{"id":"https://openalex.org/W4319083023","doi":"https://doi.org/10.1142/s0219455423501717","title":"Modeling and Free Vibration Analysis of Variable Stiffness System for Sandwich Conical Shell Structures with Variable Thickness","display_name":"Modeling and Free Vibration Analysis of Variable Stiffness System for Sandwich Conical Shell Structures with Variable Thickness","publication_year":2023,"publication_date":"2023-02-03","ids":{"openalex":"https://openalex.org/W4319083023","doi":"https://doi.org/10.1142/s0219455423501717"},"language":"en","primary_location":{"id":"doi:10.1142/s0219455423501717","doi":"https://doi.org/10.1142/s0219455423501717","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219455423501717","pdf_url":null,"source":{"id":"https://openalex.org/S2622345","display_name":"International Journal of Structural Stability and Dynamics","issn_l":"0219-4554","issn":["0219-4554","1793-6764"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-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 Structural Stability and Dynamics","raw_type":"journal-article"},"volume":null,"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/A5049085161","display_name":"Z. Q. Wang","orcid":"https://orcid.org/0009-0002-8676-6527","observed_orcids":["https://orcid.org/0009-0002-8676-6527"]},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Z. Q. Wang","raw_affiliation_strings":["College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046338580","display_name":"S. W. Yang","orcid":"https://orcid.org/0000-0002-0320-2009","observed_orcids":["https://orcid.org/0000-0002-0320-2009"]},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"S. W. Yang","raw_affiliation_strings":["College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-0320-2009","affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101800683","display_name":"Y. X. Hao","orcid":"https://orcid.org/0000-0001-7981-766X","observed_orcids":["https://orcid.org/0000-0001-7981-766X"]},"institutions":[{"id":"https://openalex.org/I78675632","display_name":"Beijing Information Science & Technology University","ror":"https://ror.org/04xnqep60","country_code":"CN","type":"education","lineage":["https://openalex.org/I78675632"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y. X. Hao","raw_affiliation_strings":["College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering and Beijing, Key Laboratory of Measurement and Control of Mechanical and Electrical System, Beijing Information Science and Technology University, Beijing 100192, P. R. China","institution_ids":["https://openalex.org/I78675632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100441715","display_name":"William Zhang","orcid":"https://orcid.org/0000-0002-8850-5235","observed_orcids":["https://orcid.org/0000-0002-8850-5235","https://orcid.org/0000-0001-7973-8769"]},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"W. Zhang","raw_affiliation_strings":["Department of Mechanics, Guangxi University, Nanning 530004, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, Guangxi University, Nanning 530004, P. R. China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085056074","display_name":"Wensai Ma","orcid":"https://orcid.org/0000-0002-3580-1129","observed_orcids":["https://orcid.org/0000-0002-3580-1129"]},"institutions":[{"id":"https://openalex.org/I55654194","display_name":"Inner Mongolia University of Technology","ror":"https://ror.org/05564e019","country_code":"CN","type":"education","lineage":["https://openalex.org/I55654194"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"W. S. Ma","raw_affiliation_strings":["Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, P. R. China","institution_ids":["https://openalex.org/I55654194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065836581","display_name":"X. D. Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I15089104","display_name":"China Aerospace Science and Industry Corporation (China)","ror":"https://ror.org/0523vvf33","country_code":"CN","type":"company","lineage":["https://openalex.org/I15089104"]},{"id":"https://openalex.org/I2802615301","display_name":"China Aerospace Science and Technology Corporation","ror":"https://ror.org/01z8tr155","country_code":"CN","type":"government","lineage":["https://openalex.org/I2802615301"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"X. D. Zhang","raw_affiliation_strings":["Institute of Magnetic Levitation and Electromagnetic Propulsion, China Aerospace Science and Industry Corp., Beijing 100143, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Magnetic