{"id":"https://openalex.org/W2159200899","doi":"https://doi.org/10.1142/s175882511000069x","title":"OUT-OF-PLANE FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR CURVED BEAMS SUPPORTED ON ELASTIC FOUNDATION","display_name":"OUT-OF-PLANE FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR CURVED BEAMS SUPPORTED ON ELASTIC FOUNDATION","publication_year":2010,"publication_date":"2010-06-10","ids":{"openalex":"https://openalex.org/W2159200899","doi":"https://doi.org/10.1142/s175882511000069x","mag":"2159200899"},"language":"en","primary_location":{"id":"doi:10.1142/s175882511000069x","doi":"https://doi.org/10.1142/s175882511000069x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s175882511000069x","pdf_url":null,"source":{"id":"https://openalex.org/S66991395","display_name":"International Journal of Applied Mechanics","issn_l":"1758-8251","issn":["1758-8251","1758-826X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mechanics","raw_type":"journal-article"},"volume":null,"type":"article","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/A5036415036","display_name":"Parviz Malekzadeh","orcid":"https://orcid.org/0000-0003-1033-6395","observed_orcids":["https://orcid.org/0000-0003-1033-6395"]},"institutions":[{"id":"https://openalex.org/I90767664","display_name":"Persian Gulf University","ror":"https://ror.org/03n2mgj60","country_code":"IR","type":"education","lineage":["https://openalex.org/I90767664"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"P. MALEKZADEH","raw_affiliation_strings":["Department of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran","institution_ids":["https://openalex.org/I90767664"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055804047","display_name":"M. R. Golbahar Haghighi","orcid":"https://orcid.org/0000-0002-5157-566X","observed_orcids":["https://orcid.org/0000-0002-5157-566X"]},"institutions":[{"id":"https://openalex.org/I90767664","display_name":"Persian Gulf University","ror":"https://ror.org/03n2mgj60","country_code":"IR","type":"education","lineage":["https://openalex.org/I90767664"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. R. GOLBAHAR HAGHIGHI","raw_affiliation_strings":["Department of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Persian Gulf University, Bushehr 75168, Iran","institution_ids":["https://openalex.org/I90767664"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064226752","display_name":"M. M. Atashi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210090965","display_name":"Islamic Azad University, Marvdasht","ror":"https://ror.org/00bqttt79","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210090965"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. M. ATASHI","raw_affiliation_strings":["Department of Mechanical Engineering, Islamic Azad University, Marvdasht Branch, Marvdasht, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Islamic Azad University, Marvdasht Branch, Marvdasht, Iran","institution_ids":["https://openalex.org/I4210090965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6266,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.7962127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"02","issue":"03","first_page":"635","last_page":"652"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9994999766349792,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9994999766349792,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":9.999999747378752e-05,"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/T11646","display_name":"Nonlocal and gradient elasticity in micro/nano structures","score":9.999999747378752e-05,"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/functionally-graded-materials","display_name":"functionally graded materials","score":0.8429999947547913},{"id":"https://openalex.org/keywords/out-of-plane-vibration","display_name":"out-of-plane vibration","score":0.8519999980926514},{"id":"https://openalex.org/keywords/free-vibration","display_name":"free vibration","score":0.9240000247955322},{"id":"https://openalex.org/keywords/elastic-foundation","display_name":"elastic foundation","score":0.8840000033378601},{"id":"https://openalex.org/keywords/two-parameter-foundation","display_name":"two-parameter foundation","score":0.9300000071525574},{"id":"https://openalex.org/keywords/first-order-shear-deformation-theory","display_name":"first-order shear deformation theory","score":0.9829999804496765},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.8840000033378601},{"id":"https://openalex.org/keywords/differential-quadrature-method","display_name":"differential quadrature method","score":0.8069999814033508},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.6790000200271606}],"concepts":[{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6683452129364014},{"id":"https://openalex.org/C146996283","wikidata":"https://www.wikidata.org/wiki/Q165618","display_name":"Rotary