title: On non-axisymmetric buckling modes of inhomogeneous circular plates
metadata.name: dc.contributor.author
metadata.value: Bauer, Svetlana M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Voronkova, Eva B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T14:14:47Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T14:14:47Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bauer S.M., Voronkova E. B. On non-axisymmetric buckling modes of inhomogeneous circular plates. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 204–211
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.201
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29875
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Unsymmetrical buckling of nonuniform circular plates with elastically restrained edge and
  subjected to normal pressure is studied in this paper. The asymmetric part of the solution
  is sought in terms of multiples of the harmonics of the angular coordinate. A numerical
  method is employed to obtain the lowest load value at which waves in the circumferential
  direction can appear. The effect of material heterogeneity and boundary on the buckling
  load is examined. For a plate with elastically restrained edge, the buckling pressure and
  mode number increase with a rise of spring stiffness. Increasing of the elasticity modulus
  to the plate edge leads to increasing of the buckling pressure, but the mode number does
  not change. If the translational flexibility coefficient is small, decreasing of the elasticity
  modulus to the shell (plate) edge leads to sufficient lowering of the buckling pressure.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was carried out with the support of the Russian Foundation for Basic Research (grant
  no. 19-01-00208) and using the equipment of the resource center of the St. Petersburg State University
  Scientific Park “Observatory of Environmental Safety”.
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: circular plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: buckling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: heterogeneity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On non-axisymmetric buckling modes of inhomogeneous circular plates
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 204-211.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29875/1/204-211.pdf
resources.format: Adobe PDF
resources.size: 376,64 kB