{"id":"https://openalex.org/W3108242360","doi":"https://doi.org/10.1109/tvt.2020.3040899","title":"Modeling of Complex Planetary Gear Sets Using Power-Oriented Graphs","display_name":"Modeling of Complex Planetary Gear Sets Using Power-Oriented Graphs","publication_year":2020,"publication_date":"2020-11-27","ids":{"openalex":"https://openalex.org/W3108242360","doi":"https://doi.org/10.1109/tvt.2020.3040899","mag":"3108242360"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2020.3040899","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2020.3040899","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/9334471/09272877.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/25/9334471/09272877.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053996788","display_name":"Roberto Zanasi","orcid":"https://orcid.org/0000-0001-5507-825X"},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Roberto Zanasi","raw_affiliation_strings":["Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006956998","display_name":"Davide Tebaldi","orcid":null},"institutions":[{"id":"https://openalex.org/I122346577","display_name":"University of Modena and Reggio Emilia","ror":"https://ror.org/02d4c4y02","country_code":"IT","type":"education","lineage":["https://openalex.org/I122346577"]},{"id":"https://openalex.org/I4210161797","display_name":"Ferrari (Italy)","ror":"https://ror.org/05p859a12","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210161797"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Davide Tebaldi","raw_affiliation_strings":["Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering \u201cEnzo Ferrari\u201d, University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577"]},{"raw_affiliation_string":"Department of Engineering \"Enzo Ferrari\", University of Modena and Reggio Emilia, Modena, MO, Italy","institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053996788"],"corresponding_institution_ids":["https://openalex.org/I122346577","https://openalex.org/I4210161797"],"apc_list":null,"apc_paid":null,"fwci":1.2195,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.79889451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"12","first_page":"14470","last_page":"14483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10808","display_name":"Electric and Hybrid Vehicle Technologies","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10808","display_name":"Electric and Hybrid Vehicle Technologies","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T12907","display_name":"Mechanical Engineering and Vibrations Research","score":0.9980000257492065,"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/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.996999979019165,"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/kinematics","display_name":"Kinematics","score":0.7265775799751282},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5818132162094116},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5326753854751587},{"id":"https://openalex.org/keywords/gear-train","display_name":"Gear train","score":0.4777740240097046},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4748675525188446},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.454243540763855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4206625819206238},{"id":"https://openalex.org/keywords/mechanical-system","display_name":"Mechanical system","score":0.41815364360809326},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.39863938093185425},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39263132214546204},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3802169859409332},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32825982570648193},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.21022778749465942},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.20205619931221008},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12973475456237793},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10146504640579224},{"id":"https://openalex.org/keywords/spiral-bevel-gear","display_name":"Spiral bevel gear","score":0.08366110920906067}],"concepts":[{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.7265775799751282},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5818132162094116},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5326753854751587},{"id":"https://openalex.org/C22486285","wikidata":"https://www.wikidata.org/wiki/Q2644088","display_name":"Gear train","level":3,"score":0.4777740240097046},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4748675525188446},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.454243540763855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4206625819206238},{"id":"https://openalex.org/C171912257","wikidata":"https://www.wikidata.org/wiki/Q11019","display_name":"Mechanical system","level":2,"score":0.41815364360809326},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.39863938093185425},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39263132214546204},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3802169859409332},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32825982570648193},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.21022778749465942},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.20205619931221008},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12973475456237793},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10146504640579224},{"id":"https://openalex.org/C136905703","wikidata":"https://www.wikidata.org/wiki/Q1641343","display_name":"Spiral bevel gear","level":2,"score":0.08366110920906067},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvt.2020.3040899","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2020.3040899","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/9334471/09272877.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},{"id":"pmh:oai:iris.unimore.it:11380/1223375","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/9272877","pdf_url":null,"source":{"id":"https://openalex.org/S4306400718","display_name":"IRIS UNIMORE (University of Modena and Reggio Emilia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122346577","host_organization_name":"University of Modena and Reggio Emilia","host_organization_lineage":["https://openalex.org/I122346577"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/tvt.2020.3040899","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2020.3040899","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/9334471/09272877.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3108242360.pdf","grobid_xml":"https://content.openalex.org/works/W3108242360.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1966106876","https://openalex.org/W1968209099","https://openalex.org/W2055453412","https://openalex.org/W2068638199","https://openalex.org/W2076925254","https://openalex.org/W2104391260","https://openalex.org/W2104975561","https://openalex.org/W2109475259","https://openalex.org/W2120432778","https://openalex.org/W2165156032","https://openalex.org/W2168287095","https://openalex.org/W2583880814","https://openalex.org/W2620881247","https://openalex.org/W2744238435","https://openalex.org/W2746953916","https://openalex.org/W2759265425","https://openalex.org/W2775324596","https://openalex.org/W2966936825","https://openalex.org/W2972244058","https://openalex.org/W2982674074","https://openalex.org/W2994883382","https://openalex.org/W7065182336"],"related_works":["https://openalex.org/W3001035009","https://openalex.org/W398302725","https://openalex.org/W2356013541","https://openalex.org/W2361383567","https://openalex.org/W4323904373","https://openalex.org/W2524934342","https://openalex.org/W2368724228","https://openalex.org/W1992847017","https://openalex.org/W2351136892","https://openalex.org/W2392784952"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,21,51,124,130],"systematic":[4],"approach":[5,18,119],"for":[6,25,38,60,70],"the":[7,27,33,56,66,71,80,84,88,98,110,117],"dynamic":[8,36],"modeling":[9],"of":[10,23,32,55,65,87,107],"complex":[11],"planetary":[12,40,90,126,132],"gear":[13,41,91,127,133],"sets":[14],"is":[15,47,74],"presented.":[16],"The":[17,63],"relies":[19],"upon":[20],"set":[22,92,128],"rules":[24],"building":[26],"system":[28,34],"matrices":[29],"and":[30,120,129],"vectors":[31],"full":[35],"model":[37,54],"any":[39],"set.":[42,134],"A":[43],"congruent":[44],"state-space":[45],"transformation":[46],"applied":[48],"to":[49,76],"obtain":[50],"reduced-order":[52,81,99],"rigid":[53,100],"system,":[57],"which":[58],"allows":[59],"faster":[61],"simulations.":[62],"behavior":[64],"tangential":[67],"forces":[68],"accounting":[69],"gears":[72],"interactions":[73],"proven":[75],"be":[77],"obtained":[78],"from":[79],"model.":[82,101],"Furthermore,":[83],"kinematic":[85],"relations":[86],"considered":[89],"are":[93,113],"automatically":[94],"generated":[95],"when":[96],"developing":[97],"As":[102],"an":[103],"example,":[104],"two":[105],"systems":[106],"interest":[108],"in":[109,122],"vehicle":[111],"industry":[112],"then":[114],"modeled":[115],"with":[116],"proposed":[118],"simulated":[121],"Matlab/Simulink:":[123],"Ravigneaux":[125],"double-stage":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}