title: On stabilization of a triple inverted pendulum via vibration of a support point with an arbitrary frequency
metadata.name: dc.contributor.author
metadata.value: Arkhipova, Inga M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T17:23:48Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T17:23:48Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Arkhipova I.M. On stabilization of a triple inverted pendulum via vibration of a support point with an arbitrary frequency. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 281–287.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15560
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The stabilization of the upper statically unstable position of a triple inverted pendulum via parametric excitation of the support is studied. The reported results are obtained by using the multiple scale method and the Floquet theory. The stability diagrams in the excitation parameters space (amplitude and frequency of the support excitation) are plotted. It is shown that the stabilization is possible for low, medium and high excitation frequencies. The influence of the deviation of system parameters from the critical parameter, which sets the stability limit of a conservative system, and the effect of damping on the stabilization domains are discussed.
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 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: vibrational stabilization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: triple pendulum
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On stabilization of a triple inverted pendulum via vibration of a support point with an arbitrary frequency
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 281-287.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15560/1/281-287.pdf
resources.format: Adobe PDF
resources.size: 455,83 kB