{"id":"https://openalex.org/W2943270112","doi":"https://doi.org/10.1109/access.2019.2914138","title":"Stochastic Resonance in Unsaturated Piecewise Nonlinear Bistable System Under Multiplicative and Additive Noise for Bearing Fault Diagnosis","display_name":"Stochastic Resonance in Unsaturated Piecewise Nonlinear Bistable System Under Multiplicative and Additive Noise for Bearing Fault Diagnosis","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2943270112","doi":"https://doi.org/10.1109/access.2019.2914138","mag":"2943270112"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2914138","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2914138","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703050.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/ielx7/6287639/8600701/08703050.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004044503","display_name":"Gang Zhang","orcid":"https://orcid.org/0000-0001-5353-0476"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gang Zhang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001034172","display_name":"Dayun Hu","orcid":"https://orcid.org/0000-0003-2609-7886"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dayun Hu","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-2609-7886","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100425383","display_name":"Tianqi Zhang","orcid":"https://orcid.org/0000-0002-9116-040X"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianqi Zhang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004044503"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.8816,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.91365402,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":null,"first_page":"58435","last_page":"58448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13377","display_name":"Ecosystem dynamics and resilience","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.7864353656768799},{"id":"https://openalex.org/keywords/stochastic-resonance","display_name":"Stochastic resonance","score":0.7694336771965027},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.729224443435669},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6237735152244568},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6161112785339355},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.5231284499168396},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.49084335565567017},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.4651679992675781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38909533619880676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36031121015548706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20422285795211792},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1305752694606781},{"id":"https://openalex.org/keywords/signal-transfer-function","display_name":"Signal transfer function","score":0.12470641732215881},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.08972981572151184},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08749845623970032},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07327190041542053}],"concepts":[{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.7864353656768799},{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.7694336771965027},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.729224443435669},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6237735152244568},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6161112785339355},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.5231284499168396},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.49084335565567017},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.4651679992675781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38909533619880676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36031121015548706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20422285795211792},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1305752694606781},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.12470641732215881},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.08972981572151184},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08749845623970032},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07327190041542053},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2914138","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2914138","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703050.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:da153ebc2e464ddd9da9b10e900c7895","is_oa":true,"landing_page_url":"https://doaj.org/article/da153ebc2e464ddd9da9b10e900c7895","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 58435-58448 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2914138","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2914138","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703050.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/G281325732","display_name":null,"funder_award_id":"61771085","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6143866364","display_name":null,"funder_award_id":"61371164","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320310281","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666"},{"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/W2943270112.pdf","grobid_xml":"https://content.openalex.org/works/W2943270112.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1965995121","https://openalex.org/W1970132143","https://openalex.org/W1979143042","https://openalex.org/W1985177015","https://openalex.org/W1987039797","https://openalex.org/W1996421999","https://openalex.org/W2007074519","https://openalex.org/W2007221293","https://openalex.org/W2010059103","https://openalex.org/W2015333503","https://openalex.org/W2018628548","https://openalex.org/W2028119131","https://openalex.org/W2042548952","https://openalex.org/W2043586924","https://openalex.org/W2044450414","https://openalex.org/W2057704339","https://openalex.org/W2059349661","https://openalex.org/W2068501389","https://openalex.org/W2070461430","https://openalex.org/W2079483931","https://openalex.org/W2102750019","https://openalex.org/W2116967254","https://openalex.org/W2139095346","https://openalex.org/W2161973539","https://openalex.org/W2289671687","https://openalex.org/W2316826306","https://openalex.org/W2514268906","https://openalex.org/W2549469859","https://openalex.org/W2594265129","https://openalex.org/W2883254659","https://openalex.org/W2884073102","https://openalex.org/W2896909508","https://openalex.org/W2908467662","https://openalex.org/W3110888608","https://openalex.org/W4211019631","https://openalex.org/W4232585813"],"related_works":["https://openalex.org/W2077279412","https://openalex.org/W3194068200","https://openalex.org/W1986801519","https://openalex.org/W1985919881","https://openalex.org/W2023836090","https://openalex.org/W2122115108","https://openalex.org/W2010059103","https://openalex.org/W2151175965","https://openalex.org/W2014160433","https://openalex.org/W2229803460"],"abstract_inverted_index":{"With":[0],"regard":[1],"to":[2,27,116,161],"the":[3,6,56,62,71,84,87,90,101,107,137,141,155,162,168],"fault":[4,30,76,128,172],"diagnosis,":[5],"stochastic":[7],"resonance":[8],"(SR)":[9],"method":[10,158],"takes":[11],"advantage":[12],"of":[13,78,89,94,104,143,170],"noise":[14,26],"imbedded":[15],"in":[16,147],"vibration":[17,123],"signals":[18],"while":[19],"most":[20],"traditional":[21],"methods":[22,113],"suppress":[23],"or":[24],"eliminate":[25],"enhance":[28],"weak":[29],"characteristics.":[31,173],"In":[32],"this":[33],"paper,":[34],"a":[35],"novel":[36],"piecewise":[37,50],"nonlinear":[38,51],"bistable":[39,52,64,80],"SR":[40,81],"(PNBSR)":[41],"is":[42,96,134,159],"proposed":[43,156],"and":[44,98,109,125,145,167],"its":[45],"corresponding":[46],"potential":[47],"function":[48],"called":[49],"system":[53,65],"(PNBS)":[54],"overcomes":[55],"output":[57,68,91,102],"saturation":[58,69],"disadvantage":[59],"which":[60],"bothers":[61],"classical":[63,79],"(CBS).":[66],"The":[67,130,150],"limits":[70],"enhancement":[72],"capability":[73],"for":[74,139],"extracting":[75,171],"characteristics":[77],"(CBSR).":[82],"Satisfying":[83],"adiabatic":[85],"condition,":[86],"expression":[88],"signal-to-noise":[92],"(SNR)":[93],"PNBSR":[95,146,157],"derived":[97],"compared":[99],"with":[100],"SNR":[103,131],"CBSR.":[105],"Considered":[106],"multiplicative":[108],"additive":[110],"noise,":[111],"two":[112],"are":[114],"applied":[115],"extract":[117],"characteristic":[118],"frequency":[119],"from":[120],"simulated":[121],"harmonic":[122],"signal":[124],"actual":[126],"bearing":[127],"signals.":[129],"increase":[132],"(SNRI)":[133],"chosen":[135],"as":[136],"index":[138],"evaluating":[140],"performance":[142],"CBSR":[144,163],"experimental":[148],"simulations.":[149],"diagnosis":[151],"results":[152],"indicate":[153],"that":[154],"superior":[160],"by":[164],"analyzing":[165],"SNRI":[166],"effect":[169]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}
