{"id":"https://openalex.org/W3010224725","doi":"https://doi.org/10.3390/s20051370","title":"A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis","display_name":"A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis","publication_year":2020,"publication_date":"2020-03-02","ids":{"openalex":"https://openalex.org/W3010224725","doi":"https://doi.org/10.3390/s20051370","mag":"3010224725","pmid":"https://pubmed.ncbi.nlm.nih.gov/32131499"},"language":"en","primary_location":{"id":"doi:10.3390/s20051370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20051370","pdf_url":"https://www.mdpi.com/1424-8220/20/5/1370/pdf","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/1424-8220/20/5/1370/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050343451","display_name":"Xuhui Zhang","orcid":"https://orcid.org/0000-0002-5216-1362"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]},{"id":"https://openalex.org/I4210120144","display_name":"Beijing Jingshida Electromechanical Equipment Research Institute","ror":"https://ror.org/02vx4zx98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210120144"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuhui Zhang","raw_affiliation_strings":["College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China"],"raw_orcid":"https://orcid.org/0000-0002-5216-1362","affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I4210120144"]},{"raw_affiliation_string":"College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China","institution_ids":["https://openalex.org/I4210120144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110588410","display_name":"Meng Zuo","orcid":null},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Meng Zuo","raw_affiliation_strings":["College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","institution_ids":["https://openalex.org/I110440473"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101841025","display_name":"Wenjuan Yang","orcid":"https://orcid.org/0000-0001-6191-3725"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]},{"id":"https://openalex.org/I4210120144","display_name":"Beijing Jingshida Electromechanical Equipment Research Institute","ror":"https://ror.org/02vx4zx98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210120144"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjuan Yang","raw_affiliation_strings":["College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China","College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I4210120144"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China","institution_ids":["https://openalex.org/I4210120144"]},{"raw_affiliation_string":"College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","institution_ids":["https://openalex.org/I110440473"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022624345","display_name":"Xiang Wan","orcid":"https://orcid.org/0000-0002-4634-4277"},"institutions":[{"id":"https://openalex.org/I110440473","display_name":"Xi'an University of Science and Technology","ror":"https://ror.org/046fkpt18","country_code":"CN","type":"education","lineage":["https://openalex.org/I110440473"]},{"id":"https://openalex.org/I4210120144","display_name":"Beijing Jingshida Electromechanical Equipment Research Institute","ror":"https://ror.org/02vx4zx98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210120144"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang Wan","raw_affiliation_strings":["College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering, Xi\u2019an University of Science and Technology, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi\u2019an 710054, China","institution_ids":["https://openalex.org/I4210120144"]},{"raw_affiliation_string":"College of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China","institution_ids":["https://openalex.org/I110440473"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Mine Electromechanical Equipment Intelligent Monitoring, Xi'an 710054, China","institution_ids":["https://openalex.org/I4210120144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050343451","https://openalex.org/A5110588410"],"corresponding_institution_ids":["https://openalex.org/I110440473","https://openalex.org/I4210120144"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":2.5908,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.88861644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"20","issue":"5","first_page":"1370","last_page":"1370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11230","display_name":"Innovative Energy Harvesting Technologies","score":1.0,"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/T11230","display_name":"Innovative Energy Harvesting Technologies","score":1.0,"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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7809035778045654},{"id":"https://openalex.org/keywords/harmonic-balance","display_name":"Harmonic balance","score":0.6298199892044067},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6216629147529602},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.5862573385238647},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.5214254856109619},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.48264604806900024},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4346047043800354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42375773191452026},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.41777223348617554},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.4172735810279846},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4166394770145416},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3809238076210022},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3645762801170349},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.362579882144928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18580245971679688},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.14602193236351013},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.11471843719482422},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11201983690261841},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08026179671287537}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7809035778045654},{"id":"https://openalex.org/C121758426","wikidata":"https://www.wikidata.org/wiki/Q5659248","display_name":"Harmonic