{"id":"https://openalex.org/W2049797483","doi":"https://doi.org/10.1080/00207161003774230","title":"New direct probabilistic approach for static responses of structures with uncertainties","display_name":"New direct probabilistic approach for static responses of structures with uncertainties","publication_year":2011,"publication_date":"2011-01-08","ids":{"openalex":"https://openalex.org/W2049797483","doi":"https://doi.org/10.1080/00207161003774230","mag":"2049797483"},"language":"en","primary_location":{"id":"doi:10.1080/00207161003774230","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207161003774230","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"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/A5034006012","display_name":"Zhiping Qiu","orcid":"https://orcid.org/0000-0002-7252-9806"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiping Qiu","raw_affiliation_strings":["Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics , Beijing, 100083, China","[Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics , Beijing, 100083, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"[Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China]","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100384582","display_name":"Jun Wang","orcid":"https://orcid.org/0000-0001-5186-0148"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Wang","raw_affiliation_strings":["Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics , Beijing, 100083, China","[Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China]"],"affiliations":[{"raw_affiliation_string":"Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics , Beijing, 100083, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"[Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, China]","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100384582"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.31,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67299065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"88","issue":"4","first_page":"714","last_page":"730"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":1.0,"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":1.0,"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":0.996999979019165,"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/T10160","display_name":"Seismic Performance and Analysis","score":0.9896000027656555,"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/truss","display_name":"Truss","score":0.785799503326416},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6310453414916992},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5712472200393677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5447975993156433},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5223475694656372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5039286017417908},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.43336454033851624},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.393688440322876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33581334352493286},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.16400247812271118},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09365451335906982}],"concepts":[{"id":"https://openalex.org/C173534245","wikidata":"https://www.wikidata.org/wiki/Q1328068","display_name":"Truss","level":2,"score":0.785799503326416},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6310453414916992},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5712472200393677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5447975993156433},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5223475694656372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5039286017417908},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.43336454033851624},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.393688440322876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33581334352493286},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.16400247812271118},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09365451335906982},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207161003774230","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207161003774230","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321125","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W630854438","https://openalex.org/W642677081","https://openalex.org/W1588656616","https://openalex.org/W1677855016","https://openalex.org/W1965269311","https://openalex.org/W1983035347","https://openalex.org/W1984943006","https://openalex.org/W2027351433","https://openalex.org/W2042798576","https://openalex.org/W2048589056","https://openalex.org/W2049275823","https://openalex.org/W2061755530","https://openalex.org/W2062575599","https://openalex.org/W2070621001","https://openalex.org/W2080876496","https://openalex.org/W2095146076","https://openalex.org/W2108558043","https://openalex.org/W2145262087","https://openalex.org/W2609832841","https://openalex.org/W2972424502","https://openalex.org/W4232515046","https://openalex.org/W4244492938","https://openalex.org/W4300546246"],"related_works":["https://openalex.org/W2955404263","https://openalex.org/W2055188469","https://openalex.org/W2365888646","https://openalex.org/W4238655142","https://openalex.org/W2729632630","https://openalex.org/W2914493398","https://openalex.org/W2741416590","https://openalex.org/W2741963359","https://openalex.org/W933396280","https://openalex.org/W2101259467"],"abstract_inverted_index":{"A":[0],"new":[1],"direct":[2],"probabilistic":[3],"approach":[4,24,35,114],"(DPA)":[5],"is":[6,59,106,115],"presented":[7],"for":[8],"calculating":[9],"the":[10,16,39,56,73,77,103,123,135],"first-":[11],"and":[12,28,41,66,128,131,141],"second-order":[13],"moments":[14],"of":[15,63,76,125],"structural":[17,47],"static":[18],"response":[19],"with":[20,53,134],"random":[21,54],"uncertainties.":[22],"The":[23,33,112],"treats":[25],"both":[26],"stiffness":[27],"load":[29],"as":[30],"uncertain":[31],"factors.":[32],"proposed":[34],"can":[36,83,98],"reduce":[37],"considerably":[38],"storage":[40],"computational":[42],"complexities":[43],"required":[44],"to":[45,60,92,108],"large":[46,64],"systems.":[48],"For":[49],"practical":[50,90],"engineering":[51,91],"problems":[52],"uncertainties,":[55],"prime":[57],"problem":[58],"avoid":[61,93],"disadvantages":[62],"calculation":[65],"much":[67,94],"wall-clock":[68,95],"time.":[69,96],"In":[70],"this":[71],"study,":[72],"parallel":[74,104],"arithmetic":[75,105],"DPA":[78],"will":[79],"be":[80,84,100],"presented,":[81],"which":[82],"used":[85],"in":[86,89,132],"large-scale":[87],"computations":[88],"It":[97],"also":[99],"seen":[101],"that":[102,121],"superior":[107],"traditional":[109],"serial":[110],"algorithm.":[111],"present":[113],"illustrated":[116],"by":[117],"two":[118],"numerical":[119],"examples":[120],"include":[122],"structure":[124,130],"14-bar":[126],"truss":[127],"three-beam":[129],"comparison":[133],"expanded":[136],"first-order":[137],"second":[138],"moment":[139],"method":[140],"Monte-Carlo":[142],"method.":[143]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}