{"id":"https://openalex.org/W2883175839","doi":"https://doi.org/10.2514/1.c034721","title":"Nonstationary Random Vibration Analysis of Wing with Geometric Nonlinearity Under Correlated Excitation","display_name":"Nonstationary Random Vibration Analysis of Wing with Geometric Nonlinearity Under Correlated Excitation","publication_year":2018,"publication_date":"2018-07-17","ids":{"openalex":"https://openalex.org/W2883175839","doi":"https://doi.org/10.2514/1.c034721","mag":"2883175839"},"language":"en","primary_location":{"id":"doi:10.2514/1.c034721","doi":"https://doi.org/10.2514/1.c034721","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.c034721","pdf_url":null,"source":{"id":"https://openalex.org/S8962223","display_name":"Journal of Aircraft","issn_l":"0021-8669","issn":["0021-8669","1533-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aircraft","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100771497","display_name":"Yanbin Li","orcid":"https://orcid.org/0000-0002-1148-4448","observed_orcids":["https://orcid.org/0000-0002-1148-4448","https://orcid.org/0000-0002-8537-3863"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbin Li","raw_affiliation_strings":["Southeast University, Jiangsu 211189, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southeast University, Jiangsu 211189, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074344253","display_name":"Sameer B. Mulani","orcid":"https://orcid.org/0000-0002-3399-0931","observed_orcids":["https://orcid.org/0000-0002-3399-0931"]},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sameer B. Mulani","raw_affiliation_strings":["The University of Alabama, Tuscaloosa, Alabama 35487"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Alabama, Tuscaloosa, Alabama 35487","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051452494","display_name":"Rakesh K. Kapania","orcid":"https://orcid.org/0000-0001-7294-4703","observed_orcids":["https://orcid.org/0000-0001-7294-4703"]},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rakesh K. Kapania","raw_affiliation_strings":["Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24060"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24060","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071568466","display_name":"Qingguo Fei","orcid":"https://orcid.org/0000-0001-8069-8215","observed_orcids":["https://orcid.org/0000-0001-8069-8215"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingguo Fei","raw_affiliation_strings":["Southeast University, Jiangsu 211189, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southeast University, Jiangsu 211189, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103152449","display_name":"Shaoqing Wu","orcid":"https://orcid.org/0000-0003-3332-2607","observed_orcids":["https://orcid.org/0000-0003-3332-2607"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaoqing Wu","raw_affiliation_strings":["Southeast University, Jiangsu 211189, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Southeast University, Jiangsu 211189, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.904,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87795531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"55","issue":"5","first_page":"2078","last_page":"2091"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9110999703407288,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9110999703407288,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.08500000089406967,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.0017000000225380063,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/non-stationary-random-vibration","display_name":"non-stationary random vibration","score":0.9539999961853027},{"id":"https://openalex.org/keywords/geometric-nonlinearity","display_name":"geometric nonlinearity","score":0.9139999747276306},{"id":"https://openalex.org/keywords/aircraft-wing","display_name":"aircraft wing","score":0.7170000076293945},{"id":"https://openalex.org/keywords/karhunen-loeve-expansion","display_name":"Karhunen-Loeve transform","score":0.9980000257492065},{"id":"https://openalex.org/keywords/nonlinear-finite-element-analysis","display_name":"nonlinear finite element analysis","score":0.8930000066757202},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"uncertainty quantification","score":0.890999972820282},{"id":"https://openalex.org/keywords/flexible-wings","display_name":"flexible wings","score":0.5339999794960022},{"id":"https://openalex.org/keywords/structural-response","display_name":"structural response","score":0.5040000081062317},{"id":"https://openalex.org/keywords/stochastic-structural-dynamics","display_name":"stochastic structural dynamics","score":0.3070000112056732}],"concepts":[{"id":"https://openalex.org/C88271906","wikidata":"https://www.wikidata.org/wiki/Q786973","display_name":"Autocovariance","level":3,"score":0.8934801816940308},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7007536292076111},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6369604468345642},{"id":"https://openalex.org/C130076159","wikidata":"https://www.wikidata.org/wiki/Q7291997","display_name":"Random