{"id":"https://openalex.org/W4293353805","doi":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","title":"Approximate analytical methods for stationary response probability density of a SDOF system with a nonlinear spring under non-Gaussian random excitation","display_name":"Approximate analytical methods for stationary response probability density of a SDOF system with a nonlinear spring under non-Gaussian random excitation","publication_year":2022,"publication_date":"2022-08-27","ids":{"openalex":"https://openalex.org/W4293353805","doi":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208"},"language":"en","primary_location":{"id":"doi:10.1016/j.ijnonlinmec.2022.104208","doi":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","pdf_url":null,"source":{"id":"https://openalex.org/S152063775","display_name":"International Journal of Non-Linear Mechanics","issn_l":"0020-7462","issn":["0020-7462","1878-5638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"International Journal of Non-Linear Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103628591","display_name":"Takahiro TSUCHIDA","orcid":"https://orcid.org/0009-0001-0633-9027","observed_orcids":["https://orcid.org/0009-0001-0633-9027"]},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698","https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takahiro Tsuchida","raw_affiliation_strings":["Department of Systems and Control Engineering, Tokyo Institute of Technology, Ookayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Control Engineering, Tokyo Institute of Technology, Ookayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101974879","display_name":"Koji Kimura","orcid":"https://orcid.org/0000-0001-6153-6384","observed_orcids":["https://orcid.org/0000-0001-6153-6384"]},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698","https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Kimura","raw_affiliation_strings":["Department of Systems and Control Engineering, Tokyo Institute of Technology, Ookayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems and Control Engineering, Tokyo Institute of Technology, Ookayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103628591"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.638,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.5409038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"147","issue":null,"first_page":"104208","last_page":"104208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.6753000020980835,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.6753000020980835,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.22310000658035278,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.07819999754428864,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/single-degree-of-freedom-system","display_name":"single-degree-of-freedom systems","score":0.902999997138977},{"id":"https://openalex.org/keywords/nonlinear-springs","display_name":"nonlinear springs","score":0.9819999933242798},{"id":"https://openalex.org/keywords/non-gaussian-random-excitation","display_name":"non-Gaussian random excitation","score":0.9919999837875366},{"id":"https://openalex.org/keywords/response-distribution","display_name":"response distribution","score":0.4650000035762787},{"id":"https://openalex.org/keywords/quasi-static-approximation","display_name":"quasi-static approximation","score":0.75},{"id":"https://openalex.org/keywords/equivalent-linearization","display_name":"equivalent linearization","score":0.8429999947547913},{"id":"https://openalex.org/keywords/excitation-bandwidth","display_name":"excitation bandwidth","score":0.6110000014305115},{"id":"https://openalex.org/keywords/primary-resonance","display_name":"primary resonance","score":0.5899999737739563},{"id":"https://openalex.org/keywords/white-gaussian-noise","display_name":"Gaussian white noise","score":0.5619999766349792},{"id":"https://openalex.org/keywords/random-vibration","display_name":"random vibration","score":0.42399999499320984}],"concepts":[{"id":"https://openalex.org/C2778712887","wikidata":"https://www.wikidata.org/wiki/Q102836","display_name":"Spring (device)","level":2,"score":0.7534084320068359},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7267237901687622},{"id":"https://openalex.org/C83581075","wikidata":"https://www.wikidata.org/wiki/Q1361503","display_name":"Excitation","level":2,"score":0.6891258358955383},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6478186845779419},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5163872838020325},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.42308834195137024},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4211781620979309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36535075306892395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3290897309780121},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2585614323616028},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17597299814224243},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11115244030952454},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09924697875976562}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.ijnonlinmec.2022.104208","doi":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","pdf_url":null,"source":{"id":"https://openalex.org/S152063775","display_name":"International Journal of Non-Linear Mechanics","issn_l":"0020-7462","issn":["0020-7462","1878-5638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"International Journal of Non-Linear Mechanics","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:00897:0005513011","doi":null,"is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100881938","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Non-Linear Mechanics","raw_type":"journal article"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50634837","doi":null,"is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100881938","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1016/j.ijnonlinmec.2022.104208","doi":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ijnonlinmec.2022.104208","pdf_url":null,"source":{"id":"https://openalex.org/S152063775","display_name":"International Journal of Non-Linear Mechanics","issn_l":"0020-7462","issn":["0020-7462","1878-5638"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"International Journal of Non-Linear Mechanics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2194578339","display_name":"Investigation of the effect of large amplitudes of non-Gaussian random excitation on system failure probability","funder_award_id":"21K03944","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W7355550","https://openalex.org/W230980609","https://openalex.org/W1603442166","https://openalex.org/W1664532174","https://openalex.org/W1965127743","https://openalex.org/W1966285745","https://openalex.org/W1977808362","https://openalex.org/W1982769461","https://openalex.org/W1988613593","https://openalex.org/W1989383456","https://openalex.org/W2001414869","https://openalex.org/W2007765753","https://openalex.org/W2009854079","https://openalex.org/W2023479583","https://openalex.org/W2036224061","https://openalex.org/W2046475888","https://openalex.org/W2048447328","https://openalex.org/W2048525630","https://openalex.org/W2054878215","https://openalex.org/W2056386330","https://openalex.org/W2062194014","https://openalex.org/W2067804657","https://openalex.org/W2070744840","https://openalex.org/W2072210242","https://openalex.org/W2080908214","https://openalex.org/W2081013850","https://openalex.org/W2083570317","https://openalex.org/W2091907491","https://openalex.org/W2094149917","https://openalex.org/W2095860056","https://openalex.org/W2099078251","https://openalex.org/W2159956166","https://openalex.org/W2176797760","https://openalex.org/W2319319262","https://openalex.org/W2323642886","https://openalex.org/W2337617007","https://openalex.org/W2791764445","https://openalex.org/W2800105827","https://openalex.org/W2903664092","https://openalex.org/W4231021340","https://openalex.org/W6602412783"],"related_works":["https://openalex.org/W2917541096","https://openalex.org/W2313945683","https://openalex.org/W2333850866","https://openalex.org/W1989217282","https://openalex.org/W3161817166","https://openalex.org/W2322911242","https://openalex.org/W2159641285","https://openalex.org/W2600112072","https://openalex.org/W2077630696","https://openalex.org/W2146113538"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-08-27T00:00:00"}