{"id":"https://openalex.org/W4391403968","doi":"https://doi.org/10.3390/s24030927","title":"Compound Fault Characteristic Analysis for Fault Diagnosis of a Planetary Gear Train","display_name":"Compound Fault Characteristic Analysis for Fault Diagnosis of a Planetary Gear Train","publication_year":2024,"publication_date":"2024-01-31","ids":{"openalex":"https://openalex.org/W4391403968","doi":"https://doi.org/10.3390/s24030927","pmid":"https://pubmed.ncbi.nlm.nih.gov/38339647"},"language":"en","primary_location":{"id":"doi:10.3390/s24030927","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24030927","pdf_url":"https://www.mdpi.com/1424-8220/24/3/927/pdf?version=1706703352","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/24/3/927/pdf?version=1706703352","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yulin Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yulin Ren","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071812261","display_name":"Guoyan Li","orcid":"https://orcid.org/0000-0003-3224-2824"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoyan Li","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]},{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111110694","display_name":"Xiong Li","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiong Li","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006261789","display_name":"Jingbin Zhang","orcid":"https://orcid.org/0000-0003-2065-1823"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingbin Zhang","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039956645","display_name":"R.G. Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runjun Liu","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101299121","display_name":"Sifan Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sifan Shi","raw_affiliation_strings":["Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advance Transducers and Intelligent Control System, Ministry of Education, Taiyuan University of Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5071812261"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I9086337"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":1.4606,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7810799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"24","issue":"3","first_page":"927","last_page":"927"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11062","display_name":"Gear and Bearing Dynamics Analysis","score":0.9998999834060669,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9799000024795532,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9731000065803528,"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/eccentricity","display_name":"Eccentricity (behavior)","score":0.8133423924446106},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.6937941312789917},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6371430158615112},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.5182095170021057},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.4934941530227661},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.43226325511932373},{"id":"https://openalex.org/keywords/run-out","display_name":"Run-out","score":0.4249991774559021},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4171741008758545},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4078245759010315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35078921914100647},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1710820496082306},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.15707078576087952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09657719731330872},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09095725417137146},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.08596545457839966},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07092660665512085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0686677098274231}],"concepts":[{"id":"https://openalex.org/C190538878","wikidata":"https://www.wikidata.org/wiki/Q50013","display_name":"Eccentricity (behavior)","level":2,"score":0.8133423924446106},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.6937941312789917},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6371430158615112},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.5182095170021057},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.4934941530227661},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.43226325511932373},{"id":"https://openalex.org/C61097968","wikidata":"https://www.wikidata.org/wiki/Q17142046","display_name":"Run-out","level":2,"score":0.4249991774559021},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4171741008758545},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4078245759010315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35078921914100647},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1710820496082306},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.15707078576087952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09657719731330872},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09095725417137146},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.08596545457839966},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07092660665512085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0686677098274231},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/s24030927","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24030927","pdf_url":"https://www.mdpi.com/1424-8220/24/3/927/pdf?version=1706703352","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Sensors","raw_type":"journal-article"},{"id":"pmid:38339647","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38339647","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10857317","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10857317","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10857317/pdf/sensors-24-00927.