{"id":"https://openalex.org/W647327456","doi":"https://doi.org/10.1061/jmcea3.0001755","title":"Eigenvalue Uncertainty in Stressed Structures","display_name":"Eigenvalue Uncertainty in Stressed Structures","publication_year":1973,"publication_date":"1973-06-01","ids":{"openalex":"https://openalex.org/W647327456","doi":"https://doi.org/10.1061/jmcea3.0001755","mag":"647327456"},"language":"en","primary_location":{"id":"doi:10.1061/jmcea3.0001755","doi":"https://doi.org/10.1061/jmcea3.0001755","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jmcea3.0001755","pdf_url":null,"source":{"id":"https://openalex.org/S4210212983","display_name":"Journal of the Engineering Mechanics Division","issn_l":"0044-7951","issn":["0044-7951","2690-2427"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Engineering Mechanics Division","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/A5110529810","display_name":"Gary C. Hart","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gary C. Hart","raw_affiliation_strings":["Asst. Prof. of Engrg., Mech. and Struct. Dept., Univ. of California, Los Angeles, Calif"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Asst. Prof. of Engrg., Mech. and Struct. Dept., Univ. of California, Los Angeles, Calif","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110529810"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":2.3842,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.87185355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"99","issue":"3","first_page":"481","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9452999830245972,"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":0.9452999830245972,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.03350000083446503,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.012799999676644802,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/natural-frequencies","display_name":"natural frequencies","score":0.9359999895095825},{"id":"https://openalex.org/keywords/mode-shapes","display_name":"mode shapes","score":0.9919999837875366},{"id":"https://openalex.org/keywords/geometric-stiffness-matrix","display_name":"geometric stiffness matrix","score":0.7419999837875366},{"id":"https://openalex.org/keywords/axial-force","display_name":"axial force","score":0.7730000019073486},{"id":"https://openalex.org/keywords/static-load","display_name":"static loading","score":0.7950000166893005},{"id":"https://openalex.org/keywords/random-stiffness","display_name":"random stiffness","score":0.4050000011920929},{"id":"https://openalex.org/keywords/random-mass","display_name":"random mass","score":0.8320000171661377},{"id":"https://openalex.org/keywords/structural-vibration","display_name":"structural vibration","score":0.5519999861717224},{"id":"https://openalex.org/keywords/uncertainty-quantification","display_name":"uncertainty quantification","score":0.5720000267028809}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8287181854248047},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.8146610856056213},{"id":"https://openalex.org/C6213913","wikidata":"https://www.wikidata.org/wiki/Q2280635","display_name":"Direct stiffness method","level":4,"score":0.7955161929130554},{"id":"https://openalex.org/C14198674","wikidata":"https://www.wikidata.org/wiki/Q3851930","display_name":"Stiffness matrix","level":3,"score":0.776888370513916},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5976502895355225},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5731863975524902},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.56596440076828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5493478775024414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5129022598266602},{"id":"https://openalex.org/C178295079","wikidata":"https://www.wikidata.org/wiki/Q919765","display_name":"Tangent stiffness matrix","level":4,"score":0.471771240234375},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.44045305252075195},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3845500648021698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3668364882469177},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19301098585128784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1640940010547638},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13724365830421448},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12838506698608398},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1061/jmcea3.0001755","doi":"https://doi.org/10.1061/jmcea3.0001755","is_oa":false,"landing_page_url":"https://doi.org/10.1061/jmcea3.0001755","pdf_url":null,"source":{"id":"https://openalex.org/S4210212983","display_name":"Journal of the Engineering Mechanics Division","issn_l":"0044-7951","issn":["0044-7951","2690-2427"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310315747","host_organization_name":"American Society of Civil Engineers","host_organization_lineage":["https://openalex.org/P4310315747"],"host_organization_lineage_names":["American Society of Civil Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Engineering Mechanics Division","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2390666412","https://openalex.org/W1510344852","https://openalex.org/W2684046120","https://openalex.org/W7096682836","https://openalex.org/W2352684020","https://openalex.org/W2334661621","https://openalex.org/W1986286822","https://openalex.org/W1996094095","https://openalex.org/W2329499656","https://openalex.org/W7095569879"],"abstract_inverted_index":{"This":[0,79],"paper":[1],"develops":[2],"a":[3,19,54,68],"method":[4],"for":[5,18,35,58],"calculating":[6],"the":[7,10,31,36,47,59,87,92,111,114,117,122,125,130,136,139,143],"statistics":[8],"of":[9,16,42,116,124,138],"natural":[11,100],"frequencies":[12,101],"and":[13,91,102,129,146],"mode":[14,103],"shapes":[15],"vibration":[17],"structure":[20,32,60],"acted":[21],"upon":[22],"by":[23],"an":[24],"external":[25],"static":[26,69],"loading":[27],"which":[28],"results":[29],"in":[30,50,64,113,121],"being":[33],"stressed":[34],"eigenvalue":[37,94,140],"analysis.":[38],"The":[39,105],"particular":[40],"complexity":[41],"this":[43],"problem":[44,71,95,141],"centers":[45],"around":[46],"fact":[48],"that":[49],"order":[51],"to":[52,66,72,86,98],"formulate":[53],"geometric":[55,80,126],"stiffness":[56,81,89,127,148],"matrix":[57,82,90,128],"it":[61],"is":[62,83,96,108,133],"necessary,":[63],"general,":[65],"solve":[67],"response":[70],"obtain":[73,99],"each":[74],"structural":[75],"member's":[76],"axial":[77,118],"forces.":[78],"then":[84],"added":[85],"elastic":[88,147],"standard":[93],"solved":[97],"shapes.":[104],"first":[106],"layer":[107,132],"associated":[109,134],"with":[110,135],"uncertainty":[112],"values":[115],"forces":[119],"used":[120],"formulation":[123],"second":[131],"solution":[137],"using":[142],"random":[144],"mass":[145],"matrices.":[149]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
