{"id":"https://openalex.org/W2010416664","doi":"https://doi.org/10.4028/www.scientific.net/kem.486.107","title":"Free Vibration of a Thin Shell Structure of Rectangular Cross-Section","display_name":"Free Vibration of a Thin Shell Structure of Rectangular Cross-Section","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2010416664","doi":"https://doi.org/10.4028/www.scientific.net/kem.486.107","mag":"2010416664"},"language":"en","primary_location":{"id":"doi:10.4028/www.scientific.net/kem.486.107","doi":"https://doi.org/10.4028/www.scientific.net/kem.486.107","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/kem.486.107","pdf_url":null,"source":{"id":"https://openalex.org/S75411654","display_name":"Key engineering materials","issn_l":"1013-9826","issn":["1013-9826","1662-9795","1662-9809"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","vabb-shw"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Key Engineering Materials","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.4028/www.scientific.net/kem.486.107","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091155841","display_name":"Yue Hua Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Hua Chen","raw_affiliation_strings":["Harbin Engineering University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Engineering University","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036442936","display_name":"Jin Guo","orcid":"https://orcid.org/0000-0002-9507-2394","observed_orcids":["https://orcid.org/0000-0002-9507-2394"]},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guo Yong Jin","raw_affiliation_strings":["Harbin Engineering University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Engineering University","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038574014","display_name":"Zhi Gang Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Gang Liu","raw_affiliation_strings":["Harbin Engineering University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harbin Engineering University","institution_ids":["https://openalex.org/I151727225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151727225"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15583909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"486","issue":null,"first_page":"107","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.8651999831199646,"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":0.8651999831199646,"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":0.11760000139474869,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13261","display_name":"Elasticity and Wave Propagation","score":0.005200000014156103,"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":0.9959999918937683},{"id":"https://openalex.org/keywords/thin-shells","display_name":"thin shells","score":0.7239999771118164},{"id":"https://openalex.org/keywords/rectangular-cross-section","display_name":"rectangular cross-section","score":0.7540000081062317},{"id":"https://openalex.org/keywords/general-boundary-conditions","display_name":"general boundary conditions","score":0.7649999856948853},{"id":"https://openalex.org/keywords/flexural-vibration","display_name":"flexural vibration","score":0.9459999799728394},{"id":"https://openalex.org/keywords/in-plane-vibration","display_name":"in-plane vibration","score":0.9990000128746033},{"id":"https://openalex.org/keywords/mode-shapes","display_name":"mode shapes","score":0.6309999823570251},{"id":"https://openalex.org/keywords/rayleigh-ritz-method","display_name":"Rayleigh-Ritz method","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C2781052500","wikidata":"https://www.wikidata.org/wiki/Q2230313","display_name":"Shell (structure)","level":2,"score":0.7569994926452637},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.7413895726203918},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.6181886196136475},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5827271342277527},{"id":"https://openalex.org/C52234038","wikidata":"https://www.wikidata.org/wiki/Q17128025","display_name":"Cross section (physics)","level":2,"score":0.5725306868553162},{"id":"https://openalex.org/C70940138","wikidata":"https://www.wikidata.org/wiki/Q852247","display_name":"Rayleigh\u2013Ritz method","level":3,"score":0.5662825107574463},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.5454502701759338},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.5353897213935852},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5295644402503967},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4773830771446228},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.47051018476486206},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.427349328994751},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4265177845954895},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2857285737991333},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2742752432823181},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2685830891132355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24224171042442322},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.1838613748550415},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1749316155910492},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10749846696853638},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09955224394798279},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4028/www.scientific.net/kem.486.107","doi":"https://doi.org/10.4028/www.scientific.net/kem.486.107","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/kem.486.107","pdf_url":null,"source":{"id":"https://openalex.org/S75411654","display_name":"Key engineering materials","issn_l":"1013-9826","issn":["1013-9826","1662-9795","1662-9809"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","vabb-shw"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Key Engineering Materials","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4028/www.scientific.net/kem.486.107","doi":"https://doi.org/10.4028/www.scientific.net/kem.486.107","is_oa":true,"landing_page_url":"https://doi.org/10.4028/www.scientific.net/kem.486.107","pdf_url":null,"source":{"id":"https://openalex.org/S75411654","display_name":"Key engineering materials","issn_l":"1013-9826","issn":["1013-9826","1662-9795","1662-9809"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1","vabb-shw"],"host_organization":"https://openalex.org/P4310317839","host_organization_name":"Trans Tech Publications","host_organization_lineage":["https://openalex.org/P4310317839"],"host_organization_lineage_names":["Trans Tech Publications"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Key Engineering Materials","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1549752787","https://openalex.org/W1963921105","https://openalex.org/W1964303336","https://openalex.org/W1985797048","https://openalex.org/W1988741213","https://openalex.org/W2007684924"],"related_works":["https://openalex.org/W3029371644","https://openalex.org/W2183523591","https://openalex.org/W2082620383","https://openalex.org/W2046946169","https://openalex.org/W2698582010","https://openalex.org/W1971265041","https://openalex.org/W2086582938","https://openalex.org/W2079041520","https://openalex.org/W7154166307","https://openalex.org/W2088148235"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"an":[3],"analysis":[4],"on":[5],"the":[6,37,50,64,68,71,77,80,89,93],"free":[7],"vibration":[8],"of":[9,13,18,47,70,92],"a":[10,98],"shell":[11,17],"structure":[12],"rectangular":[14,19,25],"cross-section.":[15],"The":[16],"cross-section":[20],"is":[21,73,86],"modeled":[22],"by":[23,62,75],"four":[24],"panels":[26],"elastically":[27],"connected":[28],"at":[29],"right":[30],"angles":[31],"under":[32],"general":[33,38],"boundary":[34,39],"conditions.":[35],"With":[36],"and":[40,57,67],"coupling":[41],"conditions":[42],"accounted":[43],"for":[44,54],"several":[45],"groups":[46],"linear":[48],"springs,":[49],"double":[51],"series":[52],"solutions":[53],"both":[55],"flexural":[56],"in-plane":[58],"vibrations":[59],"are":[60],"obtained":[61],"employing":[63],"Rayleigh-Ritz":[65],"method":[66],"validation":[69],"calculations":[72],"proved":[74],"comparing":[76],"eigenpairs":[78],"with":[79],"Finite":[81],"Element":[82],"Method":[83],"results.":[84],"It":[85],"shown":[87],"that":[88],"mode":[90],"shapes":[91],"rigidly":[94],"coupled":[95],"model":[96],"perform":[97],"symmetrical":[99],"feature.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2016-06-24T00:00:00"}
