{"id":"https://openalex.org/W2734420352","doi":"https://doi.org/10.3390/s17071621","title":"Effect of Distributed Mass on the Node, Frequency, and Sensitivity of Resonant-Mode Based Cantilevers","display_name":"Effect of Distributed Mass on the Node, Frequency, and Sensitivity of Resonant-Mode Based Cantilevers","publication_year":2017,"publication_date":"2017-07-13","ids":{"openalex":"https://openalex.org/W2734420352","doi":"https://doi.org/10.3390/s17071621","mag":"2734420352","pmid":"https://pubmed.ncbi.nlm.nih.gov/28703750"},"language":"en","primary_location":{"id":"doi:10.3390/s17071621","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s17071621","pdf_url":"https://www.mdpi.com/1424-8220/17/7/1621/pdf?version=1499950069","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/1424-8220/17/7/1621/pdf?version=1499950069","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100686952","display_name":"Kewei Zhang","orcid":"https://orcid.org/0000-0001-8974-8741"},"institutions":[{"id":"https://openalex.org/I46305995","display_name":"Taiyuan University of Science and Technology","ror":"https://ror.org/01wcbdc92","country_code":"CN","type":"education","lineage":["https://openalex.org/I46305995"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kewei Zhang","raw_affiliation_strings":["School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I46305995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051541291","display_name":"Qianke Zhu","orcid":"https://orcid.org/0000-0002-0675-7878"},"institutions":[{"id":"https://openalex.org/I46305995","display_name":"Taiyuan University of Science and Technology","ror":"https://ror.org/01wcbdc92","country_code":"CN","type":"education","lineage":["https://openalex.org/I46305995"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianke Zhu","raw_affiliation_strings":["School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I46305995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100676261","display_name":"Zhe Chen","orcid":"https://orcid.org/0000-0002-5902-4045"},"institutions":[{"id":"https://openalex.org/I46305995","display_name":"Taiyuan University of Science and Technology","ror":"https://ror.org/01wcbdc92","country_code":"CN","type":"education","lineage":["https://openalex.org/I46305995"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Chen","raw_affiliation_strings":["School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Materials Science and Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China","institution_ids":["https://openalex.org/I46305995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100686952"],"corresponding_institution_ids":["https://openalex.org/I46305995"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":0.5489,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68592387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"17","issue":"7","first_page":"1621","last_page":"1621"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11449","display_name":"Mechanical and Optical Resonators","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cantilever","display_name":"Cantilever","score":0.9084584712982178},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.8564138412475586},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.5866255164146423},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5839887857437134},{"id":"https://openalex.org/keywords/mass-distribution","display_name":"Mass distribution","score":0.5179570913314819},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5006029605865479},{"id":"https://openalex.org/keywords/resonance","display_name":"Resonance (particle physics)","score":0.487794429063797},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4768223166465759},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.46837788820266724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4653782248497009},{"id":"https://openalex.org/keywords/normal-mode","display_name":"Normal mode","score":0.4536527693271637},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4507928490638733},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43375566601753235},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.39019784331321716},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3849555253982544},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.35713475942611694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32760089635849},{"id":"https://openalex.org/keywords/atomic-physics","display_name":"Atomic physics","score":0.26185905933380127},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14864999055862427},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.12285536527633667},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10322615504264832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10014718770980835},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.10011443495750427}],"concepts":[{"id":"https://openalex.org/C141354745","wikidata":"https://www.wikidata.org/wiki/Q17227","display_name":"Cantilever","level":2,"score":0.9084584712982178},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.8564138412475586},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5866255164146423},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5839887857437134},{"id":"https://openalex.org/C134222618","wikidata":"https://www.wikidata.org/wiki/Q2713132","display_name":"Mass