{"id":"https://openalex.org/W3142254196","doi":"https://doi.org/10.3390/s21072366","title":"A Novel Stochastic Approach for Static Damage Identification of Beam Structures Using Homotopy Analysis Algorithm","display_name":"A Novel Stochastic Approach for Static Damage Identification of Beam Structures Using Homotopy Analysis Algorithm","publication_year":2021,"publication_date":"2021-03-29","ids":{"openalex":"https://openalex.org/W3142254196","doi":"https://doi.org/10.3390/s21072366","mag":"3142254196","pmid":"https://pubmed.ncbi.nlm.nih.gov/33805366"},"language":"en","primary_location":{"id":"doi:10.3390/s21072366","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s21072366","pdf_url":"https://www.mdpi.com/1424-8220/21/7/2366/pdf?version=1617937760","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/21/7/2366/pdf?version=1617937760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103065258","display_name":"Zhifeng Wu","orcid":"https://orcid.org/0000-0003-2707-6171"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifeng Wu","raw_affiliation_strings":["School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009663503","display_name":"Bin Huang","orcid":"https://orcid.org/0000-0003-3454-6952"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Huang","raw_affiliation_strings":["School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China","institution_ids":["https://openalex.org/I196699116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037648726","display_name":"Kong Fah Tee","orcid":"https://orcid.org/0000-0003-3202-873X"},"institutions":[{"id":"https://openalex.org/I55060895","display_name":"University of Greenwich","ror":"https://ror.org/00bmj0a71","country_code":"GB","type":"education","lineage":["https://openalex.org/I55060895"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kong Fah Tee","raw_affiliation_strings":["School of Engineering, University of Greenwich, Kent ME4 4TB, UK"],"affiliations":[{"raw_affiliation_string":"School of Engineering, University of Greenwich, Kent ME4 4TB, UK","institution_ids":["https://openalex.org/I55060895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114930025","display_name":"Weidong Zhang","orcid":"https://orcid.org/0000-0002-8165-625X"},"institutions":[{"id":"https://openalex.org/I196699116","display_name":"Wuhan University of Technology","ror":"https://ror.org/03fe7t173","country_code":"CN","type":"education","lineage":["https://openalex.org/I196699116"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weidong Zhang","raw_affiliation_strings":["School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China","institution_ids":["https://openalex.org/I196699116"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009663503"],"corresponding_institution_ids":["https://openalex.org/I196699116"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":0.5349,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80526919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"7","first_page":"2366","last_page":"2366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12293","display_name":"Dam Engineering and Safety","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.613086998462677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5938788652420044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5187499523162842},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4586924910545349},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.429351806640625},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4271087348461151},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.294847309589386},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.2080426812171936},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19078361988067627}],"concepts":[{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.613086998462677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5938788652420044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5187499523162842},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4586924910545349},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.429351806640625},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4271087348461151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.294847309589386},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2080426812171936},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19078361988067627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s21072366","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s21072366","pdf_url":"https://www.mdpi.com/1424-8220/21/7/2366/pdf?version=1617937760","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:33805366","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33805366","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:74891ba7c3db4c98b07dc0a683e502fe","is_oa":true,"landing_page_url":"https://doaj.org/article/74891ba7c3db4c98b07dc0a683e502fe","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors, Vol 