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Finite difference approximation of eigenvibrations of a cantilever beam with elastically attached load

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dc.contributor.author Samsonov A.A.
dc.contributor.author Korosteleva D.M.
dc.contributor.author Solov'ev P.S.
dc.contributor.author Solov'ev S.I.
dc.date.accessioned 2021-02-25T06:50:44Z
dc.date.available 2021-02-25T06:50:44Z
dc.date.issued 2020
dc.identifier.issn 0094-243X
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/161052
dc.description.abstract © 2020 American Institute of Physics Inc.. All rights reserved. The nonlinear fourth-order differential eigenvalue problem governing eigenvibrations of a cantilever beam with elastically attached load is investigated. This problem has an increasing sequence of positive simple eigenvalues with a limit point at infinity. To the sequence of eigenvalues there corresponds a system of normalized eigenfunctions. The original nonlinear differential eigenvalue problem is approximated by the finite difference method on a uniform grid. The existence and error estimates for approximate eigenvalues and eigenfunctions are established. Theoretical results are illustrated by numencal expenments for a model problem. The studies reported in this paper can be extended to the cases of more complicated and important problems on eigenvibrations of plates and shells with elastically attached loads.
dc.relation.ispartofseries AIP Conference Proceedings
dc.title Finite difference approximation of eigenvibrations of a cantilever beam with elastically attached load
dc.type Conference Paper
dc.relation.ispartofseries-volume 2315
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS0094243X-2020-2315-SID85098664109


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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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