Nonlinear dynamic and stability of a beam resting on the nonlinear elastic foundation under thermal effect based on the finite strain theory

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dc.authorid0000-0001-5327-3406en_US
dc.authorscopusid36443263300en_US
dc.contributor.authorAlimoradzadeh M.
dc.contributor.authorAkbaş, Şeref Doǧuşcan
dc.contributor.authorEsfrajani S.M.
dc.date.accessioned2022-01-27T06:27:58Z
dc.date.available2022-01-27T06:27:58Z
dc.date.issued2021en_US
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.description.abstractNonlinear free vibration and thermal buckling of a beam resting on nonlinear are investigated in this study. In the nonlinear kinematic relations, the finite strain theory is used with Euler-Bernoulli and Hamilton's principle is employed to derive the nonlinear governing of motion. The Galerkin's method is applied to simplify the governing nonlinear partially differential equation to the nonlinear ordinary differential equation. In addition, He's variational method is employed to obtain an analytical expression for the nonlinear natural frequency and thermal buckling temperature. In this study, a comparison between the finite strain theory and the von Kármán Theory is presented and the results shows that the finite strain theory gives more accurate results than the von Kármán Theory for nonlinear natural frequency and thermal buckling temperature. In the numerical results, the effect of different parameters such as linear and nonlinear coefficients of the elastic foundation, boundary conditions and the amplitude of the oscillation on the thermal buckling temperature and the nonlinear natural frequency investigated.en_US
dc.identifier.doi10.12989/sem.2021.80.3.275en_US
dc.identifier.endpage284en_US
dc.identifier.issn12254568
dc.identifier.issue3en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage275en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12885/1813
dc.identifier.volume80en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAkbaş, Şeref Doǧuşcan
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.subjectFinite strain theoryen_US
dc.subjectHe's variational methoden_US
dc.subjectNonlinear thermal bucklingen_US
dc.subjectNonlinear vibrationen_US
dc.titleNonlinear dynamic and stability of a beam resting on the nonlinear elastic foundation under thermal effect based on the finite strain theoryen_US
dc.typeArticleen_US

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