Nonlinear Wave Interaction of Nanorods Embedded in a Viscoelastic Medium

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dc.contributor.authorGaygusuzoglu, Guler
dc.date.accessioned2024-10-29T17:58:23Z
dc.date.available2024-10-29T17:58:23Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesien_US
dc.description.abstractPurpose Nonlinear interactions between two acoustic waves in nanorods traveling at various wave numbers, group velocities, and frequencies are examined in this study.Methods The nonlinear equation of the nanorod in a viscoelastic medium is obtained using the theory of nonlocal elasticity. Furthermore, the multiple-scale expansion method is applied to study strongly dispersive, weakly nonlinear waves in a nonlocal viscoelastic medium. Using this expansion technique, we can derive the coupled nonlinear Schr & ouml;dinger equations as the governing equations, which we solve as differential equations of some parameters by expanding the field quantities into an asymptotic series of the smallness parameter.Results We give the nonlinear plane wave solutions to these equations in several special cases. The plane wave solutions show how the wave amplitude affects the frequencies of nonlinear plane waves. Additionally, we show numerically how the real and imaginary parts of the group velocities and natural frequency of the system for a carbon nanotube in a viscoelastic medium are affected by the nonlocal, damping, and stiffness parameters.en_US
dc.description.sponsorshipTekirdag Namimath;k Kemal Universityen_US
dc.description.sponsorshipNo Statement Availableen_US
dc.identifier.doi10.1007/s42417-024-01418-9
dc.identifier.issn2523-3920
dc.identifier.issn2523-3939
dc.identifier.scopus2-s2.0-85193755221en_US
dc.identifier.urihttps://doi.org/10.1007/s42417-024-01418-9
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14272
dc.identifier.wosWOS:001228533800002en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofJournal of Vibration Engineering & Technologiesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlocal elasticity theoryen_US
dc.subjectNonlinear wave interactionen_US
dc.subjectMultiple-scale expansion methoden_US
dc.subjectCarbon nanotubesen_US
dc.subjectViscoelastic mediumen_US
dc.titleNonlinear Wave Interaction of Nanorods Embedded in a Viscoelastic Mediumen_US
dc.typeArticleen_US

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