{"id":"https://openalex.org/W2160908035","doi":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","title":"Joint First-Passage Probability and Reliability of Systems under Stochastic Excitation","display_name":"Joint First-Passage Probability and Reliability of Systems under Stochastic Excitation","publication_year":2005,"publication_date":"2005-12-21","ids":{"openalex":"https://openalex.org/W2160908035","doi":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","mag":"2160908035"},"language":"en","primary_location":{"id":"doi:10.1061/(asce)0733-9399(2006)132:1(65)","doi":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","is_oa":false,"landing_page_url":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"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/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 Engineering Mechanics","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/A5050921897","display_name":"Junho Song","orcid":"https://orcid.org/0000-0003-4205-1829","observed_orcids":["https://orcid.org/0000-0003-4205-1829","https://orcid.org/0000-0003-2222-821X"]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Junho Song","raw_affiliation_strings":["Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, Urbana-Champaign, IL 61801; formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","Taisei Professor of Civil Engineering, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, Urbana-Champaign, IL 61801; formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Taisei Professor of Civil Engineering, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. E-mail:","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043102587","display_name":"Armen Der Kiureghian","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Armen Der Kiureghian","raw_affiliation_strings":["Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, Urbana-Champaign, IL 61801; formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","Taisei Professor of Civil Engineering, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois, Urbana-Champaign, IL 61801; formerly, Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Taisei Professor of Civil Engineering, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0834,"has_fulltext":false,"cited_by_count":82,"citation_normalized_percentile":{"value":0.92743953,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"132","issue":"1","first_page":"65","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.7461000084877014,"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":0.7461000084877014,"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/T10160","display_name":"Seismic Performance and Analysis","score":0.11330000311136246,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.08550000190734863,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/structural-reliability","display_name":"structural reliability","score":0.8059999942779541},{"id":"https://openalex.org/keywords/random-excitation","display_name":"random excitation","score":0.8130000233650208},{"id":"https://openalex.org/keywords/vector-processes","display_name":"vector processes","score":0.8539999723434448},{"id":"https://openalex.org/keywords/recursive-formula","display_name":"recursive formula","score":0.5989999771118164},{"id":"https://openalex.org/keywords/stationary-gaussian-processes","display_name":"stationary Gaussian processes","score":0.7070000171661377},{"id":"https://openalex.org/keywords/seismic-excitation","display_name":"seismic excitation","score":0.5619999766349792},{"id":"https://openalex.org/keywords/linear-programming-bounds","display_name":"linear programming bounds","score":0.7900000214576721},{"id":"https://openalex.org/keywords/component-fragility","display_name":"component fragility","score":0.8820000290870667},{"id":"https://openalex.org/keywords/system-reliability","display_name":"system reliability","score":0.41600000858306885}],"concepts":[{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.6400127410888672},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5912706851959229},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5024542808532715},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.46946728229522705},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.46158865094184875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4419912099838257},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4363975524902344},{"id":"https://openalex.org/C195579931","wikidata":"https://www.wikidata.org/wiki/Q3623548","display_name":"Applied