Nonlinear wave modulation in nanorods using nonlocal elasticity theory

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dc.contributor.authorGaygusuzoglu, Guler
dc.contributor.authorAydogdu, Metin
dc.contributor.authorGul, Ufuk
dc.date.accessioned2019-06-25T11:00:13Z
dc.date.available2019-06-25T11:00:13Z
dc.date.issued2018
dc.departmentFakülteler, Mühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.descriptionAydogdu, Metin (Trakya author) Gul, Ufuk (Trakya author)en_US
dc.description.abstractIn this study, nonlinear wave modulation in nanorods is examined on the basis of nonlocal elasticity theory. Eringen's nonlocal elasticity theory is employed to derive nonlinear equations for the motion of nanorods. The analysis of the modulation of axial waves in nonlocal elastic media is performed, and the reductive perturbation method is used for the solution of the nonlinear equations. The propagation of weakly nonlinear and strongly dispersive waves is investigated, and the nonlinear Schrodinger (NLS) equation is acquired as an evolution equation. For the purpose of a numerical investigation of the nonlocal impacts on the NLS equation, it has been investigated whether envelope solitary wave solutions exist by utilizing the physical and geometric features of the carbon nanotubes. Amplitude dependent wave frequencies, phase and group velocities have been obtained and they have compared for the linear local, the linear nonlocal, the nonlinear local and the nonlinear nonlocal cases.en_US
dc.identifier.citationGaygusuzoglu, G., Aydogdu, M., & Gul, U. (2018). Nonlinear Wave Modulation in Nanorods Using Nonlocal Elasticity Theory. International Journal of Nonlinear Sciences and Numerical Simulation, 19(7-8), 709-719.en_US
dc.identifier.doi10.1515/ijnsns-2017-0225en_US
dc.identifier.endpage719en_US
dc.identifier.issue7-8en_US
dc.identifier.scopus2-s2.0-85055650700en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage709en_US
dc.identifier.urihttps://doi.org/10.1515/ijnsns-2017-0225
dc.identifier.urihttps://hdl.handle.net/20.500.14551/4214
dc.identifier.volume19en_US
dc.identifier.wosWOS:000451785600004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter de Gruyter Gmbhen_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240608_ID_Qen_US
dc.subjectNanorodsen_US
dc.subjectNonlocal Elasticityen_US
dc.subjectWave Modulationen_US
dc.subjectReductive Perturbation Techniqueen_US
dc.subjectThermal-Mechanical Vibrationen_US
dc.subjectLongitudinal Magnetic-Fielden_US
dc.subjectWalled Carbon Nanotubeen_US
dc.subjectPropagationen_US
dc.subjectInstabilityen_US
dc.subjectModelen_US
dc.subjectEquationsen_US
dc.subjectMediaen_US
dc.titleNonlinear wave modulation in nanorods using nonlocal elasticity theoryen_US
dc.typeArticleen_US

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