distribution","level":3,"score":0.5179570913314819},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5006029605865479},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.487794429063797},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4768223166465759},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.46837788820266724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4653782248497009},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.4536527693271637},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4507928490638733},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43375566601753235},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.39019784331321716},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3849555253982544},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.35713475942611694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32760089635849},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.26185905933380127},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14864999055862427},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.12285536527633667},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10322615504264832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10014718770980835},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.10011443495750427},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s17071621","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s17071621","pdf_url":"https://www.mdpi.com/1424-8220/17/7/1621/pdf?version=1499950069","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:28703750","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28703750","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:doaj.org/article:b5e221583315416481487ba9a9783c97","is_oa":true,"landing_page_url":"https://doaj.org/article/b5e221583315416481487ba9a9783c97","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 17, Iss 7, p 1621 (2017)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:4394264","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5539704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":null,"raw_type":"Text"},{"id":"pmh:oai:mdpi.com:/1424-8220/17/7/1621/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s17071621","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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; Volume 17; Issue 7; Pages: 1621","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s17071621","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s17071621","pdf_url":"https://www.mdpi.com/1424-8220/17/7/1621/pdf?version=1499950069","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":[],"awards":[{"id":"https://openalex.org/G8492487743","display_name":null,"funder_award_id":"2015021069","funder_id":"https://openalex.org/F4320326179","funder_display_name":"Shanxi Province Science Foundation for Youths"}],"funders":[{"id":"https://openalex.org/F4320326179","display_name":"Shanxi Province Science Foundation for Youths","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2734420352.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W281019272","https://openalex.org/W1748726074","https://openalex.org/W1969959993","https://openalex.org/W1996060732","https://openalex.org/W2003118049","https://openalex.org/W2025219878","https://openalex.org/W2030909670","https://openalex.org/W2033026503","https://openalex.org/W2055945004","https://openalex.org/W2060013977","https://openalex.org/W2062539714","https://openalex.org/W2075583507","https://openalex.org/W2085253914","https://openalex.org/W2087573326","https://openalex.org/W2091171993","https://openalex.org/W2134076734","https://openalex.org/W2157120701","https://openalex.org/W2192447012","https://openalex.org/W2313708135","https://openalex.org/W2335260128"],"related_works":["https://openalex.org/W2107125189","https://openalex.org/W2760996480","https://openalex.org/W2303727101","https://openalex.org/W1974010882","https://openalex.org/W2368223165","https://openalex.org/W2357307510","https://openalex.org/W2104720263","https://openalex.org/W1966104931","https://openalex.org/W2286084298","https://openalex.org/W2889334434"],"abstract_inverted_index":{"We":[0],"derived":[1],"an":[2,115],"analytical":[3],"expression":[4],"for":[5,127],"a":[6,59,105],"resonant-mode":[7,60],"based":[8,61],"bi-layered":[9],"cantilever":[10,80],"with":[11],"distributed":[12],"mass":[13,31,43,101,125,130],"load.":[14],"The":[15,37,86,119],"behavior":[16,99],"of":[17,19,50,58,100,107,114],"mode":[18],"vibration,":[20],"nodal":[21],"position,":[22],"frequency":[23],"shift,":[24],"as":[25,27,52,54,104,122],"well":[26,53],"sensitivity":[28,88,96,110,120],"under":[29],"different":[30],"load":[32,44,102,124,131],"distributions":[33],"was":[34],"theoretically":[35],"studied.":[36],"theoretical":[38],"results":[39],"suggested":[40],"that":[41],"asymmetric":[42],"distribution":[45],"leads":[46],"to":[47],"the":[48,55,79,83,92,98,108,112,123,128,134],"shift":[49],"nodes":[51],"sensitive":[56],"regions":[57],"cantilever.":[62],"n":[63,70],"\u2212":[64,71],"1":[65,72],"local":[66,73,94],"maximal":[67,87,95,109],"sensitivities":[68,75],"and":[69,97],"minimal":[74],"are":[76,137],"observed":[77],"when":[78],"vibrates":[81],"in":[82],"nth-order":[84],"resonance.":[85],"is":[89],"found":[90],"at":[91],"first":[93],"length":[103],"function":[106],"follows":[111],"rule":[113],"exponent":[116],"decaying":[117],"function.":[118],"increases":[121,126],"same":[129],"distribution,":[132],"but":[133],"corresponding":[135],"slopes":[136],"different.":[138]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}