{"id":"https://openalex.org/W4290756003","doi":"https://doi.org/10.3390/s22155854","title":"A Comparative Study of Parameter Identification Methods for Asymmetric Nonlinear Systems with Quadratic and Cubic Stiffness","display_name":"A Comparative Study of Parameter Identification Methods for Asymmetric Nonlinear Systems with Quadratic and Cubic Stiffness","publication_year":2022,"publication_date":"2022-08-05","ids":{"openalex":"https://openalex.org/W4290756003","doi":"https://doi.org/10.3390/s22155854","pmid":"https://pubmed.ncbi.nlm.nih.gov/35957411"},"language":"en","primary_location":{"id":"doi:10.3390/s22155854","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22155854","pdf_url":"https://www.mdpi.com/1424-8220/22/15/5854/pdf?version=1659692786","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/1424-8220/22/15/5854/pdf?version=1659692786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052430089","display_name":"Shibo Wang","orcid":"https://orcid.org/0000-0003-3950-3150"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shibo Wang","raw_affiliation_strings":["Institute of Internal Combustion Engine, Dalian University of Technology, Dalian 116023, China","Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, Dalian 116023, China"],"raw_orcid":"https://orcid.org/0000-0003-3950-3150","affiliations":[{"raw_affiliation_string":"Institute of Internal Combustion Engine, Dalian University of Technology, Dalian 116023, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, Dalian 116023, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091618407","display_name":"Bin Tang","orcid":"https://orcid.org/0000-0002-4882-6659"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Tang","raw_affiliation_strings":["Institute of Internal Combustion Engine, Dalian University of Technology, Dalian 116023, China","Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, Dalian 116023, China"],"raw_orcid":"https://orcid.org/0000-0002-4882-6659","affiliations":[{"raw_affiliation_string":"Institute of Internal Combustion Engine, Dalian University of Technology, Dalian 116023, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, Dalian 116023, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091618407"],"corresponding_institution_ids":["https://openalex.org/I27357992"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":0.4611,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.59170881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"15","first_page":"5854","last_page":"5854"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9962999820709229,"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"}},"topics":[{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9962999820709229,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.991100013256073,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9588000178337097,"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/nonlinear-system","display_name":"Nonlinear system","score":0.7658731937408447},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5784142017364502},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.5145451426506042},{"id":"https://openalex.org/keywords/stiffness","display_name":"Stiffness","score":0.5093956589698792},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.5086430311203003},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4806039035320282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46990200877189636},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.4410299062728882},{"id":"https://openalex.org/keywords/restoring-force","display_name":"Restoring force","score":0.42688706517219543},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.4259883165359497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4057108461856842},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36555466055870056},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2297380268573761},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19991686940193176},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.17743948101997375},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17739257216453552},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13430771231651306},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.0852288007736206}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7658731937408447},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5784142017364502},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.5145451426506042},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.5093956589698792},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5086430311203003},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4806039035320282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46990200877189636},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.4410299062728882},{"id":"https://openalex.org/C175853643","wikidata":"https://www.wikidata.org/wiki/Q1185557","display_name":"Restoring