{"id":"https://openalex.org/W3006021074","doi":"https://doi.org/10.1109/access.2020.2973919","title":"Regularized Cubic B-Spline Collocation Method With Modified L-Curve Criterion for Impact Force Identification","display_name":"Regularized Cubic B-Spline Collocation Method With Modified L-Curve Criterion for Impact Force Identification","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3006021074","doi":"https://doi.org/10.1109/access.2020.2973919","mag":"3006021074"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2973919","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08999552.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08999552.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000364215","display_name":"Jie Liu","orcid":"https://orcid.org/0000-0002-2894-8923"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Liu","raw_affiliation_strings":["School of Printing Packaging and Digital Media, Xi\u2019an University of Technology, Xi\u2019an, China","School of Printing Packaging and Digital Media, Xi'an University of Technology, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-2894-8923","affiliations":[{"raw_affiliation_string":"School of Printing Packaging and Digital Media, Xi\u2019an University of Technology, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"School of Printing Packaging and Digital Media, Xi'an University of Technology, Xi'an, China","institution_ids":["https://openalex.org/I4210131919"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043832796","display_name":"Jingsong Xie","orcid":"https://orcid.org/0000-0001-7280-3556"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingsong Xie","raw_affiliation_strings":["School of Traffic and Transportation Engineering, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-7280-3556","affiliations":[{"raw_affiliation_string":"School of Traffic and Transportation Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100451282","display_name":"Bing Li","orcid":"https://orcid.org/0000-0002-7067-2908"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Li","raw_affiliation_strings":["State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-7067-2908","affiliations":[{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019136026","display_name":"Bingbing Hu","orcid":"https://orcid.org/0000-0002-1754-3736"},"institutions":[{"id":"https://openalex.org/I4210131919","display_name":"Xi'an University of Technology","ror":"https://ror.org/038avdt50","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131919"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bingbing Hu","raw_affiliation_strings":["School of Printing Packaging and Digital Media, Xi\u2019an University of Technology, Xi\u2019an, China","School of Printing Packaging and Digital Media, Xi'an University of Technology, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-1754-3736","affiliations":[{"raw_affiliation_string":"School of Printing Packaging and Digital Media, Xi\u2019an University of Technology, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210131919"]},{"raw_affiliation_string":"School of Printing Packaging and Digital Media, Xi'an University of Technology, Xi'an, China","institution_ids":["https://openalex.org/I4210131919"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2075,"currency":"USD","value_usd":2075},"apc_paid":{"value":2075,"currency":"USD","value_usd":2075},"fwci":1.3094,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.76773356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"36337","last_page":"36349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10534","display_name":"Structural Health Monitoring Techniques","score":0.996399998664856,"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":0.996399998664856,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/spline","display_name":"Spline (mechanical)","score":0.5650988221168518},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49721601605415344},{"id":"https://openalex.org/keywords/b-spline","display_name":"B-spline","score":0.47969314455986023},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.47449469566345215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47421956062316895},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.4692169427871704},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.4390219449996948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39375239610671997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3482411503791809},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1552792489528656},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.111692875623703},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.09752023220062256}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5650988221168518},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49721601605415344},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.47969314455986023},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.47449469566345215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47421956062316895},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.4692169427871704},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.4390219449996948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39375239610671997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3482411503791809},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1552792489528656},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.111692875623703},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.09752023220062256},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2973919","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08999552.