{"id":"https://openalex.org/W4311961135","doi":"https://doi.org/10.3390/app122412573","title":"Natural Characteristics Analysis of a Dual-Rotor System with Nonparametric Uncertainty","display_name":"Natural Characteristics Analysis of a Dual-Rotor System with Nonparametric Uncertainty","publication_year":2022,"publication_date":"2022-12-08","ids":{"openalex":"https://openalex.org/W4311961135","doi":"https://doi.org/10.3390/app122412573"},"language":"en","primary_location":{"id":"doi:10.3390/app122412573","doi":"https://doi.org/10.3390/app122412573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app122412573","pdf_url":"https://www.mdpi.com/2076-3417/12/24/12573/pdf?version=1670491561","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","oarl","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2076-3417/12/24/12573/pdf?version=1670491561","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hangfei Wu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hangfei Wu","raw_affiliation_strings":["Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I36152291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023173745","display_name":"Baoguo Liu","orcid":"https://orcid.org/0000-0002-0928-7023","observed_orcids":["https://orcid.org/0000-0002-0928-7023"]},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Baoguo Liu","raw_affiliation_strings":["Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I36152291"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112521470","display_name":"Yanxu Liu","orcid":"https://orcid.org/0000-0002-2617-9550","observed_orcids":["https://orcid.org/0000-0002-2617-9550"]},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanxu Liu","raw_affiliation_strings":["Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I36152291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036194995","display_name":"Wei Feng","orcid":"https://orcid.org/0000-0003-3115-8292","observed_orcids":["https://orcid.org/0000-0003-3115-8292"]},"institutions":[{"id":"https://openalex.org/I36152291","display_name":"Henan University of Technology","ror":"https://ror.org/05sbgwt55","country_code":"CN","type":"education","lineage":["https://openalex.org/I36152291"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Feng","raw_affiliation_strings":["Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China"],"raw_orcid":"https://orcid.org/0000-0003-3115-8292","affiliations":[{"raw_affiliation_string":"Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou 450001, China","institution_ids":[]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Henan University of Technology, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I36152291"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023173745"],"corresponding_institution_ids":["https://openalex.org/I36152291"],"apc_list":{"value":2300,"currency":"CHF","value_usd":2408},"apc_paid":{"value":2300,"currency":"CHF","value_usd":2408},"fwci":0.89,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.60931034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"12","issue":"24","first_page":"12573","last_page":"12573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.5849999785423279,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.5849999785423279,"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":0.19089999794960022,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.05689999833703041,"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/dual-rotor-system","display_name":"dual-rotor system","score":0.9950000047683716},{"id":"https://openalex.org/keywords/natural-features","display_name":"natural features","score":0.7850000262260437},{"id":"https://openalex.org/keywords/nonparametric-uncertainty","display_name":"nonparametric uncertainty","score":0.9679999947547913},{"id":"https://openalex.org/keywords/parameter-uncertainty","display_name":"parameter uncertainty","score":0.9800000190734863},{"id":"https://openalex.org/keywords/random-matrix-theory","display_name":"random matrix theory","score":0.9449999928474426},{"id":"https://openalex.org/keywords/maximum-entropy-principle","display_name":"maximum entropy principle","score":0.9430000185966492}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.9038485288619995},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4622141718864441},{"id":"https://openalex.org/C17281054","wikidata":"https://www.wikidata.org/wiki/Q193466","display_name":"Rotor (electric)","level":2,"score":0.4557464122772217},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.43468931317329407},{"id":"https://openalex.org/C137209882","wikidata":"https://www.wikidata.org/wiki/Q1403517","display_name":"Measurement