Longitudinal vibration of double nanorod systems using doublet mechanics theory

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dc.contributor.authorAydogdu, Metin
dc.contributor.authorGul, Ufuk
dc.date.accessioned2024-06-12T10:59:46Z
dc.date.available2024-06-12T10:59:46Z
dc.date.issued2020
dc.departmentTrakya Üniversitesien_US
dc.description.abstractThis paper investigates the free and forced longitudinal vibration of a double nanorod system using doublet mechanics theory. The doublet mechanics theory is a multiscale theory spanning between lattice dynamics and continuum mechanics. Equations of motion and boundary conditions for the double nanorod system are obtained using Hamilton's principle. Clamped-clamped and clamped-free boundary conditions are considered. Frequencies and dynamic displacements are determined to demonstrate the effects of length scale parameter of considered material and geometry of the nanorods. It is shown that frequencies obtained by the doublet mechanics theory are bounded from above (van Hove singularity) and unlike classical elasticity theory doublet mechanics theory predicts finite number of modes depending on the length of the nanotube. The present doublet mechanics results have been compared to molecular dynamics, experimental and nonlocal theory results and good agreement is observed between the present and other mentioned results. The difference between wave frequencies of graphite is less than 10% between doublet mechanics and experimental results near to the end of the first Brillouin zone.en_US
dc.identifier.doi10.12989/sem.2020.73.1.037
dc.identifier.endpage52en_US
dc.identifier.issn1225-4568
dc.identifier.issn1598-6217
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85087000707en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage37en_US
dc.identifier.urihttps://doi.org/10.12989/sem.2020.73.1.037
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20572
dc.identifier.volume73en_US
dc.identifier.wosWOS:000507351000004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTechno-Pressen_US
dc.relation.ispartofStructural Engineering And Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDouble Nanorod Systemen_US
dc.subjectDoublet Mechanicsen_US
dc.subjectFree Vibrationen_US
dc.subjectForced Vibrationen_US
dc.subjectWalled Carbon Nanotubesen_US
dc.subjectNonlocal Elasticityen_US
dc.subjectWave-Propagationen_US
dc.subjectSurfaceen_US
dc.subjectInstabilitiesen_US
dc.subjectStabilityen_US
dc.subjectEquationsen_US
dc.subjectNanoflowen_US
dc.titleLongitudinal vibration of double nanorod systems using doublet mechanics theoryen_US
dc.typeArticleen_US

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