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:36c7a1c0e1a24a29b0b8a515abd7fc80","is_oa":true,"landing_page_url":"https://doaj.org/article/36c7a1c0e1a24a29b0b8a515abd7fc80","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 36337-36349 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2973919","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2973919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/08999552.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3687748185","display_name":null,"funder_award_id":"51905422","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5625187776","display_name":null,"funder_award_id":"51705420","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3006021074.pdf","grobid_xml":"https://content.openalex.org/works/W3006021074.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1227134273","https://openalex.org/W1634775478","https://openalex.org/W1856402272","https://openalex.org/W1860587327","https://openalex.org/W1984931063","https://openalex.org/W1985560412","https://openalex.org/W1985744720","https://openalex.org/W2008176216","https://openalex.org/W2013142387","https://openalex.org/W2017266178","https://openalex.org/W2022400536","https://openalex.org/W2026187522","https://openalex.org/W2027773680","https://openalex.org/W2028619072","https://openalex.org/W2033242948","https://openalex.org/W2038487143","https://openalex.org/W2046131409","https://openalex.org/W2049287680","https://openalex.org/W2052877197","https://openalex.org/W2057553353","https://openalex.org/W2083818016","https://openalex.org/W2094820392","https://openalex.org/W2102985156","https://openalex.org/W2133728593","https://openalex.org/W2160524208","https://openalex.org/W2199702797","https://openalex.org/W2474013167","https://openalex.org/W2613227922","https://openalex.org/W2778834581","https://openalex.org/W2787500597","https://openalex.org/W2792203551","https://openalex.org/W2885112488","https://openalex.org/W2885908951","https://openalex.org/W2887290052","https://openalex.org/W2910906471","https://openalex.org/W2919886848","https://openalex.org/W2925147161","https://openalex.org/W2970360792","https://openalex.org/W2981369906","https://openalex.org/W4206237645","https://openalex.org/W6628099451","https://openalex.org/W6679890890"],"related_works":["https://openalex.org/W2373603847","https://openalex.org/W1487120727","https://openalex.org/W2990252123","https://openalex.org/W2131662362","https://openalex.org/W2052425187","https://openalex.org/W2766141905","https://openalex.org/W3153287478","https://openalex.org/W3084529718","https://openalex.org/W2148605194","https://openalex.org/W1566260961"],"abstract_inverted_index":{"The":[0,173],"time":[1],"history":[2],"of":[3,18,28,33,80,87,93,137,145,170,211],"the":[4,9,16,22,26,44,60,69,78,101,106,113,126,134,142,168,185,197,207],"impact":[5,70,88,103,118,187,229],"force,":[6,11,89,188],"especially":[7],"for":[8],"peak":[10],"is":[12,36,65,83,97,110,130,141,202,223],"vital":[13],"to":[14,42,67,85,99,121,132,166,182,205],"monitor":[15],"performance":[17,169],"mechanical":[19],"products":[20],"over":[21],"life-time.":[23],"However,":[24],"considering":[25],"limitation":[27],"sensing":[29],"technology":[30],"and":[31,156,189,226],"inaccessibility":[32],"installing,":[34],"it":[35],"always":[37],"difficult":[38],"or":[39],"even":[40],"impossible":[41],"measure":[43],"force":[45,71,107,119,230],"directly":[46],"in":[47,228],"engineering":[48],"practice.":[49],"Therefore,":[50],"a":[51,90,152,160],"regularized":[52],"cubic":[53,81,94],"B-spline":[54,82,95],"collocation":[55,138],"(RCBSC)":[56],"method":[57,178,222],"combined":[58],"with":[59,191,216],"modified":[61,127,192,199],"L-curve":[62,128,200],"criterion":[63,129,201],"(RCBSC-ML)":[64],"presented":[66,198],"identify":[68,184],"by":[72],"easily":[73],"measurable":[74],"dynamic":[75],"response.":[76],"Because":[77],"profile":[79],"close":[84],"that":[86,176],"linear":[91],"combination":[92],"functions":[96],"used":[98,181],"approximate":[100],"unknown":[102,114,186],"force.":[104],"Then":[105],"identification":[108],"equation":[109],"reformed,":[111],"wherein":[112],"variable":[115],"changes":[116],"from":[117],"vector":[120],"weight":[122],"coefficient":[123],"vector.":[124],"Furthermore,":[125,214],"developed":[131],"select":[133],"optimal":[135,208],"number":[136],"points":[139],"which":[140],"regularization":[143,209,219],"parameter":[144,210],"RCBSC":[146,212],"method.":[147,172,213],"Rich":[148],"simulation":[149],"studies":[150,158],"on":[151,159],"five":[153],"degree-of-freedoms":[154],"structure":[155],"experimental":[157],"simplified":[161],"artillery":[162],"test-bed":[163],"are":[164],"performed":[165],"validate":[167],"RCBSC-ML":[171,177,221],"results":[174],"illustrate":[175],"can":[179],"be":[180],"accurately":[183],"compared":[190,215],"generalized":[193],"cross":[194],"validation":[195],"criterion,":[196],"more":[203,224],"suitable":[204],"determine":[206],"classical":[217],"Tikhonov":[218],"method,":[220],"efficient":[225],"accurate":[227],"identification.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}