21, Iss 7, p 2366 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/21/7/2366/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s21072366","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors; Volume 21; Issue 7; Pages: 2366","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8037578","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8037578","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s21072366","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s21072366","pdf_url":"https://www.mdpi.com/1424-8220/21/7/2366/pdf?version=1617937760","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G248941732","display_name":null,"funder_award_id":"51578431","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6297566466","display_name":null,"funder_award_id":"51978545","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3142254196.pdf","grobid_xml":"https://content.openalex.org/works/W3142254196.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1486325994","https://openalex.org/W1503520348","https://openalex.org/W1964791396","https://openalex.org/W1966282319","https://openalex.org/W1972407934","https://openalex.org/W1973849157","https://openalex.org/W2017026122","https://openalex.org/W2031981587","https://openalex.org/W2035638724","https://openalex.org/W2050195282","https://openalex.org/W2050790418","https://openalex.org/W2051912119","https://openalex.org/W2052994586","https://openalex.org/W2058928913","https://openalex.org/W2059067205","https://openalex.org/W2087659852","https://openalex.org/W2094363207","https://openalex.org/W2102163167","https://openalex.org/W2103208688","https://openalex.org/W2105396578","https://openalex.org/W2144522870","https://openalex.org/W2146855041","https://openalex.org/W2159555138","https://openalex.org/W2164923467","https://openalex.org/W2226386374","https://openalex.org/W2516887090","https://openalex.org/W2519471846","https://openalex.org/W2522194080","https://openalex.org/W2620691838","https://openalex.org/W2622393191","https://openalex.org/W2701497098","https://openalex.org/W2738400624","https://openalex.org/W2757052101","https://openalex.org/W2790525990","https://openalex.org/W2791983134","https://openalex.org/W2890466532","https://openalex.org/W2892267615","https://openalex.org/W2895742125","https://openalex.org/W2904840728","https://openalex.org/W2905450540","https://openalex.org/W2982065415","https://openalex.org/W3011977341","https://openalex.org/W3031761438","https://openalex.org/W3032168070","https://openalex.org/W3083040263","https://openalex.org/W3085509224","https://openalex.org/W3092725957","https://openalex.org/W3110703077","https://openalex.org/W3110926518","https://openalex.org/W6778904827","https://openalex.org/W6786944538"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542"],"abstract_inverted_index":{"This":[0,20],"paper":[1],"proposes":[2],"a":[3,72,91,96,180],"new":[4,21,73],"damage":[5,48,58,65,83,116,143,163,191],"identification":[6,49,59,84,144,164],"approach":[7,22,145],"for":[8],"beam":[9,38],"structures":[10,39],"with":[11,51,61,165],"stochastic":[12,57,82],"parameters":[13],"based":[14],"on":[15],"uncertain":[16],"static":[17,27,47,92,177],"measurement":[18,28,106,168],"data.":[19],"considers":[23],"not":[24],"only":[25],"the":[26,32,36,56,64,81,87,104,113,123,136,141,151,155,176,185,190,193],"errors,":[29],"but":[30],"also":[31,45],"modelling":[33,171],"error":[34],"of":[35,89,115,125,130,140,179,192],"initial":[37],"as":[40],"random":[41],"quantities,":[42],"and":[43,95,108,138,170],"can":[44,158],"address":[46,103],"problems":[50],"relatively":[52,166],"large":[53,167],"uncertainties.":[54],"First,":[55],"equations":[60],"respect":[62],"to":[63,79,102,121,150,175],"indexes":[66],"were":[67,100],"established.":[68],"On":[69],"this":[70],"basis,":[71],"homotopy":[74],"analysis":[75],"algorithm":[76],"was":[77],"used":[78],"solve":[80],"equations.":[85],"During":[86],"process":[88],"solution,":[90],"condensation":[93],"technique":[94],"L1":[97],"regularization":[98],"method":[99,157,187],"employed":[101],"limited":[105],"data":[107],"ill-posed":[109],"problems,":[110],"respectively.":[111],"Furthermore,":[112],"definition":[114],"probability":[117],"index":[118],"is":[119],"presented":[120],"evaluate":[122],"possibility":[124],"existing":[126],"damages.":[127],"The":[128],"results":[129],"two":[131],"numerical":[132],"examples":[133],"show":[134],"that":[135],"accuracy":[137,161],"efficiency":[139],"proposed":[142,156,186],"are":[146],"good.":[147],"In":[148],"comparison":[149],"first-order":[152],"perturbation":[153],"method,":[154],"ensure":[159],"better":[160],"in":[162],"errors":[169],"error.":[172],"Finally,":[173],"according":[174],"tests":[178],"simply":[181],"supported":[182],"concrete":[183],"beam,":[184],"successfully":[188],"identified":[189],"beam.":[194]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}