{"id":"https://openalex.org/W4324088778","doi":"https://doi.org/10.3389/fams.2023.1115227","title":"From static buckling to nonlinear dynamics of circular rings","display_name":"From static buckling to nonlinear dynamics of circular rings","publication_year":2023,"publication_date":"2023-03-13","ids":{"openalex":"https://openalex.org/W4324088778","doi":"https://doi.org/10.3389/fams.2023.1115227"},"language":"en","primary_location":{"id":"doi:10.3389/fams.2023.1115227","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1115227","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1115227/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1115227/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071886150","display_name":"Enrico Babilio","orcid":"https://orcid.org/0000-0001-8308-4016"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrico Babilio","raw_affiliation_strings":["Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068177615","display_name":"Ida Mascolo","orcid":"https://orcid.org/0000-0003-4094-1668"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ida Mascolo","raw_affiliation_strings":["Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053511191","display_name":"Federico Guarracino","orcid":"https://orcid.org/0000-0001-7017-5170"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Guarracino","raw_affiliation_strings":["Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \u201cFederico II,\u201d Naples, Italy","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Department of Structures for Engineering and Architecture, University of Naples \"Federico II,\" Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068177615"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":0.3685,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52792933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"9","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.9972000122070312,"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/T11799","display_name":"Adhesion, Friction, and Surface Interactions","score":0.9697999954223633,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9685999751091003,"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/buckling","display_name":"Buckling","score":0.8649146556854248},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.619443416595459},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5034026503562927},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.45009973645210266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42738527059555054},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.35054534673690796},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.3482798933982849},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3202040493488312},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3164389729499817},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.29562538862228394}],"concepts":[{"id":"https://openalex.org/C85476182","wikidata":"https://www.wikidata.org/wiki/Q693104","display_name":"Buckling","level":2,"score":0.8649146556854248},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.619443416595459},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5034026503562927},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.45009973645210266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42738527059555054},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.35054534673690796},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.3482798933982849},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3202040493488312},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3164389729499817},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.29562538862228394},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3389/fams.2023.1115227","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1115227","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1115227/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:907c1c10333f4933ab9d6cf3bfb324e1","is_oa":true,"landing_page_url":"https://doaj.org/article/907c1c10333f4933ab9d6cf3bfb324e1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fams.2023.1115227","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fams.2023.1115227","pdf_url":"https://www.frontiersin.org/articles/10.3389/fams.2023.1115227/pdf","source":{"id":"https://openalex.org/S2597085352","display_name":"Frontiers in Applied Mathematics and Statistics","issn_l":"2297-4687","issn":["2297-4687"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Applied Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4324088778.pdf"},"referenced_works_count":81,"referenced_works":["https://openalex.org/W66121853","https://openalex.org/W594834889","https://openalex.org/W759604121","https://openalex.org/W767399830","https://openalex.org/W1530899079","https://openalex.org/W1536103813","https://openalex.org/W1594496878","https://openalex.org/W1965546043","https://openalex.org/W1966458013","https://openalex.org/W1980371323","https://openalex.org/W1982646028","https://openalex.org/W1983405826","https://openalex.org/W1988136866","https://openalex.org/W1992498264","https://openalex.org/W1997340369","https://openalex.org/W2002723995","https://openalex.org/W2003755412","https://openalex.org/W2011851355","https://openalex.org/W2012574122","https://openalex.org/W2019414202","https://openalex.org/W2019447905","https://openalex.org/W2020201306","https://openalex.org/W2022378924","https://openalex.org/W2033085543","https://openalex.org/W2033387235","https://openalex.org/W2034364709","https://openalex.org/W2042178434","https://openalex.org/W2048721955","https://openalex.org/W2053326297","https