uncertainty","level":2,"score":0.4283943176269531},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42825210094451904},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.42360007762908936},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4153209626674652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3938213884830475},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.393228679895401},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34599965810775757},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.24311858415603638},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22911721467971802},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16511094570159912},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08243662118911743},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/app122412573","doi":"https://doi.org/10.3390/app122412573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app122412573","pdf_url":"https://www.mdpi.com/2076-3417/12/24/12573/pdf?version=1670491561","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","oarl","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d144e6e0657a4eddaf621fb0672a5572","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/d144e6e0657a4eddaf621fb0672a5572","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,"listed_in":[],"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":"Applied Sciences, Vol 12, Iss 24, p 12573 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/app122412573","doi":"https://doi.org/10.3390/app122412573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/app122412573","pdf_url":"https://www.mdpi.com/2076-3417/12/24/12573/pdf?version=1670491561","source":{"id":"https://openalex.org/S4210205812","display_name":"Applied Sciences","issn_l":"2076-3417","issn":["2076-3417"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","norway-1","oarl","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G5665335141","display_name":"\u6a21\u578b\u4e0d\u786e\u5b9a\u8f6c\u5b50\u7cfb\u7edf\u7684\u975e\u53c2\u6570\u968f\u673a\u52a8\u529b\u5b66\u5efa\u6a21\u53ca\u5206\u6790\u65b9\u6cd5\u7814\u7a76","funder_award_id":"12072106","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4311961135.pdf","grobid_xml":"https://content.openalex.org/works/W4311961135.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W637966666","https://openalex.org/W1966994088","https://openalex.org/W1971706506","https://openalex.org/W1973335304","https://openalex.org/W1973551326","https://openalex.org/W1997969642","https://openalex.org/W2003191951","https://openalex.org/W2016178143","https://openalex.org/W2031949100","https://openalex.org/W2042304649","https://openalex.org/W2060896856","https://openalex.org/W2084433205","https://openalex.org/W2092315755","https://openalex.org/W2111959010","https://openalex.org/W2230141848","https://openalex.org/W2328743423","https://openalex.org/W2392727732","https://openalex.org/W2793596711","https://openalex.org/W2911968925","https://openalex.org/W2954685436","https://openalex.org/W3023018527","https://openalex.org/W3196782163","https://openalex.org/W3202213709","https://openalex.org/W4205403385","https://openalex.org/W4205412017","https://openalex.org/W4231981388","https://openalex.org/W4283212809","https://openalex.org/W4289883619","https://openalex.org/W4388439178"],"related_works":["https://openalex.org/W4283212809","https://openalex.org/W4387501101","https://openalex.org/W7030487792","https://openalex.org/W3023018527","https://openalex.org/W4412643158","https://openalex.org/W4411780489","https://openalex.org/W7125431045","https://openalex.org/W2803434789","https://openalex.org/W7097774854","https://openalex.org/W2009285530"],"abstract_inverted_index":{"In":[0,31],"order":[1],"to":[2,56,67],"evaluate":[3],"the":[4,13,44,49,69,73,76,85,89,95,104,116,121,142,156],"impacts":[5,77],"of":[6,16,72,78,119,123,132,137,144,148,158],"parameter":[7,79,133],"uncertainty":[8,11,80,83,125],"and":[9,48,81,93,103,161],"nonparametric":[10,21,35,62,82,124],"on":[12,25,43,84],"natural":[14,70,86],"characteristics":[15,71,87],"a":[17,20,34,58,152],"dual-rotor":[18,59,160],"system,":[19],"probabilistic":[22],"method":[23],"based":[24,42],"random":[26,50],"matrix":[27,51],"theory":[28],"is":[29,40,54,126],"proposed.":[30],"this":[32,149],"paper,":[33],"Riccati":[36],"whole":[37],"transfer":[38],"model":[39,57],"derived":[41],"maximum":[45],"entropy":[46],"principle":[47],"theory.":[52],"It":[53],"used":[55],"system":[60],"with":[61,108,141],"uncertainty,":[63],"as":[64,66],"well":[65],"calculate":[68],"system.":[74],"Furthermore,":[75],"at":[88,94,115],"intermediate":[90],"support":[91],"element":[92,97],"disk-shaft":[96],"are":[98,106],"discussed":[99],"using":[100],"numerical":[101],"simulations,":[102],"results":[105,112,147],"compared":[107],"related":[109],"references.":[110],"The":[111,135,146],"show":[113],"that":[114,131],"same":[117],"level":[118,143],"uncertainties,":[120],"effect":[122],"often":[127],"more":[128],"significant":[129],"than":[130],"uncertainty.":[134],"effects":[136],"uncertainties":[138],"also":[139],"increase":[140],"uncertainties.":[145],"paper":[150],"provide":[151],"theoretical":[153],"basis":[154],"for":[155],"design":[157],"uncertain":[159],"multi-rotor":[162],"systems.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2023-01-03T00:00:00"}
