{"id":"https://openalex.org/W2931819295","doi":"https://doi.org/10.1109/access.2019.2909300","title":"Application of Parameter Optimized Variational Mode Decomposition Method in Fault Diagnosis of Gearbox","display_name":"Application of Parameter Optimized Variational Mode Decomposition Method in Fault Diagnosis of Gearbox","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2931819295","doi":"https://doi.org/10.1109/access.2019.2909300","mag":"2931819295"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2909300","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2909300","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08681549.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08681549.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100453835","display_name":"Zhijian Wang","orcid":"https://orcid.org/0000-0002-6794-2065"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhijian Wang","raw_affiliation_strings":["College of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","College of Mechanical Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-6794-2065","affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"College of Mechanical Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101694958","display_name":"Gaofeng He","orcid":"https://orcid.org/0000-0002-5493-6440"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gaofeng He","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008823219","display_name":"Wenhua Du","orcid":"https://orcid.org/0000-0002-1713-2830"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenhua Du","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020405656","display_name":"Jie Zhou","orcid":"https://orcid.org/0000-0001-9335-9597"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhou","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100655104","display_name":"Xiaofeng Han","orcid":"https://orcid.org/0000-0003-2872-1363"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofeng Han","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071649158","display_name":"Wang Jingtai","orcid":"https://orcid.org/0000-0002-5168-9747"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingtai Wang","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101480114","display_name":"Huihui He","orcid":"https://orcid.org/0000-0002-4236-8634"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huihui He","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101652353","display_name":"Xiaoming Guo","orcid":"https://orcid.org/0000-0002-4455-9020"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoming Guo","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101478619","display_name":"Junyuan Wang","orcid":"https://orcid.org/0000-0002-7121-292X"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junyuan Wang","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085714640","display_name":"Yanfei Kou","orcid":"https://orcid.org/0000-0003-2461-9863"},"institutions":[{"id":"https://openalex.org/I135714990","display_name":"North University of China","ror":"https://ror.org/047bp1713","country_code":"CN","type":"education","lineage":["https://openalex.org/I135714990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanfei Kou","raw_affiliation_strings":["College of Mechanical Engineering, North University of China, Taiyuan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, North University of China, Taiyuan, China","institution_ids":["https://openalex.org/I135714990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5100453835"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":19.9023,"has_fulltext":true,"cited_by_count":190,"citation_normalized_percentile":{"value":0.9963267,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"44871","last_page":"44882"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9994000196456909,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9994000196456909,"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":0.9937000274658203,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9934999942779541,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6841812133789062},{"id":"https://openalex.org/keywords/hilbert\u2013huang-transform","display_name":"Hilbert\u2013Huang transform","score":0.670932412147522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5539407730102539},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5320091247558594},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5316841006278992},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5297577977180481},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.5012657642364502},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.47636839747428894},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.44143643975257874},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4275386333465576},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3607819676399231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2954663038253784},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.25770705938339233},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17663079500198364}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6841812133789062},{"id":"https://openalex.org/C25570617","wikidata":"https://www.wikidata.org/wiki/Q1006462","display_name":"Hilbert\u2013Huang transform","level":3,"score":0.670932412147522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5539407730102539},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5320091247558594},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5316841006278992},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5297577977180481},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.5012657642364502},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.47636839747428894},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.44143643975257874},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4275386333465576},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3607819676399231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2954663038253784},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.25770705938339233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17663079500198364},{"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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2909300","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2909300","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08681549.