{"id":"https://openalex.org/W4324092358","doi":"https://doi.org/10.1007/s00366-023-01799-7","title":"Physics-informed neural network for bending and free vibration analysis of three-dimensional functionally graded porous beam resting on elastic foundation","display_name":"Physics-informed neural network for bending and free vibration analysis of three-dimensional functionally graded porous beam resting on elastic foundation","publication_year":2023,"publication_date":"2023-03-13","ids":{"openalex":"https://openalex.org/W4324092358","doi":"https://doi.org/10.1007/s00366-023-01799-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00366-023-01799-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-023-01799-7","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","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/A5022073924","display_name":"Ali Fallah","orcid":"https://orcid.org/0000-0002-7744-4246"},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ali Fallah","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul, 34956, Turkey","Integrated Manufacturing Technologies Research and Application Center, Sabanci University, Istanbul, 34906, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-7744-4246","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul, 34956, Turkey","institution_ids":["https://openalex.org/I134235054"]},{"raw_affiliation_string":"Integrated Manufacturing Technologies Research and Application Center, Sabanci University, Istanbul, 34906, Turkey","institution_ids":["https://openalex.org/I134235054"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083332480","display_name":"M.M. Aghdam","orcid":"https://orcid.org/0000-0003-3403-0307"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Mohammadi Aghdam","raw_affiliation_strings":["Mechanical Engineering Department, AmirKabir University of Technology, Tehran, 15875-4413, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, AmirKabir University of Technology, Tehran, 15875-4413, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022073924"],"corresponding_institution_ids":["https://openalex.org/I134235054"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":11.1825,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.99400594,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"40","issue":"1","first_page":"437","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9925000071525574,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9925000071525574,"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"}},{"id":"https://openalex.org/T10188","display_name":"Advanced machining processes and optimization","score":0.9830999970436096,"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/T11945","display_name":"Heat Transfer Mechanisms","score":0.9829000234603882,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6067451238632202},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5957709550857544},{"id":"https://openalex.org/keywords/natural-frequency","display_name":"Natural frequency","score":0.5447739362716675},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.5189980268478394},{"id":"https://openalex.org/keywords/hamiltons-principle","display_name":"Hamilton's principle","score":0.5051844716072083},{"id":"https://openalex.org/keywords/deflection","display_name":"Deflection (physics)","score":0.49172070622444153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4792087972164154},{"id":"https://openalex.org/keywords/timoshenko-beam-theory","display_name":"Timoshenko beam theory","score":0.4686562120914459},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4685082733631134},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.40854912996292114},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40460577607154846},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.3460462689399719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29466313123703003},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2750260829925537},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19620296359062195},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.16890966892242432}],"concepts":[{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6067451238632202},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5957709550857544},{"id":"https://openalex.org/C78736273","wikidata":"https://www.wikidata.org/wiki/Q946764","display_name":"Natural frequency","level":3,"score":0.5447739362716675},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5189980268478394},{"id":"https://openalex.org/C28062496","wikidata":"https://www.wikidata.org/wiki/Q1145653","display_name":"Hamilton's principle","level":3,"score":0.5051844716072083},{"id":"https://openalex.org/C2781355719","wikidata":"https://www.wikidata.org/wiki/Q2080698","display_name":"Deflection (physics)","level":2,"score":0.49172070622444153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4792087972164154},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.4686562120914459},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4685082733631134},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.40854912996292114},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40460577607154846},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3460462689399719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29466313123703003},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2750260829925537},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19620296359062195},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.16890966892242432}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00366-023-01799-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00366-023-01799-7","pdf_url":null,"source":{"id":"https://openalex.org/S89333158","display_name":"Engineering With Computers","issn_l":"0177-0667","issn":["0177-0667","1435-5663"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Engineering with Computers","raw_type":"journal-article"},{"id":"pmh:oai:research.sabanciuniv.edu:45538","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/45538/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:research.sabanciuniv.edu:50143","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/50143/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1968885183","https://openalex.org/W1971735090","https://openalex.org/W1980667224","https://openalex.org/W2010142289","https://openalex.org/W2013462463","https://openalex.org/W2026068680","https://openalex.org/W2033615352","https://openalex.org/W2048633572","https://openalex.org/W2062610865","https://openalex.org/W2074310922","https://openalex.org/W2080728108","https://openalex.org/W2087521039","https://openalex.org/W2152175008","https://openalex.org/W2276892413","https://openalex.org/W2513671774","https://openalex.org/W2575932177","https://openalex.org/W2794196526","https://openalex.org/W2899283552","https://openalex.org/W2908541468","https://openalex.org/W2949547603","https://openalex.org/W2969381807","https://openalex.org/W2973119841","https://openalex.org/W2979181137","https://openalex.org/W2982123645","https://openalex.org/W2998847955","https://openalex.org/W3000092674","https://openalex.org/W3005979455","https://openalex.org/W3014009018","https://openalex.org/W3015275832","https://openalex.org/W3015570610","https://openalex.org/W3017390625","https://openalex.org/W3017816046","https://openalex.org/W3025645353","https://openalex.org/W3026667335","https://openalex.org/W3035805727","https://openalex.org/W3040235575","https://openalex.org/W3044930082","https://openalex.org/W3048253760","https://openalex.org/W3048621488","https://openalex.org/W3089862415","https://openalex.org/W3092020108","https://openalex.org/W3092743582","https://openalex.org/W3123895780","https://openalex.org/W3125029985","https://openalex.org/W3137392741","https://openalex.org/W3163557178","https://openalex.org/W3163993681","https://openalex.org/W3168386838","https://openalex.org/W3168774531","https://openalex.org/W3198853948","https://openalex.org/W3203153520","https://openalex.org/W3207051757","https://openalex.org/W4230420206","https://openalex.org/W6601430172","https://openalex.org/W6601630192"],"related_works":["https://openalex.org/W2055384982","https://openalex.org/W4205146411","https://openalex.org/W3180602788","https://openalex.org/W2045783852","https://openalex.org/W2094917200","https://openalex.org/W4387736045","https://openalex.org/W2554048137","https://openalex.org/W4210371773","https://openalex.org/W1986409851","https://openalex.org/W4293052770"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":16},{"year":2025,"cited_by_count":31},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":10}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}