{"id":"https://openalex.org/W7213463582","doi":"https://doi.org/10.1007/s11071-026-13005-6","title":"Effect of elliptical profiles on the steady motions of loose rolling wheels","display_name":"Effect of elliptical profiles on the steady motions of loose rolling wheels","publication_year":2026,"publication_date":"2026-09-01","ids":{"openalex":"https://openalex.org/W7213463582","doi":"https://doi.org/10.1007/s11071-026-13005-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11071-026-13005-6","doi":"https://doi.org/10.1007/s11071-026-13005-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-026-13005-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-026-13005-6.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7213463582"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11071-026-13005-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012731750","display_name":"G\u00e1bor Kupi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I83579964","display_name":"Sz\u00e9chenyi Istv\u00e1n University","ror":"https://ror.org/04091f946","country_code":"HU","type":"education","lineage":["https://openalex.org/I83579964"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Gabor Kupi","raw_affiliation_strings":["Department of Applied Mechanics, Szechenyi Istvan University, Egyetem ter 1, 9026, Gyor, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mechanics, Szechenyi Istvan University, Egyetem ter 1, 9026, Gyor, Hungary","institution_ids":["https://openalex.org/I83579964"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043947900","display_name":"Mate Antali","orcid":"https://orcid.org/0000-0001-6750-0710","observed_orcids":["https://orcid.org/0000-0001-6750-0710"]},"institutions":[{"id":"https://openalex.org/I83579964","display_name":"Sz\u00e9chenyi Istv\u00e1n University","ror":"https://ror.org/04091f946","country_code":"HU","type":"education","lineage":["https://openalex.org/I83579964"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Mate Antali","raw_affiliation_strings":["Department of Applied Mechanics, Szechenyi Istvan University, Egyetem ter 1, 9026, Gyor, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mechanics, Szechenyi Istvan University, Egyetem ter 1, 9026, Gyor, Hungary","institution_ids":["https://openalex.org/I83579964"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043947900"],"corresponding_institution_ids":["https://openalex.org/I83579964"],"apc_list":{"value":4790,"currency":"USD","value_usd":4790},"apc_paid":{"value":4790,"currency":"USD","value_usd":4790},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"114","issue":"18","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9628999829292297,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9628999829292297,"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/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.012299999594688416,"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":0.011500000022351742,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rolling-wheel","display_name":"rolling wheel","score":0.6620000004768372},{"id":"https://openalex.org/keywords/steady-motion","display_name":"steady-state motion","score":0.7070000171661377},{"id":"https://openalex.org/keywords/bifurcation-analysis","display_name":"bifurcation analysis","score":0.6740000247955322},{"id":"https://openalex.org/keywords/stability-of-solutions","display_name":"stability of solutions","score":0.6769999861717224},{"id":"https://openalex.org/keywords/nonlinear-differential-equations","display_name":"nonlinear differential equations","score":0.7279999852180481},{"id":"https://openalex.org/keywords/vehicle-wheels","display_name":"vehicle wheels","score":0.597000002861023}],"concepts":[{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.7921000123023987},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6123999953269958},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48260000348091125},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.46050000190734863},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.45260000228881836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4375},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4284999966621399},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40880000591278076},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.40560001134872437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3917999863624573},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3806000053882599},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.35749998688697815},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.35510000586509705},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.35420000553131104},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.32710000872612},{"id":"https://openalex.org/C3018587665","wikidata":"https://www.wikidata.org/wiki/Q7268696","display_name":"Qualitative analysis","level":3,"score":0.2759999930858612},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2736000120639801},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.25380000472068787}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11071-026-13005-6","doi":"https://doi.org/10.1007/s11071-026-13005-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-026-13005-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-026-13005-6.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:247784","doi":null,"is_oa":true,"landing_page_url":"https://real.mtak.hu/247784/1/J18_KG_AM_NODY.pdf","pdf_url":"https://real.mtak.hu/247784/1/J18_KG_AM_NODY.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s11071-026-13005-6","doi":"https://doi.org/10.1007/s11071-026-13005-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11071-026-13005-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11071-026-13005-6.pdf","source":{"id":"https://openalex.org/S138681734","display_name":"Nonlinear Dynamics","issn_l":"0924-090X","issn":["0924-090X","1573-269X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Dynamics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G9000356126","display_name":null,"funder_award_id":"NKFI-150659","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"}],"funders":[{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320327742","display_name":"Sz\u00e9chenyi Istv\u00e1n Egyetem","ror":"https://ror.org/04091f946"},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213463582.pdf","grobid_xml":"https://content.openalex.org/works/W7213463582.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W59337189","https://openalex.org/W1970797032","https://openalex.org/W1974489517","https://openalex.org/W1994175759","https://openalex.org/W2019813423","https://openalex.org/W2041611474","https://openalex.org/W2078544271","https://openalex.org/W2085924091","https://openalex.org/W2129315317","https://openalex.org/W2147831411","https://openalex.org/W2211964046","https://openalex.org/W3163486418","https://openalex.org/W4245664640","https://openalex.org/W4248870788","https://openalex.org/W4290671610","https://openalex.org/W4384560510","https://openalex.org/W4390234998","https://openalex.org/W4400038575","https://openalex.org/W4401517841","https://openalex.org/W4403488803","https://openalex.org/W4414798724","https://openalex.org/W4415893822"],"related_works":["https://openalex.org/W4403488803","https://openalex.org/W1997562356","https://openalex.org/W2939479199","https://openalex.org/W1628921178","https://openalex.org/W833148032","https://openalex.org/W4400038575","https://openalex.org/W4390234998","https://openalex.org/W2050862600","https://openalex.org/W2055717430","https://openalex.org/W4300511431"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"the":[4,25,58,69,80,92,111,114,121,128,144],"model":[5],"of":[6,24,53,65,72,96,101,110,143],"a":[7,13,18,51],"rigid":[8,20],"wheel":[9,26,124],"is":[10,27],"analysed":[11],"with":[12,17,137],"pure":[14],"rolling":[15],"contact":[16],"horizontal":[19],"plane.":[21],"The":[22,45,82,98],"profile":[23,47],"assumed":[28],"to":[29,68,91,120,127],"be":[30,36,50],"an":[31],"ellipse,":[32],"which":[33],"shape":[34],"can":[35,48],"used":[37],"for":[38],"approximating":[39],"various":[40],"profiles":[41],"in":[42,57,79],"vehicle":[43],"wheels.":[44],"elliptic":[46],"still":[49],"basis":[52],"analytical":[54],"solution,":[55],"and":[56,75,89,125,141],"same":[59],"time,":[60],"includes":[61],"qualitatively":[62],"new":[63],"types":[64],"behaviour":[66],"compared":[67,90,119],"special":[70],"cases":[71,95],"thin":[73,123],"wheels":[74,77],"toroidal":[76,129],"known":[78,94],"literature.":[81],"full":[83],"nonlinear":[84],"differential":[85],"equations":[86],"are":[87,104,135],"derived":[88],"related":[93],"equations.":[97],"two-parametric":[99],"set":[100],"steady":[102],"motions":[103],"calculated.":[105],"We":[106],"show":[107],"that":[108],"because":[109],"elliptical":[112],"profile,":[113],"qualitative":[115],"dynamics":[116],"significantly":[117],"changes":[118],"classical":[122],"even":[126],"wheel.":[130],"Through":[131],"bifurcations,":[132],"four":[133],"scenarios":[134],"found":[136],"different":[138],"dynamical":[139],"behaviours":[140],"stability":[142],"solutions.":[145]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2026-09-17T00:00:00"}
