title: The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration
metadata.name: dc.contributor.author
metadata.value: Petrov, Аlexander G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-16T14:33:42Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-16T14:33:42Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Petrov A.G. The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 255–269.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29880
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The inverse problem is posed of stabilizing a spherical pendulum (a mass point at the end
  of a weightless solid rod of length l ) in a given position using high-frequency vibration of
  the suspension point. The position of the pendulum is determined by the angle between
  the pendulum rod and the gravity acceleration vector. For any given position of the pendulum,
  a series of oblique vibration parameters (amplitude of the vibration velocity and the
  angle between the vibration velocity vector and the vertical) were found that stabilize the
  pendulum in this position. From the obtained series of solutions, the parameters of optimal
  vibration (vibration with a minimum amplitude of velocity) are selected depending on the
  position of the pendulum. The region of initial conditions is studied, of which the optimal
  vibration leads the pendulum to a predetermined stable position after a sufficiently long
  time. This area, following N. F.Morozov et al., called the area of attraction.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work was performed on state assignment (no. ААА-А20-120011690138-6).
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: spherical pendulum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vibration of the suspension point
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inverse problem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 255-269.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29880/1/255-269.pdf
resources.format: Adobe PDF
resources.size: 615,39 kB