vibration","level":3,"score":0.5872038006782532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5549272298812866},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.48591509461402893},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.4788636863231659},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.45969146490097046},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.44361478090286255},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4364798963069916},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4172337055206299},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3617495894432068},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26480579376220703},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.19238343834877014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17501944303512573},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.164808452129364},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.11730611324310303},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.07481610774993896},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2514/1.c034721","doi":"https://doi.org/10.2514/1.c034721","is_oa":false,"landing_page_url":"https://doi.org/10.2514/1.c034721","pdf_url":null,"source":{"id":"https://openalex.org/S8962223","display_name":"Journal of Aircraft","issn_l":"0021-8669","issn":["0021-8669","1533-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315709","host_organization_name":"American Institute of Aeronautics and Astronautics","host_organization_lineage":["https://openalex.org/P4310315709"],"host_organization_lineage_names":["American Institute of Aeronautics and Astronautics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Aircraft","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4917255384","display_name":"\u70ed-\u58f0-\u632f\u73af\u5883\u4e0b\u7ed3\u6784\u5168\u9891\u6bb5\u52a8\u529b\u5b66\u54cd\u5e94\u9884\u793a\u95ee\u9898\u7814\u7a76","funder_award_id":"11572086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5651799178","display_name":null,"funder_award_id":"11402052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6609634716","display_name":null,"funder_award_id":"BK20170656","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G7990420694","display_name":null,"funder_award_id":"BK20170022","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W583311967","https://openalex.org/W639607674","https://openalex.org/W657603202","https://openalex.org/W1538934584","https://openalex.org/W1671584364","https://openalex.org/W1982769461","https://openalex.org/W1982998873","https://openalex.org/W1985181029","https://openalex.org/W2001536106","https://openalex.org/W2018546345","https://openalex.org/W2038030613","https://openalex.org/W2048214470","https://openalex.org/W2050131947","https://openalex.org/W2052748988","https://openalex.org/W2054768786","https://openalex.org/W2054837639","https://openalex.org/W2060848376","https://openalex.org/W2069985944","https://openalex.org/W2076769218","https://openalex.org/W2079982527","https://openalex.org/W2080908214","https://openalex.org/W2086379970","https://openalex.org/W2088320730","https://openalex.org/W2088871075","https://openalex.org/W2090288039","https://openalex.org/W2102186555","https://openalex.org/W2118378416","https://openalex.org/W2125027820","https://openalex.org/W2136284614","https://openalex.org/W2143797477","https://openalex.org/W2146610201","https://openalex.org/W2159555138","https://openalex.org/W2295494649","https://openalex.org/W2917629179"],"related_works":["https://openalex.org/W2609018940","https://openalex.org/W2318061539","https://openalex.org/W2295494649","https://openalex.org/W2125216276","https://openalex.org/W1607695308","https://openalex.org/W4411332269","https://openalex.org/W2059868817","https://openalex.org/W2071011397","https://openalex.org/W2429739940","https://openalex.org/W4415827810"],"abstract_inverted_index":{"An":[0],"algorithm":[1,102],"that":[2,133,172],"integrates":[3],"Karhunen-Loeve":[4],"expansion":[5],"(KLE),":[6],"nonlinear":[7],"finite":[8],"element":[9],"method":[10,129],"(NFEM),":[11],"and":[12,43,55,86,97,108,126,157],"a":[13,29,81,138,154],"sampling":[14,98],"technique":[15],"to":[16,22,105,168,175],"quantify":[17],"the":[18,41,46,56,88,116,122,134,142,145,159,162,176,182],"uncertainty":[19],"is":[20,91,103,173,179],"proposed":[21,101],"carry":[23],"out":[24,93],"random":[25,37,60,71,163],"vibration":[26],"analysis":[27],"of":[28,45,67,70,76,83,115,144,161],"structure":[30],"with":[31,153],"geometric":[32,135],"nonlinearity":[33,136],"under":[34],"correlated":[35,59,68,84],"nonstationary":[36],"excitations.":[38],"In":[39],"KLE,":[40],"eigenvalues":[42],"eigenfunctions":[44],"autocovariance":[47,74],"are":[48,78,119],"obtained":[49,184],"by":[50,94],"using":[51,95,185],"orthogonal":[52],"basis":[53],"functions,":[54],"KLE":[57],"for":[58,121],"excitations":[61],"relies":[62],"on":[63,141],"expansions":[64],"in":[65,149],"terms":[66],"sets":[69],"variables.":[72],"The":[73,100,165],"functions":[75],"excitation":[77],"discretized":[79],"into":[80],"series":[82],"excitations,":[85],"then":[87],"structural":[89],"response":[90,152,166,183],"carried":[92],"NFEM":[96],"techniques.":[99],"applied":[104],"both":[106],"rigid":[107],"flexible":[109,123],"aircraft":[110,146],"wings.":[111],"Two":[112],"different":[113],"types":[114],"boundary":[117,170,187],"condition":[118,171],"studied":[120],"wing:":[124],"fixed":[125,186],"large":[127],"mass":[128],"(LMM).":[130],"Results":[131],"show":[132],"has":[137],"stiffening":[139],"effect":[140],"behavior":[143],"wing,":[147],"resulting":[148],"an":[150],"oscillatory":[151],"lower":[155],"amplitude,":[156],"changes":[158],"distribution":[160],"responses.":[164],"due":[167],"LMM":[169],"closer":[174],"actual":[177],"conditions":[178],"smaller":[180],"than":[181],"condition.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2018-08-03T00:00:00"}