title: Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum
metadata.name: dc.contributor.author
metadata.value: Nesterchuk, Grigory A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Smirnov, Andrei L.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Filippov, Sergei B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-19T07:17:00Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-19T07:17:00Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Nesterchuk G.A., SmirnovA. L., Filippov S.B. Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 334–343. https://doi.org/10.21638/spbu01.2023.213 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.213
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41491
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Using numerical and asymptotic methods, the lowest natural frequencies and vibration
  modes of a structure consisting of a closed circular cylindrical shell with an end cap attached
  to it, having the shape of a shallow spherical segment, are studied in the paper. Three
  types of natural vibrations of the structure are described. Eigenfrequencies and modes of
  vibrations of the first type, close to the frequencies and modes of vibrations of a shallow
  spherical shell, were studied in previous works. In this paper, we study the forms and
  frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever
  beam with the load). An optimization problem is solved to determine the values of the
  structure parameters, the relative thickness of its elements and the curvature of the end
  cap, at which the minimum value of the natural frequency is maximum. A comparison of
  the asymptotic and numerical results reveals their good agreement.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was supported by the Russian Science Foundation (project no. 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; Issue 2
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.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 334-343.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41491/1/334-343.pdf
resources.format: Adobe PDF
resources.size: 843,05 kB