{"id":"https://openalex.org/W4293660628","doi":"https://doi.org/10.1142/s0218127422501449","title":"Multi-Mode Motion Dynamics of a Top Tensioned Riser Excited by Vortices and Varying Tension","display_name":"Multi-Mode Motion Dynamics of a Top Tensioned Riser Excited by Vortices and Varying Tension","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W4293660628","doi":"https://doi.org/10.1142/s0218127422501449"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127422501449","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501449","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/A5100411796","display_name":"Dan Wang","orcid":"https://orcid.org/0000-0002-1374-5787"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dan Wang","raw_affiliation_strings":["College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088544347","display_name":"Zhifeng Hao","orcid":"https://orcid.org/0000-0001-7822-036X"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifeng Hao","raw_affiliation_strings":["School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-7822-036X","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101871193","display_name":"Fangqi Chen","orcid":"https://orcid.org/0000-0001-7104-0948"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangqi Chen","raw_affiliation_strings":["College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003202344","display_name":"Yushu Chen","orcid":"https://orcid.org/0000-0003-0731-0813"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yushu Chen","raw_affiliation_strings":["School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6349,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.60104269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"32","issue":"10","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.9995999932289124,"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/vortex-shedding","display_name":"Vortex shedding","score":0.7461543083190918},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.703029453754425},{"id":"https://openalex.org/keywords/parametric-oscillator","display_name":"Parametric oscillator","score":0.6746534109115601},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6661131978034973},{"id":"https://openalex.org/keywords/resonance","display_name":"Resonance (particle physics)","score":0.6325985193252563},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.6230447292327881},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.5888274908065796},{"id":"https://openalex.org/keywords/wake","display_name":"Wake","score":0.5417054891586304},{"id":"https://openalex.org/keywords/vortex","display_name":"Vortex","score":0.522982120513916},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4763094186782837},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.4675542116165161},{"id":"https://openalex.org/keywords/tension","display_name":"Tension (geology)","score":0.44081056118011475},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40945276618003845},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3842361569404602},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.22558218240737915},{"id":"https://openalex.org/keywords/atomic-physics","display_name":"Atomic physics","score":0.17132693529129028},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.15199068188667297},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11547327041625977},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1105794608592987},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09824088215827942}],"concepts":[{"id":"https://openalex.org/C178760647","wikidata":"https://www.wikidata.org/wiki/Q28129961","display_name":"Vortex shedding","level":4,"score":0.7461543083190918},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.703029453754425},{"id":"https://openalex.org/C164466805","wikidata":"https://www.wikidata.org/wiki/Q2632607","display_name":"Parametric oscillator","level":2,"score":0.6746534109115601},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6661131978034973},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.6325985193252563},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.6230447292327881},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5888274908065796},{"id":"https://openalex.org/C48939323","wikidata":"https://www.wikidata.org/wiki/Q294879","display_name":"Wake","level":2,"score":0.5417054891586304},{"id":"https://openalex.org/C140820882","wikidata":"https://www.wikidata.org/wiki/Q732722","display_name":"Vortex","level":2,"score":0.522982120513916},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4763094186782837},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.4675542116165161},{"id":"https://openalex.org/C186068551","wikidata":"https://www.wikidata.org/wiki/Q13255585","display_name":"Tension (geology)","level":3,"score":0.44081056118011475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40945276618003845},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3842361569404602},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.22558218240737915},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.17132693529129028},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.15199068188667297},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11547327041625977},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1105794608592987},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09824088215827942},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.0},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127422501449","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501449","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":[],"awards":[{"id":"https://openalex.org/G1186503085","display