title: Optimization of oscillation damping in systems with a non-integer number of degrees of freedom
metadata.name: dc.contributor.author
metadata.value: Smirnov, Alexey S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Muravyov, Alexander S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-04-14T12:24:35Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-04-14T12:24:35Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Smirnov A. S., