Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory

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dc.contributor.authorKurpa, Lidiya
dc.contributor.authorAwrejcewicz, Jan
dc.contributor.authorMazur, Olga
dc.contributor.authorMorachkovska, Iryna
dc.date.accessioned2026-05-28T07:18:41Z
dc.date.issued2022
dc.description.abstractFree vibrations of the orthotropic micro/nanoplate with nonclassical shape are investigated. The considered model is based on the nonlocal elasticity theory. The developed method uses the Ritz method as well as R-function theory for the construction of the system of coordinate functions. The linear frequencies are obtained for a rectangular platewith two cutouts on opposite sides, while the boundary conditions are considered of several types, including simply supported and clamped edges. The small-scale effects for various sizes of cutouts are discussed.
dc.identifier.citationKurpa L., Awrejcewicz J., Mazur O., Morachkovska I. Free vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory. Acta Mechanica. 2022. 233. P. 5009–5019. https://doi.org/10.1007/s00707-022-03361-w. URL: https://link.springer.com/article/10.1007/s00707-022-03361-w, (accessed 28.05.2026.).
dc.identifier.doihttps://doi.org/10.1007/s00707-022-03361-w
dc.identifier.orcidhttps://orcid.org/0000-0001-8380-1521
dc.identifier.orcidhttps://orcid.org/0000-0003-0387-921X
dc.identifier.orcidhttps://orcid.org/0000-0002-4164-4780
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/102744
dc.language.isoen
dc.publisherSpringer Nature
dc.subjectfree vibrations
dc.subjectnonlocal elasticity theory
dc.subjectR-function theory
dc.subjectRitz method
dc.subjectlinear frequencies
dc.titleFree vibrations of small-scale plates with complex shape based on the nonlocal elasticity theory
dc.typeArticle

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