Levitation and Electromagnetic Propulsion, China Aerospace Science and Industry Corp., Beijing 100143, P. R. China","institution_ids":["https://openalex.org/I15089104","https://openalex.org/I2802615301"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046338580","https://openalex.org/A5100441715"],"corresponding_institution_ids":["https://openalex.org/I150807315","https://openalex.org/I78675632"],"apc_list":null,"apc_paid":null,"fwci":4.8188,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.97093474,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"23","issue":"15","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9980000257492065,"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":0.9980000257492065,"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/T10707","display_name":"Cellular and Composite Structures","score":0.0010000000474974513,"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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/variable-stiffness","display_name":"variable stiffness","score":0.640999972820282},{"id":"https://openalex.org/keywords/variable-thickness","display_name":"variable thickness","score":0.6510000228881836},{"id":"https://openalex.org/keywords/free-vibration","display_name":"free vibration","score":0.9319999814033508},{"id":"https://openalex.org/keywords/natural-frequencies","display_name":"natural frequencies","score":0.8180000185966492},{"id":"https://openalex.org/keywords/porosity-distribution","display_name":"porosity distribution","score":0.875},{"id":"https://openalex.org/keywords/thermal-environment","display_name":"thermal environment","score":0.8370000123977661},{"id":"https://openalex.org/keywords/first-order-shear-deformation-theory","display_name":"first-order shear deformation theory","score":0.9359999895095825},{"id":"https://openalex.org/keywords/simply-supported-edges","display_name":"simply supported edges","score":0.7139999866485596},{"id":"https://openalex.org/keywords/mode-shapes","display_name":"mode shapes","score":0.453000009059906}],"concepts":[{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7063710689544678},{"id":"https://openalex.org/C124961601","wikidata":"https://www.wikidata.org/wiki/Q2518149","display_name":"Conical surface","level":2,"score":0.5862314105033875},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.5573955178260803},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.5458266735076904},{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.5346051454544067},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5221822261810303},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4715697169303894},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.42807742953300476},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.393015056848526},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3725319504737854},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.37225356698036194},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.36567366123199463},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3030160963535309},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3004680871963501},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24477708339691162},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18916669487953186},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0954459011554718},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219455423501717","doi":"https://doi.org/10.1142/s0219455423501717","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219455423501717","pdf_url":null,"source":{"id":"https://openalex.org/S2622345","display_name":"International Journal of Structural Stability and Dynamics","issn_l":"0219-4554","issn":["0219-4554","1793-6764"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-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 Structural Stability and Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Life on