Analysis of forced vibrations

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dc.contributor.authorShitikova, Mariana V.
dc.contributor.authorKandu, Vladimir V.
dc.date.accessioned2022-04-19T11:50:08Z
dc.date.available2022-04-19T11:50:08Z
dc.date.issued2019
dc.descriptionRecently the interest to nonlinear dynamic response of viscoelastic plates or elastic plates vibrating in a viscoelastic surrounding medium has been greatly renewed due to the appearance of advanced materials exhibiting nonlinear behaviour, and a comprehensive review in the field, including experimental results, could be found in (1-6).en_US
dc.description.abstractIn the present paper, the force driven dynamic response of a nonlinear plate embedded in a viscoelastic medium, damping features of which are described by the Kelvin-Voigt fractional derivative model, is studied. The motion of the plate is described by three coupled nonlinear differential equations with due account for the fact that the plate is being under the conditions of the internal combinational resonance accompanied by the external resonance, resulting in the interaction of three modes corresponding to the mutually orthogonal displacements. A comparative analysis of numerical calculations for the cases of free and forced vibrations has been carried out.en_US
dc.description.sponsorshipMinistry of Education and Science of the Russian Federation (Project 9.5138.2017/8.9). World Banken_US
dc.identifier.citationShitikova, M.V., Kandu, V.V. (2019). Analysis of forced vibrations of nonlinear plates in a viscoelastic medium under the conditions of the different combinational internal resonances. DOI:10.22337/2587-9618-2019-15-3-131-148en_US
dc.identifier.issnDOI:10.22337/2587-9618-2019-15-3-131-148
dc.identifier.urihttp://hdl.handle.net/123456789/1394
dc.language.isoen_USen_US
dc.publisherInternational Journal for Computational Civil and Structural Engineering. International Journal for Computational Civil and Structural Engineering, 15(3) 131-148 (2019).en_US
dc.relation.ispartofseries;17
dc.subjectNonlinear vibrations of thin platesen_US
dc.subjectInteraction of internal and external resonancesen_US
dc.subjectFractional derivative viscoelastic surrounding mediumen_US
dc.subjectCombinational internal resonanceen_US
dc.titleAnalysis of forced vibrationsen_US
dc.typeArticleen_US
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