{"id":"https://openalex.org/W1965558582","doi":"https://doi.org/10.1137/1032120","title":"Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis","display_name":"Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis","publication_year":1990,"publication_date":"1990-12-01","ids":{"openalex":"https://openalex.org/W1965558582","doi":"https://doi.org/10.1137/1032120","mag":"1965558582"},"language":"en","primary_location":{"id":"doi:10.1137/1032120","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1032120","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","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/A5006003908","display_name":"A. C. Lazer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. C. Lazer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038208359","display_name":"P. J. McKenna","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P. J. McKenna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4934,"has_fulltext":false,"cited_by_count":695,"citation_normalized_percentile":{"value":0.95312395,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"32","issue":"4","first_page":"537","last_page":"578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11870","display_name":"Structural Analysis and Optimization","score":0.9975000023841858,"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/nonlinear-system","display_name":"Nonlinear system","score":0.8118103742599487},{"id":"https://openalex.org/keywords/suspension","display_name":"Suspension (topology)","score":0.7035090923309326},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.6743703484535217},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.6411038041114807},{"id":"https://openalex.org/keywords/nonlinear-oscillations","display_name":"Nonlinear Oscillations","score":0.5035035014152527},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46497204899787903},{"id":"https://openalex.org/keywords/periodic-function","display_name":"Periodic function","score":0.45575469732284546},{"id":"https://openalex.org/keywords/bending","display_name":"Bending","score":0.4177975058555603},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37781593203544617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36972901225090027},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3521406650543213},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3421803116798401},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.2535540759563446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23326072096824646},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2127959132194519},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.07210463285446167}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.8118103742599487},{"id":"https://openalex.org/C105341887","wikidata":"https://www.wikidata.org/wiki/Q1307987","display_name":"Suspension (topology)","level":3,"score":0.7035090923309326},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6743703484535217},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.6411038041114807},{"id":"https://openalex.org/C2779437913","wikidata":"https://www.wikidata.org/wiki/Q4316764","display_name":"Nonlinear Oscillations","level":3,"score":0.5035035014152527},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46497204899787903},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.45575469732284546},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.4177975058555603},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37781593203544617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36972901225090027},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3521406650543213},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3421803116798401},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2535540759563446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23326072096824646},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2127959132194519},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.07210463285446167},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1032120","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1032120","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W15003024","https://openalex.org/W33194414","https://openalex.org/W95429918","https://openalex.org/W752412876","https://openalex.org/W1518081235","https://openalex.org/W1518826977","https://openalex.org/W1546595255","https://openalex.org/W1563640522","https://openalex.org/W1585710873","https://openalex.org/W1968770615","https://openalex.org/W1968841275","https://openalex.org/W1974798696","https://openalex.org/W1981386953","https://openalex.org/W1989586200","https://openalex.org/W1991049836","https://openalex.org/W1992074104","https://openalex.org/W1997935089","https://openalex.org/W2001907925","https://openalex.org/W2026281299","https://openalex.org/W2029296007","https://openalex.org/W2043903358","https://openalex.org/W2046584466","https://openalex.org/W2057321301","https://openalex.org/W2058520004","https://openalex.org/W2062100551","https://openalex.org/W2068447582","https://openalex.org/W2071272985","https://openalex.org/W2071888114","https://openalex.org/W2073432063","https://openalex.org/W2074055900","https://openalex.org/W2074195331","https://openalex.org/W2075597180","https://openalex.org/W2079641050","https://openalex.org/W2088091031","https://openalex.org/W2136527985","https://openalex.org/W2151536094","https://openalex.org/W2157264780","https://openalex.org/W2248596141","https://openalex.org/W2263169477","https://openalex.org/W2286007337","https://openalex.org/W2315286058","https://openalex.org/W2316571970","https://openalex.org/W2320862726","https://openalex.org/W2594921995","https://openalex.org/W2594983376","https://openalex.org/W2622535959","https://openalex.org/W2793347516","https://openalex.org/W2912385444","https://openalex.org/W3125083050","https://openalex.org/W4238341452","https://openalex.org/W4244792058","https://openalex.org/W4252984754","https://openalex.org/W4299870079"],"related_works":["https://openalex.org/W4230581126","https://openalex.org/W4378765297","https://openalex.org/W2761548024","https://openalex.org/W2016521071","https://openalex.org/W2001367988","https://openalex.org/W2069384021","https://openalex.org/W1990308498","https://openalex.org/W1986629578","https://openalex.org/W2149075715","https://openalex.org/W1485551670"],"abstract_inverted_index":{"This":[0],"paper":[1],"surveys":[2],"an":[3],"area":[4],"of":[5,21,24,29,66],"nonlinear":[6,39],"functional":[7],"analysis":[8],"and":[9,19,34],"its":[10],"applications.":[11],"The":[12],"main":[13],"application":[14,37],"is":[15,61],"to":[16,38],"the":[17,64,67],"existence":[18],"multiplicity":[20],"periodic":[22,52],"solutions":[23],"a":[25,55],"possible":[26,36],"mathematical":[27],"models":[28],"nonlinearly":[30,59],"supported":[31],"bending":[32],"beams,":[33],"their":[35],"behavior":[40],"as":[41],"observed":[42],"in":[43,46,54],"large-amplitude":[44],"flexings":[45,53],"suspension":[47],"bridges.":[48],"A":[49],"second":[50],"area,":[51],"floating":[56],"beam,":[57],"also":[58],"supported,":[60],"covered":[62],"at":[63],"end":[65],"paper.":[68]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":29},{"year":2024,"cited_by_count":29},{"year":2023,"cited_by_count":36},{"year":2022,"cited_by_count":26},{"year":2021,"cited_by_count":33},{"year":2020,"cited_by_count":23},{"year":2019,"cited_by_count":32},{"year":2018,"cited_by_count":28},{"year":2017,"cited_by_count":38},{"year":2016,"cited_by_count":31},{"year":2015,"cited_by_count":37},{"year":2014,"cited_by_count":32},{"year":2013,"cited_by_count":27},{"year":2012,"cited_by_count":33}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}