{"id":"https://openalex.org/W4386563237","doi":"https://doi.org/10.1061/jbenf2.beeng-6350","title":"Main Cable Shape-Finding and Live Load Response of the Suspension Bridge with Central Buckles: An Analytical Algorithm","display_name":"Main Cable Shape-Finding and Live Load Response of the Suspension Bridge with Central Buckles: An Analytical Algorithm","publication_year":2023,"publication_date":"2023-09-08","ids":{"openalex":"https://openalex.org/W4386563237","doi":"https://doi.org/10.1061/jbenf2.beeng-6350"},"language":"en","primary_location":{"id":"doi:10.1061/jbenf2.beeng-6350","doi":"https://doi.org/10.1061/jbenf2.beeng-6350","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jbenf2.beeng-6350","pdf_url":null,"source":{"id":"https://openalex.org/S156658909","display_name":"Journal of Bridge Engineering","issn_l":"1084-0702","issn":["1084-0702","1943-5592"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Bridge Engineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067216610","display_name":"Wen-ming Zhang","orcid":"https://orcid.org/0000-0002-8272-1121","observed_orcids":["https://orcid.org/0000-0002-8272-1121"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-ming Zhang","raw_affiliation_strings":["Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China (corresponding author). ORCID: "],"raw_orcid":"https://orcid.org/0000-0002-8272-1121","affiliations":[{"raw_affiliation_string":"Professor, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China (corresponding author). ORCID: ","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073887689","display_name":"Xing-hang Shen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing-hang Shen","raw_affiliation_strings":["Master\u2019s Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Master\u2019s Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070546759","display_name":"Jia-qi Chang","orcid":"https://orcid.org/0000-0002-0117-7620","observed_orcids":["https://orcid.org/0000-0002-0117-7620"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia-qi Chang","raw_affiliation_strings":["Master\u2019s Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Master\u2019s Candidate, Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast Univ., Nanjing 211189, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.9609,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68747157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"28","issue":"11","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.7505000233650208,"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"}},"topics":[{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.7505000233650208,"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/T12940","display_name":"Structural Engineering and Materials Analysis","score":0.12919999659061432,"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/T12487","display_name":"Structural Engineering and Vibration Analysis","score":0.06780000030994415,"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/suspension-bridges","display_name":"suspension bridges","score":0.8709999918937683},{"id":"https://openalex.org/keywords/constraint-equations","display_name":"constraint equations","score":0.5730000138282776},{"id":"https://openalex.org/keywords/internal-forces","display_name":"internal forces","score":0.5759999752044678},{"id":"https://openalex.org/keywords/structural-deformation","display_name":"structural deformation","score":0.7979999780654907},{"id":"https://openalex.org/keywords/analytical-algorithm","display_name":"analytical algorithm","score":0.32499998807907104}],"concepts":[{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.730333685874939},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.6858027577400208},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.6080670952796936},{"id":"https://openalex.org/C126950237","wikidata":"https://www.wikidata.org/wiki/Q7964839","display_name":"Structural load","level":2,"score":0.497315913438797},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.4074496626853943},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3873182237148285},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3584451675415039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3289770781993866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1823062300682068},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1061/jbenf2.beeng-6350","doi":"https://doi.org/10.1061/jbenf2.beeng-6350","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jbenf2.beeng-6350","pdf_url":null,"source":{"id":"https://openalex.org/S156658909","display_name":"Journal of Bridge