balance","level":3,"score":0.6298199892044067},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6216629147529602},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.5862573385238647},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.5214254856109619},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.48264604806900024},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4346047043800354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42375773191452026},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.41777223348617554},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.4172735810279846},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4166394770145416},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3809238076210022},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3645762801170349},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.362579882144928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18580245971679688},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.14602193236351013},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.11471843719482422},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11201983690261841},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08026179671287537},{"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/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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s20051370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20051370","pdf_url":"https://www.mdpi.com/1424-8220/20/5/1370/pdf","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:32131499","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32131499","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:6c15adb7795f4c718a2ec6a1fc935b3f","is_oa":true,"landing_page_url":"https://doaj.org/article/6c15adb7795f4c718a2ec6a1fc935b3f","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 20, Iss 5, p 1370 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/20/5/1370/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s20051370","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 20; Issue 5; Pages: 1370","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7085764","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7085764","pdf_url":null,"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"}],"best_oa_location":{"id":"doi:10.3390/s20051370","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20051370","pdf_url":"https://www.mdpi.com/1424-8220/20/5/1370/pdf","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[{"id":"https://openalex.org/G6594184960","display_name":null,"funder_award_id":"51974228","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7832933222","display_name":null,"funder_award_id":"2018ZDCXL-GY-06-04","funder_id":"https://openalex.org/F4320336350","funder_display_name":"Key Research and Development Projects of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336350","display_name":"Key Research and Development Projects of Shaanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3010224725.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1970299896","https://openalex.org/W1972687763","https://openalex.org/W1975395906","https://openalex.org/W2014610803","https://openalex.org/W2025364658","https://openalex.org/W2068649003","https://openalex.org/W2083513488","https://openalex.org/W2091194616","https://openalex.org/W2177294599","https://openalex.org/W2249451467","https://openalex.org/W2321321774","https://openalex.org/W2345272882","https://openalex.org/W2346945833","https://openalex.org/W2467457660","https://openalex.org/W2528442534","https://openalex.org/W2530768690","https://openalex.org/W2562510858","https://openalex.org/W2567182331","https://openalex.org/W2587753006","https://openalex.org/W2590345737","https://openalex.org/W2624141671","https://openalex.org/W2638296175","https://openalex.org/W2763578254","https://openalex.org/W2793893299","https://openalex.org/W2794326765","https://openalex.org/W2796652411","https://openalex.org/W2800343139","https://openalex.org/W2808555447","https://openalex.org/W2808952101","https://openalex.org/W2810948075","https://openalex.org/W2893160594","https://openalex.org/W2904674505","https://openalex.org/W2923713438","https://openalex.org/W2964724669","https://openalex.org/W2975126064","https://openalex.org/W2994019016","https://openalex.org/W2995371188","https://openalex.org/W4240729717"],"related_works":["https://openalex.org/W2071623546","https://openalex.org/W2947985572","https://openalex.org/W2990483082","https://openalex.org/W2381426581","https://openalex.org/W2024370140","https://openalex.org/W2945704773","https://openalex.org/W2159705349","https://openalex.org/W2105392727","https://openalex.org/W1992760310","https://openalex.org/W2081826635"],"abstract_inverted_index":{"To":[0],"reveal":[1,127],"the":[2,6,22,25,30,54,82,92,103,109,115,118,129,138,152,156,163,167,171,186,193],"nonlinear":[3,26,31,42,55],"mechanism":[4],"of":[5,94,108,117,131,140,155,192],"tri-stable":[7],"piezoelectric":[8],"vibration":[9],"energy":[10],"harvester":[11],"based":[12,69],"on":[13,21,70,102],"composite":[14,132],"shape":[15],"beam":[16,133],"(TPEH-C)":[17],"and":[18,29,36,53,91,98,106,137,170,189],"its":[19],"influence":[20,93],"system":[23],"response,":[24],"restoring":[27],"force":[28,33],"magnetic":[32,43],"are":[34,84,111],"discussed":[35],"analyzed":[37],"in":[38,177],"this":[39,178],"paper.":[40],"The":[41,64,125,175],"model":[44,57,68],"is":[45,58,121,143],"acquired":[46],"by":[47,60,123],"using":[48],"equivalent":[49],"magnetizing":[50],"current":[51],"theory,":[52],"resilience":[56],"obtained":[59],"fitting":[61],"experimental":[62],"data.":[63],"corresponding":[65],"distributed":[66],"parameter":[67],"generalized":[71],"Hamiltonian":[72],"variation":[73],"principle":[74],"has":[75],"been":[76],"established.":[77],"Frequency":[78],"response":[79,104,168],"functions":[80],"for":[81,185],"TPEH-C":[83,110,164],"derived":[85],"according":[86],"to":[87,150,165],"harmonic":[88],"balance":[89],"expansion,":[90],"different":[95,99],"magnet":[96,160],"distances":[97],"excitation":[100],"accelerations":[101],"amplitude":[105,169],"bandwidth":[107],"investigated.":[112],"More":[113],"importantly,":[114],"correctness":[116],"theoretical":[119,182],"analysis":[120],"verified":[122],"experiments.":[124],"results":[126,176],"that":[128],"spectrum":[130],"shows":[134],"hard":[135],"characteristic":[136],"depth":[139],"potential":[141,153],"well":[142,154],"changed,":[144],"which":[145],"provides":[146],"a":[147,181],"new":[148],"way":[149],"ameliorate":[151],"TPEH-C.":[157,194],"A":[158],"suitable":[159],"distance":[161],"enables":[162],"improve":[166],"effective":[172],"frequency":[173],"range.":[174],"paper":[179],"have":[180],"guiding":[183],"significance":[184],"optimal":[187],"design":[188],"engineering":[190],"application":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}