title: Stability of a vertical descent of a heavy finned body in resisting medium
metadata.name: dc.contributor.author
metadata.value: Okunev, Yuriy M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Privalova, Olga G.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Samsonov, Vitaliy A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-04-14T12:07:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T12:07:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Okunev Yu.M., Privalova O.G., Samsonov V.A. Stability of a vertical descent of a heavy finned body in resisting medium. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 144–151.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.114
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36162
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A free descent of a finned body in resisting medium is studied. Fins are installed in such a
  way that there is a regime of a translational descent with a constant speed. Beforehand, a descent of a heavy body in an autorotation mode was studied. It exists when pitch angles
  of all fins are equal to each other. For a descent with autorotation, general properties
  and tendencies of motion were described depending on initial conditions and parameters.
  In the current paper, the descent of a body is discussed for the case when fins have equal
  absolute values of pitch angles, but signs of these angles alternate. Asymptotic stability of a
  translational descent with a constant speed is studied for such orientation of fins. Domains
  of stability are constructed in the plane of the following parameters: pitch angle of fins
  and displacement of the center of mass. Fins represented either by circle or rectangular
  blades are discussed. Domains of stability are compared with that for the autorotation
  mode descent. Trajectories of the center of mass are constructed. Varied types of such
  trajectories are obtained when parameters of the model correspond to the case of unstable
  translational descents with a constant speed.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was carried out with the support of the Interdisciplinary scientific-educational school
  of the Moscow State University “Mathematical methods of analysis of complex systems”.
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 9; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: finned body
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: autorotation mode
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: translational descent with a constant speed
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stability of a vertical descent of a heavy finned body in resisting medium
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 144-151.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36162/1/144-151.pdf
resources.format: Adobe PDF
resources.size: 853,1 kB