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

Basit Öğe Kaydı
dc.contributor.authorTuran, Muhittin
dc.contributor.authorUzun Yaylacı, Ecren Uzun
dc.contributor.authorYaylacı, Murat
dc.date.accessioned2026-02-28T12:08:57Z
dc.date.available2026-02-28T12:08:57Z
dc.date.issued2023
dc.departmentBayburt Üniversitesi
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. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
dc.identifier.doi10.1007/s00419-022-02332-w
dc.identifier.endpage1372
dc.identifier.issn09391533
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85143724538
dc.identifier.scopusqualityQ2
dc.identifier.startpage1351
dc.identifier.urihttps://doi.org/10.1007/s00419-022-02332-w
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5731
dc.identifier.volume93
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofArchive of Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260218
dc.subjectArtificial neural network
dc.subjectBuckling
dc.subjectFinite element method
dc.subjectFree vibration
dc.subjectFunctionally graded porous beam
dc.subjectRitz-based analytical solution
dc.titleFree vibration and buckling of functionally graded porous beams using analytical, finite element, and artificial neural network methods
dc.typeArticle

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu