Free vibration and static analysis of functionally graded beams with the higher-order finite element model

Basit Öğe Kaydı
dc.contributor.authorTuran, Muhittin
dc.contributor.authorHacioğlu, Mahmut İlter
dc.date.accessioned2026-02-28T12:09:03Z
dc.date.available2026-02-28T12:09:03Z
dc.date.issued2023
dc.departmentBayburt Üniversitesi
dc.description.abstractIn this study, free vibration and static analysis of functionally graded (FG) beams with the finite element method based on high-order shear deformation beam theory are investigated. A finite element with 5 nodes and 16 degrees of freedom is proposed for the finite element method. The material property of the FG beam changes depending on a specific power-law function along the beam thickness. Equilibrium equations are derived from the Lagrange's equation. Dimensionless natural frequencies, dimensionless displacements, and dimensionless normal and shear stresses of FG beam were obtained according to different power-law indexes (p), various boundary conditions, and various slenderness (L/h). The results obtained from the study were compared with the literature and it was seen that the proposed finite element gave very good results for FG beams. It is concluded that the proposed high-order shear deformation beam element can be used to solve such problems. With the power-law index value increase, the dimensionless natural frequencies decrease while the dimensionless maximum displacements increase. © 2023, Gumushane University. All rights reserved.
dc.identifier.doi10.17714/gumusfenbil.1185301
dc.identifier.endpage431
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105004018123
dc.identifier.startpage414
dc.identifier.trdizinid1187345
dc.identifier.urihttps://doi.org/10.17714/gumusfenbil.1185301
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1187345
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5808
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isotr
dc.publisherGumushane University
dc.relation.ispartofGumushane Universitesi Fen Bilimleri Dergisi
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_Scopus_20260218
dc.subjectFinite element method
dc.subjectFree vibration analysis
dc.subjectFunctionally graded beam
dc.subjectHigher-order shear deformation beam theory
dc.subjectStatic analysis
dc.titleFree vibration and static analysis of functionally graded beams with the higher-order finite element model
dc.title.alternativeYüksek mertebe sonlu eleman modeliyle fonksiyonel derecelendirilmiş kirişlerin serbest titreşim ve statik analizi
dc.typeArticle

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu