{"id":"https://openalex.org/W4298004024","doi":"https://doi.org/10.3390/sym14101998","title":"Stochastic Analysis of Train Running Safety on Bridge with Earthquake-Induced Irregularity under Aftershock","display_name":"Stochastic Analysis of Train Running Safety on Bridge with Earthquake-Induced Irregularity under Aftershock","publication_year":2022,"publication_date":"2022-09-23","ids":{"openalex":"https://openalex.org/W4298004024","doi":"https://doi.org/10.3390/sym14101998"},"language":"en","primary_location":{"id":"doi:10.3390/sym14101998","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14101998","pdf_url":"https://www.mdpi.com/2073-8994/14/10/1998/pdf?version=1664178481","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/10/1998/pdf?version=1664178481","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017582956","display_name":"Jincheng Tan","orcid":null},"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":"Jincheng Tan","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053923667","display_name":"Ping Xiang","orcid":"https://orcid.org/0000-0002-1636-4111"},"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":"Ping Xiang","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012708027","display_name":"Han Zhao","orcid":"https://orcid.org/0000-0002-0355-643X"},"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":true,"raw_author_name":"Han Zhao","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103163171","display_name":"Jian Yu","orcid":"https://orcid.org/0000-0002-5443-3894"},"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":"Jian Yu","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024215926","display_name":"Bailong Ye","orcid":null},"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":"Bailong Ye","raw_affiliation_strings":["School of Civil Engineering, Central South University, Changsha 410075, China"],"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Central South University, Changsha 410075, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054140294","display_name":"Delei Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Delei Yang","raw_affiliation_strings":["Department of Building Engineering, University of Huanghuai, No. 6 Kaiyuan Road, Zhumadian 463000, China"],"affiliations":[{"raw_affiliation_string":"Department of Building Engineering, University of Huanghuai, No. 6 Kaiyuan Road, Zhumadian 463000, China","institution_ids":["https://openalex.org/I4210131125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5012708027"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.4891,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.79889275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"14","issue":"10","first_page":"1998","last_page":"1998"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10842","display_name":"Railway Engineering and Dynamics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T10842","display_name":"Railway Engineering and Dynamics","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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":0.9984999895095825,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9959999918937683,"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/aftershock","display_name":"Aftershock","score":0.8461450338363647},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8210129737854004},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.6184251308441162},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.6128528714179993},{"id":"https://openalex.org/keywords/headway","display_name":"Headway","score":0.49782848358154297},{"id":"https://openalex.org/keywords/earthquake-simulation","display_name":"Earthquake simulation","score":0.47496530413627625},{"id":"https://openalex.org/keywords/train","display_name":"Train","score":0.4643535912036896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4493841528892517},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4281502664089203},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3537272810935974},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3011273741722107},{"id":"https://openalex.org/keywords/seismology","display_name":"Seismology","score":0.29858922958374023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25342410802841187},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.1440962553024292},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09968039393424988},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09811213612556458}],"concepts":[{"id":"https://openalex.org/C156801008","wikidata":"https://www.wikidata.org/wiki/Q308442","display_name":"Aftershock","level":2,"score":0.8461450338363647},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8210129737854004},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.6184251308441162},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.6128528714179993},{"id":"https://openalex.org/C2779240695","wikidata":"https://www.wikidata.org/wiki/Q4383682","display_name":"Headway","level":2,"score":0.49782848358154297},{"id":"https://openalex.org/C90626213","wikidata":"https://www.wikidata.org/wiki/Q3308911","display_name":"Earthquake