{"id":"https://openalex.org/W2884073102","doi":"https://doi.org/10.1109/access.2018.2856620","title":"Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis","display_name":"Stochastic Resonance in Second-Order Underdamped System With Exponential Bistable Potential for Bearing Fault Diagnosis","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2884073102","doi":"https://doi.org/10.1109/access.2018.2856620","mag":"2884073102"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2856620","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2856620","pdf_url":null,"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://doi.org/10.1109/access.2018.2856620","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":["Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yijun Zhang","orcid":"https://orcid.org/0000-0003-0070-2523"},"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":"Yijun Zhang","raw_affiliation_strings":["Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-2523","affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100425383","display_name":"Tianqi Zhang","orcid":"https://orcid.org/0009-0002-4026-0555"},"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":["Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086004474","display_name":"Jiao Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I191879574","display_name":"Inha University","ror":"https://ror.org/01easw929","country_code":"KR","type":"education","lineage":["https://openalex.org/I191879574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jiao Xiao","raw_affiliation_strings":["Department of Electronic Engineering, Inha University, Incheon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Inha University, Incheon, South Korea","institution_ids":["https://openalex.org/I191879574"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":2.4585,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.89433198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"6","issue":null,"first_page":"42431","last_page":"42444"},"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":0.9937000274658203,"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":0.9269000291824341,"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/stochastic-resonance","display_name":"Stochastic resonance","score":0.9174179434776306},{"id":"https://openalex.org/keywords/bistability","display_name":"Bistability","score":0.750939667224884},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6374067068099976},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.48993462324142456},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4889344274997711},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.47048667073249817},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4523509442806244},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4372515380382538},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4252474009990692},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42079809308052063},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4124860167503357},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.369131863117218},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32180479168891907},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25425755977630615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20423105359077454},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09700065851211548},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07345768809318542}],"concepts":[{"id":"https://openalex.org/C207658827","wikidata":"https://www.wikidata.org/wiki/Q1999781","display_name":"Stochastic resonance","level":4,"score":0.9174179434776306},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.750939667224884},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6374067068099976},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.48993462324142456},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4889344274997711},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.47048667073249817},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4523509442806244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4372515380382538},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4252474009990692},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42079809308052063},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4124860167503357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.369131863117218},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32180479168891907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25425755977630615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20423105359077454},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09700065851211548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07345768809318542},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","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/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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2856620","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2856620","pdf_url":null,"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:e671065608e7473cba62a51754300603","is_oa":true,"landing_page_url":"https://doaj.org/article/e671065608e7473cba62a51754300603","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 6, Pp 42431-42444 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2856620","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2856620","pdf_url":null,"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/G2926930228","display_name":null,"funder_award_id":"61671095","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":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1946662492","https://openalex.org/W2006215150","https://openalex.org/W2010059103","https://openalex.org/W2010838384","https://openalex.org/W2019865729","https://openalex.org/W2028119131","https://openalex.org/W2035330855","https://openalex.org/W2044450414","https://openalex.org/W2069188448","https://openalex.org/W2087933578","https://openalex.org/W2088954730","https://openalex.org/W2090055793","https://openalex.org/W2102750019","https://openalex.org/W2116967254","https://openalex.org/W2143273443","https://openalex.org/W2316826306","https://openalex.org/W2407057790","https://openalex.org/W2462098588","https://openalex.org/W2514029715","https://openalex.org/W2514268906","https://openalex.org/W2549469859","https://openalex.org/W2594172423","https://openalex.org/W2594265129","https://openalex.org/W2594467130","https://openalex.org/W2771012250","https://openalex.org/W2774009806","https://openalex.org/W2784704503","https://openalex.org/W2791639745","https://openalex.org/W2791888083","https://openalex.org/W2799916891","https://openalex.org/W3111702263"],"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":{"Stochastic":[0],"resonance":[1],"(SR)":[2],"as":[3,140,188],"effective":[4],"approach":[5],"for":[6,113,146],"weak":[7],"signal":[8,17,185],"detection":[9],"has":[10,62],"been":[11],"widely":[12],"used":[13],"in":[14,183],"bearing":[15,165],"fault":[16,29,98,161,166,184,197],"diagnosis.":[18],"In":[19],"this":[20],"paper,":[21],"a":[22,42,47,141],"new":[23],"method":[24,155,176,182],"was":[25],"proposed":[26,154,174],"to":[27,96,158,179],"detect":[28,97,159],"signals,":[30],"which":[31,68],"consists":[32],"of":[33,65,76,108,128,138,143],"an":[34],"exponential":[35,83],"bistable":[36,59,91],"potential":[37,49,84,92],"model":[38,51],"generalized":[39],"by":[40,118],"using":[41],"harmonic":[43],"Potential":[44],"(HP)":[45],"model,":[46],"Gaussian":[48,119],"(GP)":[50],"and":[52,86,122,131,163,192],"second-order":[53],"underdamped":[54,80,87],"system.":[55],"As":[56],"the":[57,63,71,77,102,105,109,114,126,132,153,173,180],"classical":[58,90],"SR":[60,81,88],"(CBSR)":[61],"disadvantage":[64],"output":[66,190],"saturation,":[67],"will":[69],"suppress":[70],"optimal":[72],"signal-to-noise":[73],"ratio":[74],"(SNR)":[75],"system,":[78],"therefore,":[79],"with":[82,89],"(UESR)":[85],"(UCSR)":[93],"are":[94,149],"applied":[95,157],"signal,":[99],"respectively.":[100,151],"Under":[101],"adiabatic":[103],"condition,":[104],"analytical":[106,136],"expression":[107,137],"SNR":[110,139,191],"is":[111,156,177],"calculated":[112],"UESR":[115,175],"system":[116,129],"driven":[117],"white":[120],"noise":[121,144],"periodic":[123],"signal.":[124],"Then,":[125],"effects":[127],"parameters":[130,148],"damping":[133],"factor":[134],"on":[135],"function":[142],"intensity":[145],"different":[147],"studied,":[150],"Finally,":[152],"simulated":[160],"signals":[162],"actual":[164],"signals.":[167],"The":[168],"experimental":[169],"results":[170],"show":[171],"that":[172],"superior":[178],"UCSR":[181],"diagnosis,":[186],"such":[187],"larger":[189],"higher":[193],"spectrum":[194],"peaks":[195],"at":[196],"characteristic":[198],"frequencies.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