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:eb7b1b1267d447bbb2c7632d749ff941","is_oa":true,"landing_page_url":"https://doaj.org/article/eb7b1b1267d447bbb2c7632d749ff941","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":"Sensors, Vol 24, Iss 3, p 927 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/s24030927","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24030927","pdf_url":"https://www.mdpi.com/1424-8220/24/3/927/pdf?version=1706703352","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"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":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G4574443544","display_name":null,"funder_award_id":"No. 51805354","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5072549736","display_name":null,"funder_award_id":"2020M673170","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G523603304","display_name":null,"funder_award_id":"51805354","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G5291175170","display_name":null,"funder_award_id":"202203021221087","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"},{"id":"https://openalex.org/G6103340673","display_name":null,"funder_award_id":"202203021221087","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7924534950","display_name":null,"funder_award_id":"51805354","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8341926786","display_name":null,"funder_award_id":"2020M673170","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G8931381249","display_name":null,"funder_award_id":"51805354","funder_id":"https://openalex.org/F4320322666","funder_display_name":"Natural Science Foundation of Shanxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322666","display_name":"Natural Science Foundation of Shanxi Province","ror":null},{"id":"https://openalex.org/F4320324098","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391403968.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1964329416","https://openalex.org/W1970480543","https://openalex.org/W1970686286","https://openalex.org/W2611503855","https://openalex.org/W2801171523","https://openalex.org/W2917353266","https://openalex.org/W2921362175","https://openalex.org/W2931035581","https://openalex.org/W2952534624","https://openalex.org/W3005429878","https://openalex.org/W3029347182","https://openalex.org/W3036548030","https://openalex.org/W3086943393","https://openalex.org/W3087004497","https://openalex.org/W3120651742","https://openalex.org/W3177353037","https://openalex.org/W4205133975","https://openalex.org/W4210940432","https://openalex.org/W4220975054","https://openalex.org/W4282962530","https://openalex.org/W4283699875","https://openalex.org/W4295808956","https://openalex.org/W4296270978","https://openalex.org/W4313244215","https://openalex.org/W4313479939","https://openalex.org/W4313703211"],"related_works":["https://openalex.org/W2355303787","https://openalex.org/W2369071738","https://openalex.org/W2015964678","https://openalex.org/W2014490091","https://openalex.org/W2375946167","https://openalex.org/W2357594833","https://openalex.org/W1880939572","https://openalex.org/W2383889908","https://openalex.org/W2065933435","https://openalex.org/W2376523010"],"abstract_inverted_index":{"The":[0,167],"carrier":[1,64,118],"eccentricity":[2,65,119],"error":[3,55,66,120],"and":[4,23,56,70,88,121,134],"gear":[5,18,97,123],"compound":[6,58,122,145,161,176],"faults":[7,22,42,59],"are":[8,25,128,140,152],"most":[9],"likely":[10],"to":[11,30,48,142,154],"occur":[12],"simultaneously":[13],"in":[14,44,60,182],"an":[15],"actual":[16],"planetary":[17],"train":[19],"(PGT).":[20],"Various":[21],"errors":[24],"coupled":[26],"with":[27,115],"each":[28],"other":[29],"generate":[31],"a":[32,61,63,113,172,180],"complex":[33],"dynamic":[34,110,135],"response,":[35],"which":[36],"makes":[37],"the":[38,50,54,57,73,78,92,95,102,109,117,131,138,144,157,160,164,175],"diagnosis":[39,178],"of":[40,53,83,94,112,137,150,159,179],"PGT":[41,114,139,181],"difficult":[43],"practice.":[45,183],"In":[46],"order":[47],"analyze":[49,156],"joint":[51],"effect":[52],"PGT,":[62],"model":[67,75,111],"is":[68,98],"proposed":[69],"incorporated":[71],"into":[72],"TVMS":[74,93],"by":[76],"considering":[77],"time-varying":[79],"center":[80],"distance,":[81],"line":[82],"action":[84],"(LOA),":[85],"meshing":[86,132],"angle,":[87],"contact":[89],"ratio.":[90],"Then,":[91],"cracked":[96],"derived":[99],"based":[100],"on":[101,163],"potential":[103],"energy":[104],"method.":[105],"On":[106],"this":[107],"basis,":[108],"both":[116],"cracks":[124],"as":[125],"internal":[126],"excitations":[127],"established.":[129],"Furthermore,":[130],"characteristics":[133],"responses":[136],"simulated":[141],"investigate":[143],"fault":[146,162,177],"features.":[147],"A":[148],"series":[149],"experiments":[151],"conducted":[153],"further":[155],"influence":[158],"vibration":[165],"response.":[166],"relevant":[168],"conclusions":[169],"can":[170],"provide":[171],"reference":[173],"for":[174]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}