title: On the correspondence of theoretical models of longitudinal vibrations of a rod with experimental data
metadata.name: dc.contributor.author
metadata.value: Popov, Alexander L.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sadovsky, Sergei А.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T14:39:04Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T14:39:04Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Popov A. L., Sadovsky S.А. On the correspondence of theoretical models of longitudinal vibrations of a rod with experimental data. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 270–281.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.207
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29882
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A number of theoretical models are known for describing longitudinal vibrations of a rod.
  The simplest and most common is based on the wave equation. Next comes a model that
  takes into account lateral displacement (Rayleigh correction). The Bishop model is considered
  to be more perfect, taking into account both transverse displacement and shear
  deformation. It would seem that the more perfect the theoretical model, the better it
  should be consistent with experimental data. Nevertheless, when comparing with a really
  defined experimental spectrum of longitudinal vibrations of a rod on a large base of natural
  frequencies, it turns out that this is not quite so. Moreover, in the relative loss is the most
  complex Bishop model. Comparisons were made for a smooth long cylindrical rod. The
  questions of refinement with the help of experimentally found frequencies of the velocity of
  longitudinal waves and the Poisson’s ratio of the rod material are also touched.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is supported by Russian Foundation for Basic Research (project no. 19-01-00100).
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: longitudinal vibrations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: wave equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Rayleigh correction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Bishop correction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: experimental data
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the correspondence of theoretical models of longitudinal vibrations of a rod with experimental data
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 270-281.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29882/1/270-281.pdf
resources.format: Adobe PDF
resources.size: 3,5 MB