title: Free vibration frequencies of a circular thin plate with variable parameters
metadata.name: dc.contributor.author
metadata.value: Vasiliev, Grigory P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Smirnov, Andrey L.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-09-10T15:13:08Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-09-10T15:13:08Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Vasiliev G. P., Smirnov A. L. Free vibration frequencies of a circular thin plate with variable parameters. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 3, pp. 518–526.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2020.314
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19403
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Transverse vibrations of an inhomogeneous circular thin plate are studied in the paper. Nondimensional equations based on Kirchhoff — Love hypotheses describing nonaxisymmetric vibrations of inhomogeneous plate are derived. Using the perturbation method, asymptotic
  formulas are obtained for the free vibration frequencies of a plate, whose thickness and
  Young’s modulus linearly depend on the radial coordinate. The influence of the plate edge
  conditions on the frequencies and the behavior of frequencies for a plate with the fixed
  mass are analyzed. For the lower free vibration frequencies the results of asymptotic and
  finite elements analyses are compared.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The article was prepared with partial financial support of the Russian Foundation for Basic Research, projects No 18-01-00832-a and 19-01-00208-a
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 7 (65); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: free vibrations of plates
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inhomogeneous circular plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: perturbation method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Free vibration frequencies of a circular thin plate with variable parameters
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 518-526.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19403/1/518-526.pdf
resources.format: Adobe PDF
resources.size: 1,35 MB