title: Plate vibrations with periodically changing parameters
metadata.name: dc.contributor.author
metadata.value: Naumova, Natalia V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ivanov, Denis N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Dorofeev, Nikita P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-02-16T19:42:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-02-16T19:42:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Naumova N.V., Ivanov D.N., Dorofeev N.P. Plate vibrations with periodically changing parameters. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 4, pp. 661–669.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.412
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/35115
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Vibrations of square plate with periodically changing parameters are considered. The averaged
  fourth-order partial differential equation for the plate deflection w is offered. Solution
  of the problem is obtained by using the approximate theory. The approximate results are
  presented by analytical formulas. Asymptotic averaging (realized inWolfram Mathematica)
  and Finite Elements Method (ANSYS) are used to get the values of vibrations frequencies.
  The comparison of numerical and asymptotic results is performed.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Foundation for Basic Research (grant no. 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 8 (66); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: reinforced plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: heterogeneous plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vibrations of plates
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: deformations of plates
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Plate vibrations with periodically changing parameters
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 661-669.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/35115/1/661-669.pdf
resources.format: Adobe PDF
resources.size: 297,93 kB