probability","level":2,"score":0.43284469842910767},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4288172721862793},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.4270440936088562},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.4234815537929535},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41577911376953125},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4126436412334442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3804217278957367},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33885568380355835},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.312253475189209},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19888782501220703},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.092282235622406},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1061/(asce)0733-9399(2006)132:1(65)","doi":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","is_oa":false,"landing_page_url":"https://doi.org/10.1061/(asce)0733-9399(2006)132:1(65)","pdf_url":null,"source":{"id":"https://openalex.org/S160934207","display_name":"Journal of Engineering Mechanics","issn_l":"0733-9399","issn":["0733-9399","1943-7889"],"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/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 Engineering Mechanics","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt7zf2f3pv","doi":null,"is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/7zf2f3pv","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Engineering Mechanics-ASCE, vol 132, iss 1","raw_type":"article"},{"id":"pmh:qt7zf2f3pv","doi":null,"is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/7zf2f3pv","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Song, J; & Kiureghian, A D. (2006). Joint first-passage probability, and reliability of systems under Stochastic excitation. Journal of Engineering Mechanics-ASCE, 132(1), 65 - 77. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/7zf2f3pv","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","score":0.6299999952316284,"display_name":"Sustainable cities and communities"}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308020","display_name":"California Energy Commission","ror":"https://ror.org/05eaakg28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W151970475","https://openalex.org/W1495167632","https://openalex.org/W1978367676","https://openalex.org/W1990189670","https://openalex.org/W2009322344","https://openalex.org/W2016312558","https://openalex.org/W2027856058","https://openalex.org/W2029159574","https://openalex.org/W2034262210","https://openalex.org/W2053578229","https://openalex.org/W2062328787","https://openalex.org/W2074037059","https://openalex.org/W2114509411","https://openalex.org/W2161824526","https://openalex.org/W2168491582","https://openalex.org/W2795404169","https://openalex.org/W3136463145","https://openalex.org/W4230575743","https://openalex.org/W4243786211"],"related_works":["https://openalex.org/W4404636577","https://openalex.org/W7062512613","https://openalex.org/W2043481227","https://openalex.org/W2737773426","https://openalex.org/W7165804001","https://openalex.org/W2140226403","https://openalex.org/W2280882334","https://openalex.org/W2891313102","https://openalex.org/W1991341353","https://openalex.org/W2169691140"],"abstract_inverted_index":{"The":[0,97,142],"first-passage":[1,91,101,113],"probability,":[2],"describing":[3],"the":[4,30,44,55,69,73,116,120,129,137,145,169,198],"probability":[5,25,56,92,102,118],"that":[6,57],"a":[7,11,33,39,94,106,124,172,180],"scalar":[8],"process":[9,122],"exceeds":[10],"prescribed":[12],"threshold":[13],"during":[14,68],"an":[15,47,76,166],"interval":[16],"of":[17,20,32,46,51,72,93,119,139,144,171,174],"time,":[18],"is":[19,26,38,75,103,131,148,184],"great":[21],"engineering":[22,48],"interest.":[23],"This":[24,80],"essential":[27,78],"for":[28,87,134,161],"estimating":[29],"reliability":[31,45,170],"structural":[34],"component":[35,194],"whose":[36],"response":[37,61],"stochastic":[40,181],"process.":[41,96],"When":[42],"considering":[43,136],"system":[49,74,173],"composed":[50],"several":[52],"interdependent":[53],"components,":[54],"two":[58],"or":[59],"more":[60],"processes":[62],"exceed":[63],"their":[64],"respective":[65],"safe":[66,125],"thresholds":[67],"operation":[70],"time":[71],"equally":[77],"quantity.":[79],"paper":[81],"proposes":[82],"simple":[83],"and":[84,115,192],"accurate":[85],"formulas":[86,147],"approximating":[88],"this":[89],"joint":[90,100,112,193],"vector":[95,121],"nth":[98],"order":[99,111],"obtained":[104,156,196],"from":[105,157],"recursive":[107],"formula":[108],"involving":[109],"lower":[110],"probabilities":[114],"out-crossing":[117],"over":[123],"domain.":[126],"Interdependence":[127],"between":[128],"crossings":[130],"approximately":[132],"accounted":[133],"by":[135,150,186,197],"clumping":[138],"these":[140],"events.":[141],"accuracy":[143],"proposed":[146,199],"examined":[149],"comparing":[151],"analytical":[152],"estimates":[153],"with":[154],"those":[155],"Monte":[158],"Carlo":[159],"simulations":[160],"stationary":[162],"Gaussian":[163],"processes.":[164],"As":[165],"example":[167],"application,":[168],"interconnected":[175],"equipment":[176],"items":[177],"subjected":[178],"to":[179],"earthquake":[182],"excitation":[183],"estimated":[185],"linear":[187],"programming":[188],"bounds":[189],"employing":[190],"marginal":[191],"fragilities":[195],"formulas.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":7}],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2016-06-24T00:00:00"}