Vibrations of isotropic, orthotropic and laminated composite plates with various boundary conditions
Vibracije izotropnih, ortotropnih i laminatnih kompozitnih ploča sa različitim graničnim uslovima oslanjanja
dc.creator | Ćetković, Marina | |
dc.creator | Vuksanović, Đorđe | |
dc.date.accessioned | 2019-04-19T14:18:00Z | |
dc.date.available | 2019-04-19T14:18:00Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1820-6530 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/424 | |
dc.description.abstract | In this paper Generalized Layer Wise Plate Theory of Reddy (GLPT) is used to formulate an isoparametric finite element model for free vibrations of isotropic, orthotropic and laminated composite plates. With the assumed displacement field, linear strain displacement relations and linear elastic orthotropic material properties for each lamina, governing differential equations of motion are derived using Hamilton‘s principle. Virtual work statement is then utilized to formulate isoparametric finite element model. The original MATLAB computer program is coded for finite element solution. The parametric effects of plate aspect ratio b / a , side-tothickness ratio a / h , degree of orthotropy 1 2 E / E and boundary conditions on free vibration response of isotropic, orthotropic and anisotropic plates are analyzed. The accuracy of the present formulation is demonstrated through a number of examples and by comparison with results available from the literature. | en |
dc.description.abstract | U ovom radu primenom Opšte laminatne teorije ploča (Generalized Layerwise Plate Theory-GLPT), koju je postavio Reddy, formulisan je izoparametarski model konačnog elementa za problem slobodnih vibracija izotropnih, ortotropnih i laminatnih kompozitnih ploča. Osnovne diferencijalne jednačine kretanja izvedene su primenom Hamilton-ovog principa, koristeći pretpostavljeno polje pomeranja, linearne veze deformacija i pomeranja i linearno elastičan ortotropan materijal za svaku od lamina. Princip virtuelnog rada potom je iskorišćen za formulisanje izoparametarskog modela konačnog elementa. Originalni računarski program napisan je za rešenje po Metodi konačnih elemenata, koristeći MATLAB programski jezik. Analiziran je parametarski uticaj odnosa strana ploče , strane prema debljini ploče , stepena ortotropije i graničnih uslova na slobodne vibracije izotropnih, ortotropnih i anizotropnih ploča. Tačnost predstavljene formulacije potvrđena je kroz niz primera i njihovim poređenjem sa rešenjima iz literature. | sr |
dc.publisher | Univerzitet u Kragujevcu - Fakultet inženjerskih nauka, Kragujevac | |
dc.relation | info:eu-repo/grantAgreement/MESTD/Technological Development (TD or TR)/36048/RS// | |
dc.rights | openAccess | |
dc.source | Journal of Serbian Society for Computational Mechanics | |
dc.subject | free vibration analysis | en |
dc.subject | layerwise finite element | en |
dc.subject | boundary conditions | en |
dc.subject | slobodne vibracije | sr |
dc.subject | slojeviti konačni element | sr |
dc.subject | granični uslovi | sr |
dc.title | Vibrations of isotropic, orthotropic and laminated composite plates with various boundary conditions | en |
dc.title | Vibracije izotropnih, ortotropnih i laminatnih kompozitnih ploča sa različitim graničnim uslovima oslanjanja | sr |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 96 | |
dc.citation.issue | 1 | |
dc.citation.other | 6(1): 83-96 | |
dc.citation.rank | M53 | |
dc.citation.spage | 83 | |
dc.citation.volume | 6 | |
dc.identifier.fulltext | https://grafar.grf.bg.ac.rs//bitstream/id/3857/422.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_grafar_424 | |
dc.identifier.scopus | 2-s2.0-84872866752 | |
dc.type.version | publishedVersion |