Free vibration analysis of carbon nanotube RC nanobeams with variational approaches

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dc.contributor.authorMadenci, Emrah
dc.date.accessioned2024-02-23T14:29:18Z
dc.date.available2024-02-23T14:29:18Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractThere is not enough mixed finite element method (MFEM) model developed for dynamic analysis of carbon nanotube reinforced (CNTRC) composite beams in the literature. In the present study, free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) nanobeams is carried out in the framework of variational formulations. The rule of mixture is employed to estimate the effective material properties of single-walled CNT reinforced nanobeams. Four kinds of CNT distribution of un-axially aligned reinforcement material are investigated in the through thickness direction of the nanobeams. There are the uniform distribution (UD) and functionally graded distributions FG-O, FGX and FG-Lambda of CNTs in the thickness direction of the nanobeams (z axis direction) are assumed here for the analysis. The Hamilton's principle is used to derive governing differential equations based on trigonometric shear deformation beam theory. The effective functional has been constituted for FG-CNTRC nanobeams through a scientific procedure based on the Gateaux differential. A simple mixed finite element formulation is utilized for the formulation of free vibration problems of FG-CNTRC nanobeams with different boundary conditions. The results of the present method are compared with others from the literature where a good agreement has been found. An effective energy functional and the mixed finite element formulation for FGCNTRC nanobeams are the original contributions of this study.en_US
dc.identifier.doi10.12989/anr.2021.11.2.157
dc.identifier.endpage171en_US
dc.identifier.issn2287-237X
dc.identifier.issn2287-2388
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85118785421en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage157en_US
dc.identifier.urihttps://doi.org/10.12989/anr.2021.11.2.157
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14648
dc.identifier.volume11en_US
dc.identifier.wosWOS:000687181100003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTechno-Pressen_US
dc.relation.ispartofAdvances In Nano Researchen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCarbon Nanotubeen_US
dc.subjectFree Vibrationen_US
dc.subjectFunctionally Gradeden_US
dc.subjectHigh-Order Theoryen_US
dc.subjectMixed Finite Element Methoden_US
dc.titleFree vibration analysis of carbon nanotube RC nanobeams with variational approachesen_US
dc.typeArticleen_US

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