{"id":"https://openalex.org/W4386263282","doi":"https://doi.org/10.1007/978-3-031-31824-5_24","title":"Free Vibration Response of Micro FG Beams Taking the Initial Geometrical Imperfection into Consideration","display_name":"Free Vibration Response of Micro FG Beams Taking the Initial Geometrical Imperfection into Consideration","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386263282","doi":"https://doi.org/10.1007/978-3-031-31824-5_24"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-31824-5_24","doi":"https://doi.org/10.1007/978-3-031-31824-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31824-5_24","pdf_url":null,"source":{"id":"https://openalex.org/S4210184193","display_name":"Lecture notes in mechanical engineering","issn_l":"2195-4356","issn":["2195-4356","2195-4364"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mechanical Engineering","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4386263230","display_name":"Proceedings of the 3rd Annual International Conference on Material, Machines and Methods for Sustainable Development (MMMS2022)"},"type":"conference-paper","is_traditional":true,"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/A5101929266","display_name":"Nguy\u1ec5n V\u0103n D\u0169ng","orcid":"https://orcid.org/0000-0003-3460-5238","observed_orcids":["https://orcid.org/0000-0003-3460-5238"]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Van Dung","raw_affiliation_strings":["Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013821574","display_name":"Le Minh Thai","orcid":"https://orcid.org/0000-0001-7615-029X","observed_orcids":["https://orcid.org/0000-0001-7615-029X"]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Le Minh Thai","raw_affiliation_strings":["Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Nguyen Thai Dung","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Nguyen Thai Dung","raw_affiliation_strings":["Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Special Equipment, Le Quy Don Technical University, Hanoi City, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037395631","display_name":"Phung V. Minh","orcid":"https://orcid.org/0000-0002-4457-2479","observed_orcids":["https://orcid.org/0000-0002-4457-2479"]},"institutions":[{"id":"https://openalex.org/I131359167","display_name":"Le Quy Don Technical University","ror":"https://ror.org/04wgyjv21","country_code":"VN","type":"education","lineage":["https://openalex.org/I131359167"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Phung Van Minh","raw_affiliation_strings":["Faculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi City, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi City, Vietnam","institution_ids":["https://openalex.org/I131359167"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013821574"],"corresponding_institution_ids":["https://openalex.org/I131359167"],"apc_list":null,"apc_paid":null,"fwci":12.1105,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.99098162,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"197","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.6215999722480774,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":0.6215999722480774,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.3522999882698059,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.00559999980032444,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/free-vibration","display_name":"free vibration","score":0.9909999966621399},{"id":"https://openalex.org/keywords/functionally-graded-beams","display_name":"functionally graded beams","score":0.8849999904632568},{"id":"https://openalex.org/keywords/microbeams","display_name":"microbeams","score":0.8970000147819519},{"id":"https://openalex.org/keywords/geometric-imperfections","display_name":"geometric imperfections","score":0.859000027179718},{"id":"https://openalex.org/keywords/elastic-foundation","display_name":"elastic foundation","score":0.8949999809265137},{"id":"https://openalex.org/keywords/higher-order-shear-deformation-theory","display_name":"higher-order shear deformation theory","score":0.9359999895095825},{"id":"https://openalex.org/keywords/modified-couple-stress-theory","display_name":"modified couple stress theory","score":0.9909999966621399},{"id":"https://openalex.org/keywords/shear-correction-factor","display_name":"shear correction factor","score":0.6069999933242798},{"id":"https://openalex.org/keywords/size-dependent-beams","display_name":"size-dependent beams","score":0.31299999356269836}],"concepts":[{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.7590073943138123},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.6456949710845947},{"id":"https://openalex.org/C96035792","wikidata":"https://www.wikidata.org/wiki/Q43606218","display_name":"Shear (geology)","level":2,"score":0.6006605625152588},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5895599126815796},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.5483981370925903},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.432095468044281},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3794962763786316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3680034875869751},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3584675192832947},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3271945118904114},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31028974056243896},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.11560958623886108},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.10743710398674011}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-31824-5_24","doi":"https://doi.org/10.1007/978-3-031-31824-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-31824-5_24","pdf_url":null,"source":{"id":"https://openalex.org/S4210184193","display_name":"Lecture notes in mechanical engineering","issn_l":"2195-4356","issn":["2195-4356","2195-4364"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mechanical Engineering","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1998494366","https://openalex.org/W2047565194","https://openalex.org/W2072300565","https://openalex.org/W2122323682","https://openalex.org/W2277617300","https://openalex.org/W2291812421","https://openalex.org/W2404367851","https://openalex.org/W2508540933","https://openalex.org/W2532098651","https://openalex.org/W2592854169","https://openalex.org/W2598900566","https://openalex.org/W2738428784","https://openalex.org/W2742731519","https://openalex.org/W2783277648","https://openalex.org/W2919801595","https://openalex.org/W2921144789","https://openalex.org/W2937609365","https://openalex.org/W2946031721","https://openalex.org/W2978682133","https://openalex.org/W3093223552","https://openalex.org/W3167059082","https://openalex.org/W3178589493","https://openalex.org/W3191960602","https://openalex.org/W3212152745","https://openalex.org/W3215109383","https://openalex.org/W4207017483","https://openalex.org/W4224082468","https://openalex.org/W4288077191","https://openalex.org/W4291139505","https://openalex.org/W4295345262","https://openalex.org/W4310018383","https://openalex.org/W4310189355","https://openalex.org/W4310990388"],"related_works":["https://openalex.org/W4386265823","https://openalex.org/W2404367851","https://openalex.org/W3136913719","https://openalex.org/W3163273100","https://openalex.org/W4395667863","https://openalex.org/W3046726663","https://openalex.org/W3177061925","https://openalex.org/W2013929996","https://openalex.org/W1999633878","https://openalex.org/W4403897589"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-08-30T00:00:00"}