{"id":"https://openalex.org/W1970506745","doi":"https://doi.org/10.1142/s0218127415500029","title":"Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System","display_name":"Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1970506745","doi":"https://doi.org/10.1142/s0218127415500029","mag":"1970506745"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127415500029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500029","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5020274098","display_name":"Jianzhe Huang","orcid":"https://orcid.org/0000-0002-5945-6235"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianzhe Huang","raw_affiliation_strings":["Department of Mechanical Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076270155","display_name":"Albert C. J. Luo","orcid":"https://orcid.org/0000-0001-8208-6108"},"institutions":[{"id":"https://openalex.org/I87547150","display_name":"Southern Illinois University Edwardsville","ror":"https://ror.org/04cqs5j56","country_code":"US","type":"education","lineage":["https://openalex.org/I2801502357","https://openalex.org/I87547150"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Albert C. J. Luo","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA","Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA","institution_ids":["https://openalex.org/I87547150"]},{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA#TAB#","institution_ids":["https://openalex.org/I87547150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0674,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91646968,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"01","first_page":"1550002","last_page":"1550002"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9998000264167786,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9700999855995178,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.713967502117157},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.68349289894104},{"id":"https://openalex.org/keywords/rotor","display_name":"Rotor (electric)","score":0.5509929060935974},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.5472967624664307},{"id":"https://openalex.org/keywords/helicopter-rotor","display_name":"Helicopter rotor","score":0.5193116068840027},{"id":"https://openalex.org/keywords/eccentricity","display_name":"Eccentricity (behavior)","score":0.49753835797309875},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.4830513596534729},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.44095373153686523},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42619869112968445},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.41045093536376953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36934152245521545}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.713967502117157},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.68349289894104},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.5509929060935974},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5472967624664307},{"id":"https://openalex.org/C177124886","wikidata":"https://www.wikidata.org/wiki/Q1343028","display_name":"Helicopter rotor","level":3,"score":0.5193116068840027},{"id":"https://openalex.org/C190538878","wikidata":"https://www.wikidata.org/wiki/Q50013","display_name":"Eccentricity (behavior)","level":2,"score":0.49753835797309875},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4830513596534729},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.44095373153686523},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42619869112968445},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.41045093536376953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36934152245521545},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127415500029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127415500029","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W7313025","https://openalex.org/W403112863","https://openalex.org/W1972931998","https://openalex.org/W1979400963","https://openalex.org/W1982280336","https://openalex.org/W1983654567","https://openalex.org/W2011406684","https://openalex.org/W2011790690","https://openalex.org/W2013972821","https://openalex.org/W2025178995","https://openalex.org/W2029280483","https://openalex.org/W2030465009","https://openalex.org/W2041932726","https://openalex.org/W2059146087","https://openalex.org/W2065412553","https://openalex.org/W2069641344","https://openalex.org/W2071670511","https://openalex.org/W2085713131","https://openalex.org/W2119368478","https://openalex.org/W2124484443","https://openalex.org/W2325589530","https://openalex.org/W2325936659","https://openalex.org/W2328059447"],"related_works":["https://openalex.org/W2389901825","https://openalex.org/W2381606235","https://openalex.org/W2607648084","https://openalex.org/W2372539239","https://openalex.org/W2503672173","https://openalex.org/W341837047","https://openalex.org/W821355620","https://openalex.org/W2378451074","https://openalex.org/W2384616354","https://openalex.org/W270875872"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"analytical":[3,34],"solutions":[4,35,38],"for":[5,106],"period-m":[6,37],"motions":[7,58,68,90,111,118],"in":[8,91,120],"a":[9,122],"buckled,":[10,93],"nonlinear":[11,18,94,114,124],"Jeffcott":[12,19,95,125],"rotor":[13,20,31,96],"system":[14,21],"are":[15,39,47,61,98,104],"obtained.":[16],"This":[17],"with":[22],"two-degrees":[23],"of":[24,36,56,66,88,112],"freedom":[25],"is":[26],"excited":[27],"periodically":[28],"from":[29],"the":[30,42,72,92,113],"eccentricity.":[32],"The":[33,63,78],"developed,":[40],"and":[41,45,100],"corresponding":[43],"stability":[44],"bifurcation":[46,54,73],"also":[48],"analyzed":[49],"by":[50],"eigenvalue":[51],"analysis.":[52],"Analytical":[53],"trees":[55],"period-1":[57],"to":[59],"chaos":[60],"presented.":[62],"Hopf":[64],"bifurcations":[65],"periodic":[67,89,110,117],"cause":[69],"not":[70],"only":[71],"tree":[74],"but":[75],"quasi-periodic":[76,79],"motions.":[77],"motion":[80],"can":[81],"be":[82],"stable":[83],"or":[84],"unstable.":[85],"Displacement":[86],"orbits":[87],"systems":[97],"illustrated,":[99],"harmonic":[101,107],"amplitude":[102],"spectrums":[103],"presented":[105],"effects":[108],"on":[109],"rotor.":[115,126],"Coexisting":[116],"exist":[119],"such":[121],"buckled":[123]},"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":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}