Mathematical modeling and solution of nonlinear vibration problem of laminated plates with CNT originating layers interacting with two-parameter elastic foundation

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dc.contributor.authorAvey M.
dc.contributor.authorKadıoğlu, F.
dc.contributor.authorAhmetolan, S.
dc.contributor.authorFantuzzi, N.
dc.date.accessioned2023-05-11T12:15:34Z
dc.date.available2023-05-11T12:15:34Z
dc.date.issued2023en_US
dc.departmentRektörlük, Üniversite-İş Dünyası İlişkileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractGeneralizing the first-order shear deformation plate theory (FOPT) proposed by Ambartsumyan (Theory of anisotropic plates, Nauka, Moscow, 1967 (in Russian)) to the heterogeneous laminated nanocomposite plates and the nonlinear vibration problem is analytically solved taking into account an elastic medium in this study for the first time. The Pasternak-type elastic foundation model (PT-EF) is used as the elastic medium model. After creating the mathematical models of laminated rectangular plates with CNT originating layers on the PT-EF, the large amplitude stress–strain relationships and motion equations are derived in the form of nonlinear partial differential equations (PDEs) within FOPT. Then, by applying Galerkin's method to the derived equations, it is reduced to a nonlinear ordinary differential equation (NL-ODE) containing the second- and third-order nonlinear terms of the deflection function for laminated rectangular plates composed of nanocomposite layers. The NL-ODE is solved by the semi-inverse method, and the nonlinear frequency–amplitude relationship for the laminated plates consisting of CNT originating layers resting on the PT-EF is established within FOPT for the first time. From these relations, similar relations can be obtained particularly for the unconstrained laminated and monolayer CNT patterns plates. After comparing the accuracy of the obtained formulas with the reliable results in the literature, comprehensive numerical analyses are performed.en_US
dc.identifier.doi10.1007/s40430-023-04016-0en_US
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85149521676en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/6609
dc.identifier.urihttps://doi.org/10.1007/s40430-023-04016-0
dc.identifier.volume45en_US
dc.identifier.wosWOS:000942837000001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject74E05; 74E30; 74G10; 74H45; 74K20; Carbon nanotubes; Laminated nanocomposite plates; Nonlinear free vibration; Surrounding mediaen_US
dc.titleMathematical modeling and solution of nonlinear vibration problem of laminated plates with CNT originating layers interacting with two-parameter elastic foundationen_US
dc.typeArticleen_US

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