Nonlinear vibrations of functionally graded shallow shells of a complex planform in thermal environments

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dc.contributor.authorAwrejcewicz, Janen
dc.contributor.authorKurpa, Lidiyaen
dc.contributor.authorShmatko, Tatianaen
dc.date.accessioned2022-11-03T19:26:37Z
dc.date.available2022-11-03T19:26:37Z
dc.date.issued2017
dc.description.abstractGeometrically nonlinear vibrations of FGM shallow shells of an arbitrary planform subjected to thermal environment are investigated with the use of R-functions theory and variational methods. Nonlinear firstorder shear deformation shallow shells are employed. Material properties are assumed to be temperaturedependent and varying along the thickness direction accordingly to Voigt’s law. The developed method is based on the combined applications of R-functions theory, variational Ritz’s method, procedure by Bubnov-Galerkin, and Runge-Kutta’s approach. The effect of the temperature rise, geometry of the shell, and constituent volume fraction index is examined. A comparison of the obtained results with available ones is also carried out for rectangular plates and shallow shells.en
dc.identifier.citationAwrejcewicz J. Nonlinear vibrations of functionally graded shallow shells of a complex planform in thermal environments / J. Awrejcewicz, L. Kurpa, T. Shmatko // Proceedings of 9th European Nonlinear Dynamics Conference (ENOC 2017), 25-30 June, 2017, Budapest, Hungary / ed.: G. Stépán, G. Csernák ; Budapest University of Technology and Economics. – Budapest : CongressLine Ltd., 2017. – P. 70-72.en
dc.identifier.orcidhttps://orcid.org/0000-0003-0387-921X
dc.identifier.orcidhttps://orcid.org/0000-0001-8380-1521
dc.identifier.orcidhttps://orcid.org/0000-0003-3386-8343
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/58933
dc.language.isoen
dc.publisherCongressLine Ltd., Hungaryen
dc.subjectFGM shallow shellsen
dc.subjectgeometrically nonlinear vibrationsen
dc.subjectthermal environmenten
dc.subjectR–function theoryen
dc.titleNonlinear vibrations of functionally graded shallow shells of a complex planform in thermal environmentsen
dc.typeThesisen

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