Approximate frequency analysis of isotropic shear beams using initial value method

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dc.authorid0000-0002-4338-8549
dc.authorid0000-0003-2931-9501
dc.authorid0000-0002-2681-6054
dc.contributor.authorArtan, Reha
dc.contributor.authorNur, Ceyda
dc.contributor.authorGuclu, Gokhan
dc.contributor.authorDemirkan, Erol
dc.contributor.authorCelik, Murat
dc.date.accessioned2026-04-04T18:55:22Z
dc.date.available2026-04-04T18:55:22Z
dc.date.issued2024
dc.departmentİstanbul Bilgi Üniversitesi
dc.description.abstractThis study investigates the vibration of isotropic shear beams (ISBs) using the unified shear deformation theory for various shear stress distribution functions. The governing differential equations and boundary conditions are obtained using the principle of virtual work. Using the initial values method, the first five frequencies for various end conditions were calculated with four digits. Frequencies for different shear stress distributions can be easily determined using the approximate transfer matrices provided in this study. To verify the accuracy of the obtained results, we compared the frequencies with the findings in the existing literature.
dc.description.sponsorshipAlexander von Humboldt Foundation
dc.description.sponsorshipThe work reported here is supported by the Alexander von Humboldt Foundation.
dc.identifier.doi10.1007/s10665-024-10401-y
dc.identifier.doi10.1007/s10665-024-10401-y
dc.identifier.issn0022-0833
dc.identifier.issn1573-2703
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85206125415
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s10665-024-10401-y
dc.identifier.urihttps://hdl.handle.net/11411/10393
dc.identifier.volume148
dc.identifier.wosWOS:001328472600001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Engineering Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260402
dc.snmzKA_Scopus_20260402
dc.subjectIsotropic Shear Beams
dc.subjectInitial Values Method
dc.subjectTransfer Matrix
dc.subjectApproximate Transfer Matrix
dc.subjectVibrration Of Shear Beams
dc.subjectMatricant
dc.titleApproximate frequency analysis of isotropic shear beams using initial value method
dc.typeArticle

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