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Investigation of the eigenvalue problem on eigenvibration of a loaded string

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dc.contributor.author Samsonov A.
dc.contributor.author Korosteleva D.
dc.contributor.author Solov'Ev S.
dc.date.accessioned 2020-01-15T21:49:02Z
dc.date.available 2020-01-15T21:49:02Z
dc.date.issued 2019
dc.identifier.issn 1742-6588
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/156177
dc.description.abstract © Published under licence by IOP Publishing Ltd. In the present paper, the differential eigenvalue problem describing eigenvibrations of a string with fixed ends and attached load at an interior point fixed elastically is investigated. The 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 formulate limit differential eigenvalue problems and prove the convergence of the eigenvalues and eigenfunctions of the initial problem to the corresponding eigenvalues and eigenfunctions of the limit problems as load mass tending to infinity. The original differential eigenvalue problem is approximated by the finite difference method on a uniform grid. Error estimates for approximate eigenvalues and eigenfunctions are established. 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 loads.
dc.relation.ispartofseries Journal of Physics: Conference Series
dc.title Investigation of the eigenvalue problem on eigenvibration of a loaded string
dc.type Conference Paper
dc.relation.ispartofseries-issue 4
dc.relation.ispartofseries-volume 1158
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS17426588-2019-1158-4-SID85063813305

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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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