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Eigenvibrations of an elastic bar with mechanical resonator

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dc.contributor.author Samsonov A.
dc.contributor.author Korosteleva D.
dc.contributor.author Solov'Ev S.
dc.date.accessioned 2021-02-25T06:53:20Z
dc.date.available 2021-02-25T06:53:20Z
dc.date.issued 2020
dc.identifier.issn 1757-8981
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/161283
dc.description.abstract © Published under licence by IOP Publishing Ltd. The differential eigenvalue problem governing eigenvibrations of an elastic bar with fixed first end and mechanical resonator attached to second end is investigated. This problem has an increasing sequence of positive simple eigenvalues with limit point at infinity. To the sequence of eigenvalues, there corresponds a complete orthonormal system of eigenfunctions. We introduce limit differential eigenvalue problems and derive the convergence of the eigenvalues and eigenfunctions of the initial problem to the corresponding eigenvalues and eigenfunctions of the limit problems as a resonator parameter tending to infinity. The original differential eigenvalue problem is approximated by the finite difference method on a uniform mesh. Error estimates for approximate eigenvalues and eigenfunctions are established. Theoretical results are illustrated by numerical experiments for model problems. Investigations of this paper can be generalized for the cases of more complicated and important problems on eigenvibrations of beams, plates and shells with attached resonators.
dc.relation.ispartofseries IOP Conference Series: Materials Science and Engineering
dc.title Eigenvibrations of an elastic bar with mechanical resonator
dc.type Conference Paper
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 709
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS17578981-2020-709-3-SID85078927268


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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