title: Buckling of an annular plate under tensile point loading
metadata.name: dc.contributor.author
metadata.value: Solovev, Anton S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Bochkarev, Anatoly O.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-05T09:42:30Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-05T09:42:30Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Solovev A. S., Bochkarev A.O. Buckling of an annular plate under tensile point loading. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 1, pp. 136–145.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.116
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6695
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we address the stability of an elastic thin annular plate stretched by two point loads that
  are located on the outer boundary. A roller support is considered on the outer boundary while the inner
  edge of the plate is free.
  Muskhelishvili’s theory of complex potentials has been applied to obtain a solution of the plane
  problem in the form of a power series. The buckling problem has been solved using the Rayleigh-Ritz
  method, based on the energy criterion. The critical Euler force and the respective buckling mode have
  been computed. Dependence between the critical force and the relative orifice size has been illustrated.
  Analysis of the results has shown that a symmetric buckling mode takes place for a sufficiently large
  hole, with the greatest deflection observed around the hole along the force line. However, an antisymmetric buckling mode occurs for relatively small holes, with the greatest deflection being along a line that is
  orthogonal to the force line. Refs 15. Figs 5.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №14-01-00260).
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 4 (62); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: buckling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: elasticity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Rayleigh—Ritz method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Buckling of an annular plate under tensile point loading
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16-Solovjov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6695/1/16-Solovjov.pdf
resources.format: Adobe PDF
resources.size: 447,35 kB