A micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theory

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dc.contributor.authorGul, Ufuk
dc.contributor.authorAydogdu, Metin
dc.date.accessioned2024-06-12T11:08:29Z
dc.date.available2024-06-12T11:08:29Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractA micro-nano-scale Timoshenko-Ehrenfest beam model is investigated using doublet mechanics theory in the present study. The governing equations and all possible boundary conditions are obtained based on doublet mechanics model. The static bending, buckling and vibration problems of Timoshenko microbeams are examined in detail. Deflection, rotation, critical buckling loads and natural frequencies predicted by the present doublet mechanics model are obtained for simply supported micro-scale Timoshenko beams by the Navier solution method. The obtained results are compared to other classical and non-classical continuum theories. To illustrate the present doublet mechanics model, the influences of thickness to length scale parameter ratio of the considered material and slenderness ratio on static bending, buckling and vibration problems are investigated. It is shown that there are two frequency spectrums in the vibration of nanobeams similar to macro Timoshenko beams. It is interesting to note that acceptable physical frequencies (mode numbers) have an upper bound due to Van Hove singularity depending on geometrical and material properties of the beam. That fact is observed first time in the open literature by using scale dependent theories.en_US
dc.identifier.doi10.1016/j.euromechsol.2020.104199
dc.identifier.issn0997-7538
dc.identifier.issn1873-7285
dc.identifier.scopus2-s2.0-85098623536en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.euromechsol.2020.104199
dc.identifier.urihttps://hdl.handle.net/20.500.14551/22459
dc.identifier.volume86en_US
dc.identifier.wosWOS:000612472800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofEuropean Journal Of Mechanics A-Solidsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMicro-Nano-Scale Timoshenko Beamen_US
dc.subjectDoublet Mechanicsen_US
dc.subjectBendingen_US
dc.subjectBucklingen_US
dc.subjectVibrationen_US
dc.subjectWalled Carbon Nanotubesen_US
dc.subjectNatural Frequenciesen_US
dc.subjectEuler-Bernoullien_US
dc.subjectStress-Drivenen_US
dc.subjectNanoen_US
dc.subjectDynamicsen_US
dc.subjectPropagationen_US
dc.subjectElasticityen_US
dc.subjectPlasticityen_US
dc.subjectDispersionen_US
dc.titleA micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theoryen_US
dc.typeArticleen_US

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