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On the nonlinear vibration of heterogenous orthotropic shallow shells in the framework of the shear deformation shell theory

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dc.creator Sofiyev, A. H.
dc.creator Turan, F.
dc.date 2021-04-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:19:32Z
dc.date.available 2021-12-03T11:19:32Z
dc.identifier 2db98ef9-a0c8-4a92-a5ae-90d5c2219a82
dc.identifier 10.1016/j.tws.2020.107181
dc.identifier https://avesis.sdu.edu.tr/publication/details/2db98ef9-a0c8-4a92-a5ae-90d5c2219a82/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/90661
dc.description In this study, the nonlinear vibration of heterogeneous orthotropic shallow shells (HTOSSs) is investigated. The first order shear deformation theory (FSDT) is generalized to the non-linear vibration problem of HTOSSs for the first time. After the presentation of visual and mathematical models of HTOSSs, the von-Karman type nonlinear basic relations of HTOSSs are created and then the non-linear equations of motion are derived depending on the rotation angles, Airy stress and deflection functions. Then, applying superposition, Galerkin and semi-inverse methods to the nonlinear differential equations, the frequency-amplitude relation of non-linear vibration of HTOSSs is obtained. The frequency-amplitude relation within the classical shell theory (CST) is obtained in a special case. After checking the reliability of the proposed formulation and the accuracy of the results in accordance with the available literature, a systematic study is aimed at checking the sensitivity of the dynamic response to the shear stresses, nonlinearity, heterogeneity, orthotropy and different geometric characteristics.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On the nonlinear vibration of heterogenous orthotropic shallow shells in the framework of the shear deformation shell theory
dc.type info:eu-repo/semantics/article


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