title: Buckling of the cylindrical shell joint with annular plates under external pressure
metadata.name: dc.contributor.author
metadata.value: Filippov, Sergei B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T14:41:44Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T14:41:44Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Filippov S.B. Buckling of the cylindrical shell joint with annular plates under external pressure. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 282–294.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29883
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: By means of an asymptotic method the buckling under the uniform external pressure of
  the thin cylindrical shell supported by identical annular plates is analyzed. Boundary conditions
  on an internal parallel of the shell joined to a thin plate are obtained. At the edges
  of the shell the free support conditions are introduced. We seek the approximate solutions
  of the eigenvalue problem as a sum of slowly varying functions and edge effect integrals.
  On a parallel, where the plate joint with the shell, the main boundary conditions for the
  formulation of an eigenvalue problem of zero approximation are obtained. This problem
  describes also vibrations of a simply supported beam stiffened by springs. Its solution we
  seek as linear combinations of Krylov’s functions. It is shown, that in zero approximation
  it is possible to replace a narrow plate with a circular beam. At increase in width of a plate
  stiffness of the corresponding spring tend to a constant. It occurs because of localization
  plate deformations near to the internal edge of a plate. As an example the dimensionless
  critical pressure for the case when the shell is supported by one plate is found. The replacement
  of a narrow plate with a circular beam does not lead to appreciable change of the
  critical pressure, however for a wide plate the beam model gives the overestimated value of
  critical pressure.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Foundation for Basic Research (project no. 19-01-00208).
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 8 (66); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: ring-stiffened cylindrical shell
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: buckling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: annular plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: eigenvalue problem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Buckling of the cylindrical shell joint with annular plates under external pressure
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 282-294.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29883/1/282-294.pdf
resources.format: Adobe PDF
resources.size: 358,44 kB