Engineering","issn_l":"1084-0702","issn":["1084-0702","1943-5592"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Bridge Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.5378999710083008}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W762776671","https://openalex.org/W1456800347","https://openalex.org/W1500013949","https://openalex.org/W1516686222","https://openalex.org/W1578767300","https://openalex.org/W1594242239","https://openalex.org/W1974801525","https://openalex.org/W1980859045","https://openalex.org/W1995788446","https://openalex.org/W1997175762","https://openalex.org/W2002988631","https://openalex.org/W2012690097","https://openalex.org/W2014961207","https://openalex.org/W2018436719","https://openalex.org/W2062236338","https://openalex.org/W2069426400","https://openalex.org/W2074145107","https://openalex.org/W2088295659","https://openalex.org/W2092804057","https://openalex.org/W2129172144","https://openalex.org/W2231858411","https://openalex.org/W2278456043","https://openalex.org/W2357169548","https://openalex.org/W2486732764","https://openalex.org/W2507057294","https://openalex.org/W2514934774","https://openalex.org/W2981910258","https://openalex.org/W3111884915","https://openalex.org/W3112237816","https://openalex.org/W3146564845","https://openalex.org/W3188178093","https://openalex.org/W3203318401","https://openalex.org/W4241297853","https://openalex.org/W4247166888","https://openalex.org/W6725708740","https://openalex.org/W6928626516"],"related_works":["https://openalex.org/W4302293973","https://openalex.org/W3203318401","https://openalex.org/W2352338843","https://openalex.org/W4393948570","https://openalex.org/W2378260022","https://openalex.org/W7118650133","https://openalex.org/W4310858865","https://openalex.org/W4229012117","https://openalex.org/W2377205153","https://openalex.org/W2387878826"],"abstract_inverted_index":{"The":[0,70,134,150,307],"stiffness":[1],"of":[2,10,25,44,51,88,92,143,174,182,202,210,214,221,226,231,236,242,255,277,284,292,303],"suspension":[3,35,286],"bridges,":[4],"which":[5,326],"are":[6],"flexible":[7,38],"systems":[8],"composed":[9],"main":[11,53,129,184,186,216,257,290],"cables":[12],"and":[13,58,62,84,113,179,188,224,234,245,251,301,310],"stiffening":[14,94],"beams,":[15],"is":[16,73,327],"frequently":[17],"increased":[18],"by":[19,98,314],"adding":[20],"one":[21],"or":[22],"more":[23],"pairs":[24],"central":[26,39,85,115,238],"buckles":[27],"in":[28,132,193,248,328],"the":[29,49,52,59,76,82,93,99,111,114,117,125,140,144,148,164,170,175,177,183,208,211,219,222,229,232,240,252,256,273,278,299,304,315,319,332],"midspan.":[30],"This":[31],"study":[32,283],"examined":[33],"a":[34,42,281,285,289],"bridge":[36,78,166,189,287],"with":[37,195,288,331],"buckles,":[40,116],"proposing":[41],"set":[43],"analytical":[45,316],"calculation":[46],"methods":[47],"for":[48,127,318],"shape-finding":[50],"cable":[54,130,217],"under":[55,65],"dead":[56],"load":[57,172,198,275,321],"structural":[60,308],"deformation":[61,178,225,235,309],"internal":[63,311],"forces":[64,312],"any":[66],"uniform":[67],"live":[68,171,197,274,320],"loads.":[69],"proposed":[71,305],"method":[72,334],"based":[74],"on":[75],"known":[77,196],"design":[79],"parameters.":[80,199],"First,":[81],"suspender":[83],"buckle":[86],"tension":[87],"each":[89,128,215,227,237,249],"hanging":[90],"point":[91],"beam":[95,104],"was":[96,121,137,152,295],"determined":[97],"multipoint":[100],"rigid":[101],"support":[102],"continuous":[103],"method.":[105,306],"After":[106],"assigning":[107],"these":[108],"tensions":[109],"to":[110,123,159,267,272,297],"suspenders":[112],"multisegment":[118],"catenary":[119],"theory":[120],"used":[122,296],"derive":[124],"equation":[126,136,151],"segment":[131],"turn.":[133],"constraint":[135,203],"established":[138,206],"through":[139,207],"closure":[141,241],"condition":[142],"height":[145,246],"difference":[146,247],"within":[147],"span.":[149],"then":[153],"transformed":[154],"into":[155,263],"an":[156,264],"objective":[157,265],"function":[158,266],"be":[160,268],"programmatically":[161,269],"solved,":[162,270],"determining":[163],"completed":[165],"state.":[167],"To":[168],"determine":[169],"response":[173,276],"bridge,":[176],"position":[180],"relationships":[181],"cable,":[185],"beam,":[187],"towers":[190],"were":[191,205,261],"analyzed":[192],"sequence,":[194],"Five":[200],"types":[201],"equations":[204],"conservation":[209],"unstrained":[212],"length":[213,244],"segment,":[218],"coordination":[220,230],"force":[223,233,253],"suspender,":[228],"buckle,":[239],"span":[243,291],"span,":[250],"balance":[254],"beam.":[258],"Then,":[259],"they":[260],"converted":[262],"leading":[271],"structure.":[279],"Finally,":[280],"case":[282],"1,050":[293],"m":[294],"verify":[298],"feasibility":[300],"effectiveness":[302],"provided":[313],"solution":[317],"action":[322],"had":[323],"good":[324,329],"accuracy,":[325],"agreement":[330],"finite-element":[333],"results.":[335]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-09-10T00:00:00"}
