title: Analysis of the phase structure of fluid vibrations with floating longitudinally compressed elastic plate in nonlinear interaction of the surface progressive waves
metadata.name: dc.contributor.author
metadata.value: Bukatov, Anton A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-11-19T10:28:52Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-11-19T10:28:52Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bukatov A. A. Analysis of the phase structure of fluid vibrations with floating longitudinally compressed elastic plate in nonlinear interaction of the surface progressive waves. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 3, pp. 226–237.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.301
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/20720
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Based on the asymptotic expansions obtained by the multi-scale method up to the third order
  of smallness for the potential velocity of liquid particles and the plate-fluid surface elevation,
  the dispersion properties of the vibrations generated by the interaction of progressive surface
  wave harmonics of finite amplitude are analyzed in the article. The effect of nonlinearity of
  acceleration of vertical displacements of an elastic plate on the dispersion characteristics of
  wave disturbances is studied. The dependence of the vibration frequency is estimated by
  taking into account the nonlinearity of the first and second approximations values, the plate
  thickness, and the longitudinal compressive force. It is shown that the sign of the amplitude
  of the second interacting harmonic and the nonlinearity of the acceleration of vertical
  displacements of the longitudinally compressed elastic plate affect the vibration phase. It
  was found that with a decrease in the wavelength of the initial harmonic, the influence of the
  plate’s nonlinearity vertical acceleration is enhanced. The presence of compressive force is
  manifested in a decrease in the frequency of vibrations of the wave disturbance in comparison
  with the frequency obtained in the absence of longitudinal compression, both with a positive
  and negative sign of the second interacting harmonic amplitude.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work is carried out within the framework of the State Order N 0827-2019-0003.
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. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: ice plate fluctuations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: waves of finite amplitude
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonlinear interaction of waves
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: flexural deformation of a plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: longitudinal compressive force
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase characteristics
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Analysis of the phase structure of fluid vibrations with floating longitudinally compressed elastic plate in nonlinear interaction of the surface progressive waves
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 226-237.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/20720/1/226-237.pdf
resources.format: Adobe PDF
resources.size: 473,66 kB