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Finite element formulation for nano-scaled beam elements

dc.contributor.authorCivalek, Ömer
dc.contributor.authorUzun, Buşra
dc.contributor.authorYaylı, Mustafa Özgür
dc.contributor.buuauthorYAYLI, MUSTAFA ÖZGÜR
dc.contributor.buuauthorUZUN, BÜŞRA
dc.contributor.departmentBursa Uludağ Üniversitesi/Mühendislik Fakültesi/İnşaat Mühendisliği Bölümü
dc.contributor.orcid0000-0003-1907-9479
dc.contributor.orcid0000-0003-2231-170X
dc.contributor.researcheridABE-6914-2020
dc.contributor.researcheridAAJ-6390-2021
dc.date.accessioned2024-06-06T10:34:59Z
dc.date.available2024-06-06T10:34:59Z
dc.date.issued2021-12-02
dc.description.abstractIn the present study, size-dependent buckling and free vibration behaviors of single-walled boron nitride nanotube (SWBNNT) are performed in conjunction with various size-dependent elasticity theories. Modified couple stress theory (MCST) and Eringen's nonlocal elasticity theory are used for size-dependent models of SWBNNT. Also, the buckling loads and frequencies are obtained by using local theory to emphasize the effects and differences of these size-dependent theories. Consequently, three different elasticity theories (two non-classical and one classical) are utilized to achieve the detailed buckling and vibration analyses of SWBNNT. In this study, the buckling loads and frequencies of SWBNNTs are obtained via presented finite element formulation. In the finite element procedures based on two different size-dependent elasticity theories, matrices containing the small size parameter are derived. With these matrices containing the small size parameters, eigenvalue problems for buckling and free vibration analyses are formed. The buckling loads and frequency values of the SWBNNTs under the size effect are obtained. The influences of the dimensionless nonlocal parameter, dimensionless material length scale parameter, length-to-diameter ratio and boundary conditions on nanotube's buckling and vibration characteristics are investigated. In addition to these influences, the rotary inertia effect neglected in many other studies is also examined.
dc.identifier.doi10.1002/zamm.202000377
dc.identifier.eissn1521-4001
dc.identifier.issn0044-2267
dc.identifier.issue3
dc.identifier.urihttps://doi.org/10.1002/zamm.202000377
dc.identifier.urihttps://onlinelibrary.wiley.com/doi/10.1002/zamm.202000377
dc.identifier.urihttps://hdl.handle.net/11452/41828
dc.identifier.volume102
dc.identifier.wos000725083600001
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherWiley
dc.relation.journalZamm-zeitschrift Fur Angewandte Mathematik Und Mechanik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectWalled carbon nanotube
dc.subjectFunctionally graded nanobeams
dc.subjectFree-vibration analysis
dc.subjectCouple stress theory
dc.subjectNonlocal elasticity
dc.subjectBuckling analysis
dc.subjectDynamic-analysis
dc.subjectModel
dc.subjectTimoshenko
dc.subjectMicrotubules
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectTechnology
dc.subjectMathematics, applied
dc.subjectMechanics
dc.subjectMathematics
dc.titleFinite element formulation for nano-scaled beam elements
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationf9782842-abc1-42a9-a3c2-76a6464363be
relation.isAuthorOfPublicationb6065bca-cfbf-46a6-83bc-4d662b46f3df
relation.isAuthorOfPublication.latestForDiscoveryf9782842-abc1-42a9-a3c2-76a6464363be

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