":"first","affiliation":[{"name":"State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"},{"name":"Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5083-9320","authenticated-orcid":false,"given":"Xinqun","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Civil and Environmental Engineering, University of Technology Sydney, Ultimo, NSW 2007, Australia"}]},{"given":"Shaohua","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.engstruct.2019.01.124","article-title":"Damage diagnosis in bridge structures using rotation influence line: Validation on a cable-stayed bridge","volume":"185","author":"Alamdari","year":"2019","journal-title":"Eng. 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