title: Natural vibrations of composite cylindrical shells partially filled with fluid
metadata.name: dc.contributor.author
metadata.value: Bochkarev, Sergey A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Lekomtsev, Sergey V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Matveenko, Valerii P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-26T16:28:13Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-26T16:28:13Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bochkarev S.A., Lekomtsev S.V., Matveenko V.P. Natural vibrations of composite cylindrical shells partially filled with fluid. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 616–631. https://doi.org/10.21638/spbu01.2023.403 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44551
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article presents the results of studies of natural vibrations of circular vertical multilayer
  cylindrical shells completely or partially filled with a stationary compressible fluid and
  subjected to hydrostatic load. The behavior of the elastic structure and the fluid medium
  is described using the classical shell theory and the Euler equations. The effects of sloshing
  on the free surface of the fluid are not considered. The linearized equations of motion for
  shells together with the corresponding geometric and physical relations are reduced to a
  system of ordinary differential equations with respect to new unknowns. The acoustic wave
  equation is transformed to a system of differential equations using the generalized differential
  quadrature method. The formulated boundary value problem is solved by Godunov’s
  method of orthogonal sweep. The natural frequencies of vibrations are calculated based on
  the combination of a stepwise procedure and subsequent refinement by the method of dividing
  in half. The reliability of the obtained results is verified by comparison with the known
  numerical solutions. The dependence of low vibration frequencies on the reinforcing angle
  and the level of the structure filling with a fluid for simply supported, rigidly clamped and
  cantilevered two-layer and three-layer cylindrical shells with a fluid are analyzed in detail.
  It is demonstrated that the possibility of changing the frequencies and vibration modes
  through a suitable choice of the layer arrangement scheme and the reinforcing angle of the
  composite material is notably determined by a prescribed combination of boundary conditions
  for an elastic body.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The results were obtained within the framework of state task; state registration number of the topic
  AAAA-A19-119012290100-8.
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 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: classical shell theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: compressible fluid
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: layered material
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hydrostatic pressure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Godunov’s orthogonal sweep method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized differential quadrature method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: natural vibrations
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Natural vibrations of composite cylindrical shells partially filled with fluid
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 616-631.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44551/1/616-631.pdf
resources.format: Adobe PDF
resources.size: 1,51 MB