inertia","level":3,"score":0.6626318693161011},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6304280757904053},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5971383452415466},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5849325656890869},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.48624861240386963},{"id":"https://openalex.org/C48265008","wikidata":"https://www.wikidata.org/wiki/Q7071295","display_name":"Nystr\u00f6m method","level":3,"score":0.46068835258483887},{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.4476024806499481},{"id":"https://openalex.org/C78736273","wikidata":"https://www.wikidata.org/wiki/Q946764","display_name":"Natural frequency","level":3,"score":0.4195569157600403},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.417577862739563},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4168764054775238},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.34593838453292847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34552913904190063},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3364385664463043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32194554805755615},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2938026189804077},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13341489434242249},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.1044657826423645},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.09271445870399475}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s175882511000069x","doi":"https://doi.org/10.1142/s175882511000069x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s175882511000069x","pdf_url":null,"source":{"id":"https://openalex.org/S66991395","display_name":"International Journal of Applied Mechanics","issn_l":"1758-8251","issn":["1758-8251","1758-826X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mechanics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1976815414","https://openalex.org/W1988021265","https://openalex.org/W1999934510","https://openalex.org/W2005103384","https://openalex.org/W2023955768","https://openalex.org/W2030387231","https://openalex.org/W2035862211","https://openalex.org/W2038659939","https://openalex.org/W2045297428","https://openalex.org/W2046919321","https://openalex.org/W2059586633","https://openalex.org/W2061215082","https://openalex.org/W2084818100","https://openalex.org/W2092143435","https://openalex.org/W2100534727"],"related_works":["https://openalex.org/W2036766737","https://openalex.org/W2348313146","https://openalex.org/W7202265624","https://openalex.org/W2901636481","https://openalex.org/W1980855255","https://openalex.org/W2796262335","https://openalex.org/W4409883777","https://openalex.org/W4312115810","https://openalex.org/W2032979256","https://openalex.org/W7222832327"],"abstract_inverted_index":{"As":[0],"a":[1],"first":[2],"endeavor,":[3],"the":[4,31,39,63,67,70,88,93,101,104,107,114,136,143,149,158,163],"out-of-plane":[5],"free":[6],"vibration":[7],"analysis":[8],"of":[9,41,69,90,103,109,113,130,142,162],"thin-to-moderately":[10],"thick":[11],"functionally":[12],"graded":[13,61,151],"(FG)":[14],"circular":[15,122,165],"curved":[16,123,132,166],"beams":[17,124,167],"supported":[18],"on":[19,30,157],"two-parameter":[20],"elastic":[21,144],"foundation":[22,145],"is":[23,27,84,118],"presented.":[24],"The":[25,54,73,140,170],"formulation":[26,105],"derived":[28],"based":[29],"first-order":[32],"shear":[33,42],"deformation":[34,43],"theory":[35],"(FSDT),":[36],"which":[37],"includes":[38],"effects":[40,141],"and":[44,51,81,92,106,125,153],"rotary":[45],"inertia":[46],"due":[47],"to":[48,59,66,86,99],"both":[49],"torsional":[50],"flexural":[52],"vibrations.":[53],"material":[55,150],"properties":[56],"are":[57,138,168],"assumed":[58],"be":[60,174],"in":[62,135],"direction":[64],"normal":[65],"plane":[68],"beam":[71],"curvature.":[72],"differential":[74],"quadrature":[75],"method":[76,108],"(DQM),":[77],"as":[78,176],"an":[79],"efficient":[80],"accurate":[82],"method,":[83],"employed":[85],"discretize":[87],"equations":[89],"motion":[91],"related":[94],"boundary":[95,147],"conditions.":[96],"In":[97],"order":[98],"assure":[100],"accuracy":[102],"solution,":[110],"convergence":[111],"behavior":[112],"nondimensional":[115],"natural":[116,159],"frequencies":[117],"examined":[119],"for":[120,179],"FG":[121,164],"comparison":[126],"studies":[127],"with":[128],"those":[129],"isotropic":[131],"beams,":[133],"available":[134],"literature,":[137],"performed.":[139],"coefficients,":[146],"conditions,":[148],"index":[152],"different":[154],"geometrical":[155],"parameters":[156,161],"frequency":[160],"investigated.":[169],"new":[171],"results":[172],"can":[173],"used":[175],"benchmark":[177],"solutions":[178],"future":[180],"research":[181],"works.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}