Free vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods

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dc.authoriduzun yaylaci, ecren/0000-0002-2558-2487
dc.authoridYaylaci, Murat/0000-0003-0407-1685
dc.authoridTuran, Muhittin/0000-0002-5703-0580
dc.contributor.authorTuran, Muhittin
dc.contributor.authorUzun Yaylaci, Ecren
dc.contributor.authorYaylaci, Murat
dc.date.accessioned2024-10-04T18:51:01Z
dc.date.available2024-10-04T18:51:01Z
dc.date.issued2023
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, an analytical solution based on the first-order shear deformation theory was performed for free vibration and buckling analysis of functionally graded porous beams (FGM-P) subjected to various boundary conditions. Also, this problem is solved by using finite element (FEM) and artificial neural network (ANN) methods. Here a Ritz-based analytical solution is used, and different polynomial series functions are proposed for each boundary condition. Lagrange's principle was used while deriving the equations of motion. A power-law rule describes the variation of the beam's materials in volume. The normalized fundamental frequencies and critical buckling loads are obtained for various boundary conditions, power-law index (k), slenderness (L/h), porosity coefficient (e), and porosity distribution (FGM-P1, FGM-P2). The polynomial series functions used in this study were verified with the literature, and the numerical results obtained were compared with FEM and ANN. The results obtained are quite compatible with each other.en_US
dc.identifier.doi10.1007/s00419-022-02332-w
dc.identifier.endpage1372en_US
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85143724538en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1351en_US
dc.identifier.urihttps://doi.org/10.1007/s00419-022-02332-w
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3336
dc.identifier.volume93en_US
dc.identifier.wosWOS:000895571000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFree vibrationen_US
dc.subjectBucklingen_US
dc.subjectRitz-based analytical solutionen_US
dc.subjectArtificial neural networken_US
dc.subjectFinite element methoden_US
dc.subjectFunctionally graded porous beamen_US
dc.titleFree vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methodsen_US
dc.typeArticleen_US

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