Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams

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dc.authorid0000-0002-9703-9467
dc.authorid0000-0003-2669-6459
dc.contributor.authorArıbaş, Ümit Necmettin
dc.contributor.authorAydın, Mete
dc.contributor.authorAtalay, Mert
dc.contributor.authorOmurtag, Mehmet Hakkı
dc.date.accessioned2024-01-12T08:41:10Z
dc.date.available2024-01-12T08:41:10Z
dc.date.issued2023
dc.departmentİstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractThe warping may become an important factor for the precise transverse vibrations of curved beams. Thus, the first aim of this study is to specify the structural design parameters where the influence of cross-sectional warping becomes great and the first-order shear deformation theory lacks the precision necessary. The out-of-plane vibrations of the first-order shear deformation theory are compared with the warping-included vibrations as the curvature and/or thickness increase for symmetric and asymmetric transversely-functionally graded (TFG) curved beams. The second aim is to determine the influence of design parameters on the vibrations. The circular/exact elliptical beams are formed via curved mixed finite elements (MFEs) based on the exact curvature and length. The stress-free conditions are satisfied on three-dimensional (3D) constitutive equations. The variation of functionally graded (FG) material constituents is considered based on the power-law dependence. The cross-sectional warping deformations are defined over a displacement-type FE formulation. The warping-included MFEs (W-MFEs) provide satisfactory 3D structural characteristics with smaller degrees of freedom (DOFs) compared with the brick FEs. The Newmark method is used for the forced vibrations.
dc.identifier.citationArıbaş, Ü. N., Aydın, M., Atalay, M. ve Omurtag, M. H. (2023). Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams. Applied Mathematics and Mechanics (English Edition), 44(12), 2109-2138. https://dx.doi.org/10.1007/s10483-023-3065-6
dc.identifier.doi10.1007/s10483-023-3065-6
dc.identifier.endpage2138
dc.identifier.issn0253-4827
dc.identifier.issn1573-2754
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85181219264
dc.identifier.scopusqualityQ1
dc.identifier.startpage2109
dc.identifier.urihttps://dx.doi.org/10.1007/s10483-023-3065-6
dc.identifier.urihttps://hdl.handle.net/20.500.12511/12130
dc.identifier.volume44
dc.identifier.wos001110651300011en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorArıbaş, Ümit Necmettin
dc.institutionauthorAydın, Mete
dc.institutionauthorAtalay, Mert
dc.institutionauthorOmurtag, Mehmet Hakkı
dc.language.isoen
dc.publisherSpringer Science and Business Media B.V.
dc.relation.ispartofApplied Mathematics and Mechanics (English Edition)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.relation.tubitakinfo:eu-repo/grantAgreement/TUBITAK/SOBAG/2209-A
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectMixed Finite Element (MFE)
dc.subjectFree Vibration
dc.subjectForced Vibration
dc.subjectWarping
dc.subjectExact Elliptical Beam
dc.subjectFunctionally Graded (FG) Beam
dc.titleCross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams
dc.typeArticle

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