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:845ae29d818549f9a88d7970da6ec68e","is_oa":true,"landing_page_url":"https://doaj.org/article/845ae29d818549f9a88d7970da6ec68e","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":"IEEE Access, Vol 7, Pp 44871-44882 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2909300","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2909300","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08681549.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1997883648","display_name":null,"funder_award_id":"201801D121187","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G2393222597","display_name":null,"funder_award_id":"2017004","funder_id":"https://openalex.org/F4320324776","funder_display_name":"North University of China"},{"id":"https://openalex.org/G3417273863","display_name":null,"funder_award_id":"201601D102035","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G4184954518","display_name":null,"funder_award_id":"201801D121186","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G6207217209","display_name":null,"funder_award_id":"201801D221237","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G6472682533","display_name":null,"funder_award_id":"2017004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G669764412","display_name":null,"funder_award_id":"XJJ201802","funder_id":"https://openalex.org/F4320324776","funder_display_name":"North University of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null},{"id":"https://openalex.org/F4320324776","display_name":"North University of China","ror":"https://ror.org/047bp1713"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2931819295.pdf","grobid_xml":"https://content.openalex.org/works/W2931819295.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W775357307","https://openalex.org/W939691211","https://openalex.org/W1504193025","https://openalex.org/W1965575282","https://openalex.org/W1967220039","https://openalex.org/W2000982976","https://openalex.org/W2014540231","https://openalex.org/W2045001586","https://openalex.org/W2165171393","https://openalex.org/W2519348275","https://openalex.org/W2551873455","https://openalex.org/W2582662555","https://openalex.org/W2591732941","https://openalex.org/W2593044082","https://openalex.org/W2766133347","https://openalex.org/W2771081342","https://openalex.org/W2777458568","https://openalex.org/W2791125525","https://openalex.org/W2792911083","https://openalex.org/W2799800773","https://openalex.org/W2800599679","https://openalex.org/W2887443913","https://openalex.org/W2891836028","https://openalex.org/W2895876294","https://openalex.org/W2896114995","https://openalex.org/W2898149957","https://openalex.org/W2902502497","https://openalex.org/W2904378338","https://openalex.org/W2911827809","https://openalex.org/W2917838345","https://openalex.org/W2920810181"],"related_works":["https://openalex.org/W2090178682","https://openalex.org/W2001591765","https://openalex.org/W4241467429","https://openalex.org/W2073147994","https://openalex.org/W2384474142","https://openalex.org/W3083133203","https://openalex.org/W1588199609","https://openalex.org/W2744462909","https://openalex.org/W1971520370","https://openalex.org/W1550055091"],"abstract_inverted_index":{"The":[0,19,56,130,144],"selection":[1],"of":[2,42,53,89,121,146],"variational":[3],"mode":[4,73,158],"decomposition":[5,159],"(VMD)":[6],"parameters":[7,41,123],"usually":[8],"adopts":[9],"the":[10,24,40,49,54,87,94,105,114,118,137,147,155],"empirical":[11,157],"method,":[12,14],"trial-and-error":[13],"or":[15],"single-objective":[16],"optimization":[17,33],"method.":[18],"above-mentioned":[20],"method":[21,149],"cannot":[22],"achieve":[23],"global":[25],"optimal":[26,108,119],"effect.":[27],"Therefore,":[28,93],"a":[29],"multi-objective":[30],"particle":[31],"swarm":[32],"(MOPSO)":[34],"algorithm":[35],"is":[36,46,111,126,133,150],"proposed":[37,148],"to":[38,48,78,135],"optimize":[39],"VMD,":[43],"and":[44,70,75,96,103,140],"it":[45],"applied":[47],"composite":[50],"fault":[51,80,142],"diagnosis":[52],"gearbox.":[55],"specific":[57],"steps":[58],"are:":[59],"first,":[60],"symbol":[61],"dynamic":[62],"entropy":[63,84],"(SDE)":[64],"can":[65],"effectively":[66],"remove":[67],"background":[68],"noise,":[69],"use":[71],"state":[72,76],"probability":[74],"transition":[77],"preserve":[79],"information.":[81],"Power":[82],"spectral":[83],"(PSE)":[85],"reflects":[86],"complexity":[88],"signal":[90,139],"frequency":[91],"composition.":[92],"SDE":[95],"PSE":[97],"are":[98],"selected":[99],"as":[100],"fitness":[101],"functions":[102],"then":[104],"Pareto":[106],"frontier":[107],"solution":[109],"set":[110],"obtained":[112,127],"by":[113,128,152],"MOPSO":[115],"algorithm.":[116],"Finally,":[117],"combination":[120],"VMD":[122,132],"(k,":[124],"a)":[125],"normalization.":[129],"improved":[131],"used":[134],"analyze":[136],"simulation":[138],"gearbox":[141],"signal.":[143],"effectiveness":[145],"verified":[151],"comparing":[153],"with":[154],"ensemble":[156],"(EEMD).":[160]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":30},{"year":2019,"cited_by_count":40}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}