land","id":"https://metadata.un.org/sdg/15","score":0.47999998927116394}],"study_designs":[],"awards":[{"id":"https://openalex.org/G4759166309","display_name":null,"funder_award_id":"12102207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6249290739","display_name":null,"funder_award_id":"12272056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6789960259","display_name":null,"funder_award_id":"12002057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8367571497","display_name":null,"funder_award_id":"11832002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W599916913","https://openalex.org/W1988245577","https://openalex.org/W2006653482","https://openalex.org/W2019707133","https://openalex.org/W2027734709","https://openalex.org/W2052594677","https://openalex.org/W2068336145","https://openalex.org/W2069360008","https://openalex.org/W2091258180","https://openalex.org/W2098620962","https://openalex.org/W2147905400","https://openalex.org/W2727408958","https://openalex.org/W2772364893","https://openalex.org/W2789244773","https://openalex.org/W2886567827","https://openalex.org/W2889004626","https://openalex.org/W2948996113","https://openalex.org/W3005492387","https://openalex.org/W3034368502","https://openalex.org/W3048903719","https://openalex.org/W3080816483","https://openalex.org/W3093235883","https://openalex.org/W3109225730","https://openalex.org/W3110688296","https://openalex.org/W3130259673","https://openalex.org/W3132954845","https://openalex.org/W3134635177","https://openalex.org/W3157365787","https://openalex.org/W3160418995","https://openalex.org/W3160928082","https://openalex.org/W3169430516","https://openalex.org/W3171405652","https://openalex.org/W3171959819","https://openalex.org/W3180688089","https://openalex.org/W3183830246","https://openalex.org/W3197033998","https://openalex.org/W3202912796","https://openalex.org/W3204043269","https://openalex.org/W3204244129","https://openalex.org/W3205100336","https://openalex.org/W3205379032","https://openalex.org/W3208914106","https://openalex.org/W4200329681","https://openalex.org/W4207017483","https://openalex.org/W4210629655","https://openalex.org/W4220987165","https://openalex.org/W4221122869","https://openalex.org/W4221135690","https://openalex.org/W4223487559","https://openalex.org/W4223891120","https://openalex.org/W4224904033","https://openalex.org/W4226270526","https://openalex.org/W4226326514","https://openalex.org/W4229019045","https://openalex.org/W4280622679","https://openalex.org/W4281488568","https://openalex.org/W4281556418","https://openalex.org/W4283782042","https://openalex.org/W4283789443","https://openalex.org/W4283805841","https://openalex.org/W4284885552","https://openalex.org/W4285899984","https://openalex.org/W4308943829"],"related_works":["https://openalex.org/W2363967645","https://openalex.org/W2358332696","https://openalex.org/W2910982703","https://openalex.org/W2364131922","https://openalex.org/W2001538945","https://openalex.org/W2357372026","https://openalex.org/W1986679544","https://openalex.org/W4285124118","https://openalex.org/W2364749508","https://openalex.org/W2376734633"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"modeling":[3],"and":[4,27,66,95,98,113,151,163],"free":[5],"vibration":[6],"analysis":[7],"of":[8,19,40,52,55,73,80,103,123,128,137,145,154],"variable":[9,25],"stiffness":[10],"system":[11,105],"for":[12],"the":[13,33,41,46,56,71,78,85,100,104,108,120,124,134,143,148,155,159],"truncated":[14],"sandwich":[15],"conical":[16],"shell":[17],"made":[18],"porous":[20],"aluminum":[21,57],"foam":[22,58],"core":[23,42,156],"with":[24,119],"thickness":[26,39,146],"carbon":[28],"fiber":[29],"face":[30],"sheets":[31],"under":[32],"simply":[34],"supported":[35],"boundary":[36],"condition.":[37],"The":[38,111,126],"layer":[43,157],"varies":[44],"along":[45,70],"longitudinal":[47],"direction.":[48],"Five":[49],"different":[50],"types":[51],"porosity":[53,129,132],"distribution":[54,130],"core,":[59],"which":[60],"contains":[61],"Type-X,":[62],"Type-O,":[63],"Type-U,":[64],"Type-V":[65],"Type-[Formula:":[67],"see":[68],"text]":[69],"direction":[72],"thickness,":[74],"are":[75,115,166],"considered.":[76],"Considering":[77],"effect":[79],"thermal":[81],"environment,":[82],"we":[83],"derive":[84],"nonlinear":[86],"dynamic":[87],"equations":[88],"based":[89],"on":[90,158],"first-order":[91],"shear":[92],"deformation":[93],"theory":[94],"Hamilton\u2019s":[96],"principle,":[97],"obtain":[99],"natural":[101,160],"frequencies":[102],"by":[106,117],"employing":[107],"Galerkin":[109],"method.":[110],"comparison":[112],"validation":[114],"conducted":[116],"contrast":[118],"determined":[121],"results":[122],"literature.":[125],"influences":[127],"pattern,":[131],"coefficient,":[133],"total":[135],"number":[136],"layers,":[138],"temperature":[139],"increment,":[140],"semi-vertex":[141],"angle,":[142],"exponent":[144],"function,":[147],"minimum":[149],"radius-thickness":[150],"length-thickness":[152],"ratio":[153],"frequencies,":[161],"modal":[162],"mode":[164],"shapes":[165],"studied":[167],"comprehensively.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":5}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2025-10-10T00:00:00"}