://openalex.org/W2054967884","https://openalex.org/W2058551688","https://openalex.org/W2060603240","https://openalex.org/W2062055558","https://openalex.org/W2062751155","https://openalex.org/W2064331996","https://openalex.org/W2067580282","https://openalex.org/W2072818912","https://openalex.org/W2079289559","https://openalex.org/W2082274592","https://openalex.org/W2083002136","https://openalex.org/W2084767825","https://openalex.org/W2085419618","https://openalex.org/W2086689276","https://openalex.org/W2087551208","https://openalex.org/W2091828042","https://openalex.org/W2093073038","https://openalex.org/W2107897609","https://openalex.org/W2115417278","https://openalex.org/W2119222192","https://openalex.org/W2122991268","https://openalex.org/W2129175268","https://openalex.org/W2145634267","https://openalex.org/W2156189428","https://openalex.org/W2192961385","https://openalex.org/W2239746742","https://openalex.org/W2329993963","https://openalex.org/W2330109671","https://openalex.org/W2332421556","https://openalex.org/W2345142640","https://openalex.org/W2356884708","https://openalex.org/W2484649321","https://openalex.org/W2510907394","https://openalex.org/W2566401394","https://openalex.org/W2587269893","https://openalex.org/W2604476622","https://openalex.org/W2769696273","https://openalex.org/W2810712073","https://openalex.org/W2907239113","https://openalex.org/W2960260311","https://openalex.org/W3003966877","https://openalex.org/W3090526162","https://openalex.org/W3127933716","https://openalex.org/W3142836859","https://openalex.org/W3145834777","https://openalex.org/W3149640912","https://openalex.org/W3217375294","https://openalex.org/W4246187166","https://openalex.org/W4280613332","https://openalex.org/W4308943898","https://openalex.org/W6663336835","https://openalex.org/W6673600445"],"related_works":["https://openalex.org/W2888968085","https://openalex.org/W2806277494","https://openalex.org/W2036608643","https://openalex.org/W3112949571","https://openalex.org/W2016724314","https://openalex.org/W2029839342","https://openalex.org/W1675890809","https://openalex.org/W181294392","https://openalex.org/W4232858424","https://openalex.org/W2376769151"],"abstract_inverted_index":{"The":[0,222],"dynamic":[1,281],"buckling":[2,93],"of":[3,52,90,113,126,144,163,194,198,207,215,228,232,236,248,265,279],"circular":[4,45],"rings":[5,114],"is":[6],"a":[7,12,138,141,216,229,241,255,260],"pervasive":[8],"instability":[9],"problem":[10],"with":[11,121,151],"major":[13],"impact":[14],"in":[15,87,130,155,168,173,189,225],"various":[16],"fields,":[17],"such":[18,259],"as":[19,35],"structural,":[20],"nuclear":[21],"and":[22,27,101,140,158,176,184,192,200,212,219,273],"offshore":[23],"engineering,":[24],"robotics,":[25],"electromechanics,":[26],"biomechanics.":[28],"This":[29],"phenomenon":[30],"may":[31,95],"be":[32,134],"simply":[33],"seen":[34],"the":[36,43,57,67,73,88,110,117,147,156,226,233,245,266,276],"complex":[37],"motion":[38],"that":[39,59,72,252],"occurs":[40],"deviating":[41],"from":[42,137],"original":[44],"shape":[46],"under,":[47],"for":[48,166,244],"instance,":[49],"any":[50],"kind":[51],"time-dependent":[53],"forcing":[54],"load.":[55],"Despite":[56],"fact":[58],"this":[60,131],"topic":[61],"has":[62],"progressively":[63],"gained":[64],"importance":[65],"since":[66,146],"mid-20th":[68],"century,":[69],"it":[70],"seems":[71],"same":[74],"points":[75],"have":[76],"not":[77],"been":[78],"made":[79],"completely":[80],"clear.":[81],"In":[82,258],"fact,":[83],"even":[84],"some":[85,262],"subtleties":[86],"derivation":[89],"classical":[91],"static":[92],"load":[94],"still":[96,115],"give":[97],"rise":[98],"to":[99,103,254],"misinterpretations":[100],"lead":[102],"misleading":[104],"results.":[105],"A":[106],"fortiori,":[107],"research":[108],"concerning":[109],"nonlinear":[111,246],"dynamics":[112,247],"suffers":[116],"inherent":[118,277],"difficulties":[119],"associated":[120],"different":[122],"possible":[123,263],"analytical":[124],"formulations":[125],"post-buckling":[127],"dynamics.":[128],"Advancement":[129],"respect":[132],"would":[133],"relevant,":[135],"both":[136],"theoretical":[139],"practical":[142],"point":[143],"view,":[145],"applications":[148,167],"are":[149,271],"endless,":[150],"countless":[152],"possibilities,":[153],"especially":[154],"biomedical":[157],"biotechnological":[159],"fields:":[160],"buckling-driven":[161],"transformations":[162],"thin-film":[164],"materials":[165],"electronic":[169],"microsystems,":[170],"self-excited":[171],"oscillations":[172,181],"collapsible":[174],"tubes":[175],"pliable":[177],"fluid-carrying":[178],"shells,":[179],"vocal-fold":[180],"during":[182,203],"phonation":[183],"snoring,":[185],"pulse":[186],"wave":[187],"propagation":[188],"arteries,":[190],"closure":[191],"reopening":[193],"pulmonary":[195],"airways,":[196],"stability":[197,206],"cardiac":[199],"venous":[201],"valves":[202],"vascular":[204],"surgery,":[205],"annuloplasty":[208],"devices,":[209],"flow-induced":[210],"deformation":[211],"ultimate":[213],"rupture":[214],"cerebral":[217],"aneurysm,":[218],"much":[220],"more.":[221],"present":[223],"article,":[224],"framework":[227],"critical":[230],"review":[231],"classic":[234],"formulation":[235],"elastic":[237,250],"ring":[238,251],"buckling,":[239],"proposes":[240],"straightforward":[242],"approach":[243],"an":[249],"leads":[253],"Mathieu\u2013Duffing":[256],"equation.":[257],"manner,":[261],"evolutions":[264],"system":[267],"under":[268],"pulsing":[269],"loads":[270],"analyzed":[272],"discussed,":[274],"showing":[275],"complexity":[278],"its":[280],"behavior.":[282]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
