title: Natural vibrations of a cylindrical shell with the end cap. I. Asymptotic analysis
metadata.name: dc.contributor.author
metadata.value: Filippov, Sergei B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Smirnov, Andrei L.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Nesterchuk, Grigory A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-03-14T20:32:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-03-14T20:32:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Filippov S.B., Smirnov A. L., Nesterchuk G.A. Natural vibrations of a cylindrical shell with the end cap. I. Asymptotic analysis. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 109–120. https://doi.org/10.21638/spbu01.2023.110 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.110
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/39330
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Low natural frequencies and vibration modes of the structure, consisting of a closed circular cylindrical shell with the end cap, having the shape of a shallow spherical segment, are examined in the paper using numerical and asymptotic methods. There are three types natural vibrations of the structure. Natural frequencies and vibration modes of the first type are close to the frequencies and vibration modes of a shallow spherical shell, modes and frequencies of the second type - to frequencies and modes of a cylindrical shell, and those of the third type - to frequencies and modes of vibration of a cantilever beam with a load at the end. In the first part of the research approximate values for the frequencies of vibrations of the first type are found by asymptotic methods. Asymptotic and numerical results obtained with finite element method are in good agreement.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was supported by Russian Science Foundation (project No. 23-21-00111),
  https://rscf.ru/en/project/23-21-00111/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: joint thin shells
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: free vibrations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic methods
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Natural vibrations of a cylindrical shell with the end cap. I. Asymptotic analysis
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15498-Текст статьи-51849-1-2-20230304.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/39330/1/15498-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-51849-1-2-20230304.pdf
resources.format: Adobe PDF
resources.size: 620,78 kB