{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:06:38Z","timestamp":1760231198340,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T00:00:00Z","timestamp":1661731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China (NSFC)","doi-asserted-by":"publisher","award":["51878118","LJKZ0031"],"award-info":[{"award-number":["51878118","LJKZ0031"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007620","name":"Educational Department of Liaoning Province, China","doi-asserted-by":"publisher","award":["51878118","LJKZ0031"],"award-info":[{"award-number":["51878118","LJKZ0031"]}],"id":[{"id":"10.13039\/501100007620","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In civil engineering, the joints of structures are complex, and their damage is generally hard to be detected. Due to the insensitivity of structural modal information to local joint damage, this paper presents a method based on additional virtual mass for damage identification of a semi-rigid joint in a frame structure. Firstly, the modeling of a semi-rigid is described. Secondly, the frequency response of the virtual structure is constructed, and the natural frequency of the constructed virtual structure is extracted by the ERA method. By adding multiple values of virtual masses at different positions, the natural frequency information sensitive to joint damage for damage identification is effectively increased. Based on the above theory, qualitative identification of joint damage is proposed to detect the potential damage, and identification of both damage location and its extent is presented, using natural frequency. Improved Orthogonal Matching Pursuit (IOMP) algorithm is employed to improve the accuracy of the natural frequency-based method for damage identification. At last, numerical simulation of a three-story frame is performed to discuss and to verify the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/s22176495","type":"journal-article","created":{"date-parts":[[2022,8,30]],"date-time":"2022-08-30T01:37:55Z","timestamp":1661823475000},"page":"6495","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Damage Identification of Semi-Rigid Joints in Frame Structures Based on Additional Virtual Mass Method"],"prefix":"10.3390","volume":"22","author":[{"given":"Xinhao","family":"An","sequence":"first","affiliation":[{"name":"School of Civil Engineering, Dalian University of Technology, Dalian 116023, China"}]},{"given":"Qingxia","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Dalian Minzu University, Dalian 116650, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5525-5356","authenticated-orcid":false,"given":"Chao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Dalian University of Technology, Dalian 116023, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3554-7036","authenticated-orcid":false,"given":"Jilin","family":"Hou","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Dalian University of Technology, Dalian 116023, China"}]},{"given":"Yongkang","family":"Shi","sequence":"additional","affiliation":[{"name":"Glodon Company Limited, Shanghai 200093, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"key":"ref_1","first-page":"463","article-title":"Experimental study on a new type of assembly bolted end-plate connection","volume":"26","author":"Li","year":"2018","journal-title":"Steel Compos. 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