simulation","level":2,"score":0.47496530413627625},{"id":"https://openalex.org/C190839683","wikidata":"https://www.wikidata.org/wiki/Q2448197","display_name":"Train","level":2,"score":0.4643535912036896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4493841528892517},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4281502664089203},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3537272810935974},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3011273741722107},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.29858922958374023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25342410802841187},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.1440962553024292},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09968039393424988},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09811213612556458},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"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":3,"locations":[{"id":"doi:10.3390/sym14101998","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14101998","pdf_url":"https://www.mdpi.com/2073-8994/14/10/1998/pdf?version=1664178481","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:494dc714dd434ae69bdde6290cdfe432","is_oa":true,"landing_page_url":"https://doaj.org/article/494dc714dd434ae69bdde6290cdfe432","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 10, p 1998 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/10/1998/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14101998","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14101998","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14101998","pdf_url":"https://www.mdpi.com/2073-8994/14/10/1998/pdf?version=1664178481","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4298004024.pdf","grobid_xml":"https://content.openalex.org/works/W4298004024.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1867903852","https://openalex.org/W1980075007","https://openalex.org/W1998975029","https://openalex.org/W2026268965","https://openalex.org/W2063257584","https://openalex.org/W2065471356","https://openalex.org/W2079424150","https://openalex.org/W2157703387","https://openalex.org/W2300885510","https://openalex.org/W2358869305","https://openalex.org/W2386942102","https://openalex.org/W2510084642","https://openalex.org/W2559974928","https://openalex.org/W2725507194","https://openalex.org/W2736746469","https://openalex.org/W2754675106","https://openalex.org/W2794415826","https://openalex.org/W2803687716","https://openalex.org/W2978357804","https://openalex.org/W2991227850","https://openalex.org/W3043176897","https://openalex.org/W3081719048","https://openalex.org/W3087570120","https://openalex.org/W3115911126","https://openalex.org/W3154441658","https://openalex.org/W3161263832","https://openalex.org/W3163501334","https://openalex.org/W3173485377","https://openalex.org/W3184410390","https://openalex.org/W3197451974","https://openalex.org/W3208526105","https://openalex.org/W4210598897","https://openalex.org/W4284695067","https://openalex.org/W4292448865","https://openalex.org/W6657181890","https://openalex.org/W6783366619","https://openalex.org/W6787488711","https://openalex.org/W6798275736"],"related_works":["https://openalex.org/W2897407000","https://openalex.org/W2048320925","https://openalex.org/W4402155500","https://openalex.org/W2355622298","https://openalex.org/W2021019644","https://openalex.org/W3087384592","https://openalex.org/W2150962269","https://openalex.org/W906275019","https://openalex.org/W2913215250","https://openalex.org/W1954876655"],"abstract_inverted_index":{"As":[0],"a":[1,11,66,98,140,149,191],"type":[2],"of":[3,14,61,68,74,97,123,139,179,182,194,201,215],"urban":[4],"life":[5],"project":[6],"in":[7,57],"China,":[8],"bridges":[9],"need":[10],"certain":[12],"capacity":[13],"trains":[15,75],"running":[16,54,72,129,136],"safely":[17],"after":[18,38,76,162],"an":[19,77,163],"earthquake":[20],"to":[21,156],"ensure":[22,157],"and":[23,31,45,85,134,185],"guarantee":[24],"transportation":[25],"on":[26,52,70,83,168],"railway":[27,217],"lines,":[28],"post-disaster":[29],"reconstruction":[30],"relief":[32],"work.":[33],"Since":[34],"aftershocks":[35],"may":[36],"occur":[37],"the":[39,42,53,58,71,92,124,135,153,158,180,195,199,212],"main":[40],"shock,":[41],"earthquake-induced":[43],"irregularity":[44],"aftershock":[46,183,202],"intensity":[47,184,203],"are":[48],"fully":[49],"considered,":[50],"based":[51,167],"safety":[55,73,130,137,160],"index":[56],"seismic":[59],"design":[60,214],"bridges.":[62],"However,":[63],"there":[64],"is":[65,80,118,165,204],"lack":[67],"research":[69],"earthquake;":[78],"it":[79],"mainly":[81],"judged":[82],"experience,":[84],"lacks":[86],"theoretical":[87],"basis.":[88],"In":[89],"this":[90,189],"paper,":[91],"established":[93],"finite":[94],"element":[95],"model":[96],"train":[99],"bridge":[100,143],"interaction":[101],"system":[102],"with":[103,113,144,176],"symmetry":[104,145],"was":[105,146],"considered.":[106],"The":[107,171],"point":[108],"estimation":[109],"method":[110,193],"(PEM)":[111],"combined":[112],"moment":[114],"expansion":[115],"approximation":[116],"(MEA)":[117],"used":[119],"for":[120,211],"random":[121],"calculation":[122,192],"Housner":[125],"Intensity":[126],"(HI).":[127],"Furthermore,":[128],"indexes":[131],"were":[132],"analyzed":[133],"performance":[138,161],"simply":[141],"supported":[142],"assessed":[147],"under":[148,219],"post-earthquake":[150,220],"condition.":[151],"Then":[152],"limit":[154],"value,":[155],"traffic":[159],"earthquake,":[164],"calculated":[166,175],"stochastic":[169],"analysis.":[170],"HI":[172,196],"can":[173,208],"be":[174,209],"full":[177],"consideration":[178],"randomness":[181,200],"structural":[186],"parameters.":[187],"On":[188],"basis,":[190],"that":[197],"considers":[198],"proposed.":[205],"This":[206],"study":[207],"helpful":[210],"performance-based":[213],"symmetric":[216],"structures":[218],"conditions.":[221]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}