force","level":2,"score":0.42688706517219543},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.4259883165359497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4057108461856842},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36555466055870056},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2297380268573761},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19991686940193176},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.17743948101997375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17739257216453552},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13430771231651306},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0852288007736206},{"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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D014732","descriptor_name":"Vibration","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014732","descriptor_name":"Vibration","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014732","descriptor_name":"Vibration","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D055595","descriptor_name":"Mechanical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055595","descriptor_name":"Mechanical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055595","descriptor_name":"Mechanical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.3390/s22155854","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22155854","pdf_url":"https://www.mdpi.com/1424-8220/22/15/5854/pdf?version=1659692786","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:35957411","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35957411","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:eedccc4b25e549a7815191b7e0655693","is_oa":true,"landing_page_url":"https://doaj.org/article/eedccc4b25e549a7815191b7e0655693","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 22, Iss 15, p 5854 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/22/15/5854/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s22155854","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 22; Issue 15; Pages: 5854","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9370915","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9370915","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/s22155854","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22155854","pdf_url":"https://www.mdpi.com/1424-8220/22/15/5854/pdf?version=1659692786","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":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4290756003.pdf","grobid_xml":"https://content.openalex.org/works/W4290756003.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1733229080","https://openalex.org/W1970747459","https://openalex.org/W1972125873","https://openalex.org/W1987944155","https://openalex.org/W1988878180","https://openalex.org/W1991946919","https://openalex.org/W1994766829","https://openalex.org/W2000339543","https://openalex.org/W2000905373","https://openalex.org/W2006816577","https://openalex.org/W2012930766","https://openalex.org/W2019177163","https://openalex.org/W2028497691","https://openalex.org/W2038967704","https://openalex.org/W2043582954","https://openalex.org/W2043805114","https://openalex.org/W2052236064","https://openalex.org/W2053342603","https://openalex.org/W2055236006","https://openalex.org/W2060580180","https://openalex.org/W2063475197","https://openalex.org/W2082072256","https://openalex.org/W2085877904","https://openalex.org/W2088459374","https://openalex.org/W2092033566","https://openalex.org/W2162818039","https://openalex.org/W2164847051","https://openalex.org/W2193453414","https://openalex.org/W2232813857","https://openalex.org/W2239470375","https://openalex.org/W2274452261","https://openalex.org/W2291295292","https://openalex.org/W2297691830","https://openalex.org/W2477330690","https://openalex.org/W2513205244","https://openalex.org/W2606404089","https://openalex.org/W2610679535","https://openalex.org/W2756465172","https://openalex.org/W2792510033","https://openalex.org/W2809796238","https://openalex.org/W2810291151","https://openalex.org/W2939146285","https://openalex.org/W2945740878","https://openalex.org/W2954605313","https://openalex.org/W2995822294","https://openalex.org/W3023620824","https://openalex.org/W3102836290","https://openalex.org/W3111839003","https://openalex.org/W3194825594","https://openalex.org/W3209650525","https://openalex.org/W4253424795","https://openalex.org/W6684217518"],"related_works":["https://openalex.org/W2646793642","https://openalex.org/W2055580247","https://openalex.org/W2755606167","https://openalex.org/W3166234201","https://openalex.org/W2084024406","https://openalex.org/W2373890118","https://openalex.org/W116920259","https://openalex.org/W3113204556","https://openalex.org/W2923231185","https://openalex.org/W2697950245"],"abstract_inverted_index":{"Understanding":[0],"the":[1,12,48,56,70,74,88,92,97,114,129],"nonlinear":[2,17,28,62,106],"dynamic":[3],"characteristics":[4],"of":[5,73,91,118,125],"engineering":[6],"structures":[7],"is":[8],"challenging,":[9],"especially":[10],"for":[11,26],"systems":[13,29],"that":[14],"exhibit":[15],"asymmetric":[16,27,75,93],"behavior.":[18],"This":[19],"paper":[20],"compared":[21],"four":[22],"parameter":[23],"identification":[24],"methods":[25,127],"incorporating":[30],"quadratic":[31],"and":[32,41,51,77,104,116,123,128],"cubic":[33],"stiffness":[34,71],"nonlinearities.":[35],"Hilbert":[36],"transform,":[37],"zero-crossing,":[38],"direct":[39],"quadrature,":[40],"wavelet":[42],"transform":[43],"were":[44],"used":[45,96],"to":[46,68,86,112],"obtain":[47],"backbone,":[49],"envelope,":[50],"restoring":[52],"force":[53],"curves":[54],"from":[55],"free":[57],"vibration":[58,107],"time":[59],"history.":[60],"A":[61],"curve-fitting":[63],"method":[64],"was":[65,84],"then":[66],"applied":[67],"estimate":[69,87],"parameters":[72,90],"systems,":[76],"a":[78,101,105],"linear":[79],"least":[80],"square":[81],"fitting":[82],"approach":[83],"utilized":[85],"damping":[89],"systems.":[94],"We":[95],"Helmholtz-Duffing":[98],"oscillator":[99],"as":[100],"numerical":[102],"example":[103],"absorber":[108],"with":[109],"geometric":[110],"imperfections":[111],"verify":[113],"feasibility":[115],"accuracy":[117],"these":[119,126],"methods.":[120],"The":[121],"advantages":[122],"disadvantages":[124],"deviations":[130],"in":[131],"estimated":[132],"results":[133],"are":[134],"discussed.":[135]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