_name":null,"funder_award_id":"12172166","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1503280692","display_name":"\u975e\u5149\u6ed1\u7cfb\u7edf\u5168\u5c40\u52a8\u529b\u5b66\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"11732014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1540102972","display_name":"\u9ad8\u7ef4\u9000\u5316\u5feb-\u6162\u53d8\u7cfb\u7edf\u52a8\u529b\u5b66\u53ca\u5728\u5145\u6db2\u6643\u52a8\u5bb9\u5668\u5185\u8868\u9762\u6ce2\u7814\u7a76\u4e2d\u7684\u5e94\u7528","funder_award_id":"11872201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5194564810","display_name":null,"funder_award_id":"11702111","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6923129441","display_name":null,"funder_award_id":"ZR2017BA031","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7763950431","display_name":null,"funder_award_id":"ZR2017QA005","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1797992516","https://openalex.org/W1979658800","https://openalex.org/W1988342484","https://openalex.org/W1990284371","https://openalex.org/W2002263781","https://openalex.org/W2002503470","https://openalex.org/W2007517680","https://openalex.org/W2012664206","https://openalex.org/W2045308943","https://openalex.org/W2060711624","https://openalex.org/W2061557751","https://openalex.org/W2083882522","https://openalex.org/W2109104527","https://openalex.org/W2137845939","https://openalex.org/W2170254912","https://openalex.org/W2185575738","https://openalex.org/W2188159051","https://openalex.org/W2287459329","https://openalex.org/W2341626098","https://openalex.org/W2462692418","https://openalex.org/W2469363212","https://openalex.org/W2491925291","https://openalex.org/W2588390581","https://openalex.org/W2774513748","https://openalex.org/W2791748638","https://openalex.org/W2800854562","https://openalex.org/W2810223713","https://openalex.org/W2899602548","https://openalex.org/W2916730633","https://openalex.org/W2955536951","https://openalex.org/W2997162787","https://openalex.org/W3036505574","https://openalex.org/W3193991882","https://openalex.org/W3198932950","https://openalex.org/W3206842070","https://openalex.org/W3211721448","https://openalex.org/W4224825429"],"related_works":["https://openalex.org/W1987253153","https://openalex.org/W782378384","https://openalex.org/W2389311770","https://openalex.org/W2787071414","https://openalex.org/W2329825843","https://openalex.org/W2195090591","https://openalex.org/W2898065082","https://openalex.org/W2374692951","https://openalex.org/W1518603801","https://openalex.org/W2089938907"],"abstract_inverted_index":{"A":[0],"coupled":[1],"model":[2],"of":[3,32,46,48,57,75,91,95,110,120,130,178,185,212,220,236,250,258,261,310],"a":[4,41,246],"top":[5],"tensioned":[6],"riser":[7],"(TTR)":[8],"under":[9,167],"combined":[10,151,214],"excitations":[11],"from":[12],"vortices":[13],"and":[14,97,157,223,274,292],"time-varying":[15,30],"tension":[16,239],"is":[17,25,68,148],"proposed.":[18],"And":[19],"the":[20,29,49,63,70,76,81,92,98,111,118,121,125,131,138,150,154,164,174,182,186,192,199,204,209,213,221,234,237,255,259,262,267,290,307],"van":[21],"der":[22],"Pol":[23],"oscillator":[24,100,225],"introduced":[26],"to":[27,117,198],"simulate":[28],"characteristics":[31,257],"vortex":[33,71],"shedding.":[34],"The":[35,145,301],"first":[36,93,122],"three":[37],"mode":[38],"approximations":[39],"as":[40,233,289],"six":[42,77,263],"degree-of-freedom":[43],"(DOF)":[44],"system":[45,52,179,265],"vibrations":[47,119,129],"fluid-structure":[50],"interaction":[51],"are":[53,59,101,114,171,195,277],"derived.":[54,115],"Two":[55],"cases":[56],"resonances":[58],"analyzed":[60],"by":[61,173],"using":[62],"numerical":[64],"method.":[65,176],"One":[66],"case":[67,147,200],"on":[69,149,191],"induced":[72],"vibration":[73],"(VIV)":[74],"DOF":[78,264],"system,":[79],"where":[80],"1-to-1":[82,155,205],"internal":[83,156,206],"resonance":[84,152,207,215],"(also":[85],"named":[86],"\u201clock-in\u201d":[87,126],"phenomenon)":[88],"between":[89,105,153],"frequencies":[90],"modes":[94,134],"structure":[96,222],"wake":[99,224],"investigated.":[102,196],"Bifurcation":[103],"curves":[104,162,194],"dynamic":[106,256],"responses":[107,219,242,260],"in":[108,137,208],"terms":[109],"shedding":[112,165,189,252],"frequency":[113,166,190,248],"Comparing":[116,197],"order":[123,133],"mode,":[124],"phenomenon":[127],"for":[128,279,297,306],"higher":[132],"can":[135,226,243,295,303],"occur":[136,244,296],"wider":[139],"parameter":[140,308],"range":[141],"with":[142],"large":[143,247],"values.":[144],"second":[146],"1-to-2":[158],"parametric":[159,187],"resonance.":[160],"Response":[161],"versus":[163],"different":[168,280,298],"amplitude":[169,183,235,281,299],"ratios":[170],"calculated":[172],"Runge\u2013Kutta":[175],"Effects":[177],"parameters":[180],"including":[181,266],"ratio":[184],"excitation,":[188],"response":[193],"when":[201],"only":[202],"considering":[203],"VIV,":[210],"results":[211],"show":[216],"those":[217],"large-amplitude":[218],"be":[227,304],"induced.":[228],"Responses":[229],"will":[230],"increase":[231],"rapidly":[232],"varying":[238],"increases.":[240],"Unstable":[241],"within":[245],"band":[249],"nondimensional":[251],"frequency.":[253],"Furthermore,":[254],"bifurcation":[268],"diagrams,":[269],"time":[270],"histories,":[271],"phase-plane":[272],"projection":[273],"Poincar\u00e9":[275],"sections":[276],"computed":[278],"ratios.":[282,300],"Results":[283],"indicate":[284],"that":[285],"complex":[286],"dynamics":[287],"such":[288],"quasi-periodic":[291],"chaotic":[293],"solutions":[294],"analysis":[302],"helpful":[305],"design":[309],"deep-water":[311],"risers.":[312]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
