Dynamic analysis of functionally graded beams with periodic nanostructures

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dc.contributor.authorGul, Ufuk
dc.contributor.authorAydogdu, Metin
dc.date.accessioned2024-06-12T10:59:47Z
dc.date.available2024-06-12T10:59:47Z
dc.date.issued2021
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIt is known from experimental studies that softening or hardening material behaviours of nanostructures change with the microstructure of the considered material. However, most of the size dependent continuum models (nonlocal stress gradient, strain gradient and couple stress theories) predict only softening or hardening material behaviour. Except of these size dependent theories doublet mechanics predicts both softening and hardening responses of the material like experiments in micro/nano-structures. In the present study, free vibration analysis of functionally graded (FG) periodic structure nanobeams are investigated via doublet mechanics theory. Periodic FG nanobeams are modelled as a simple crystal lattice type. Micro strains and stresses are expanded in Taylor series and obtained micro relations transformed to macro stress-strain relations. Thus, by use of bottom-up approach yields the more physical and accurate analysis of nanostructures in the doublet mechanics model. After deriving the mathematical formulation of a periodic FG nanobeam, vibration problem is examined for general boundary conditions. Ritz method is used in the solution. Adjusting of softening and hardening responses of the material gives a beneficial optimization and design of nanostructures.en_US
dc.identifier.doi10.1016/j.compstruct.2020.113169
dc.identifier.issn0263-8223
dc.identifier.issn1879-1085
dc.identifier.scopus2-s2.0-85095579616en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.compstruct.2020.113169
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20576
dc.identifier.volume257en_US
dc.identifier.wosWOS:000604727500014en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofComposite Structuresen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDoublet Mechanicsen_US
dc.subjectBottom-Up Approachen_US
dc.subjectFunctionally Graded Periodic Nanobeamsen_US
dc.subjectRitz Methoden_US
dc.subjectVibrationen_US
dc.subjectFree-Vibration Analysisen_US
dc.subjectBuckling Analysisen_US
dc.subjectStatic Analysisen_US
dc.subjectEuleren_US
dc.titleDynamic analysis of functionally graded beams with periodic nanostructuresen_US
dc.typeArticleen_US

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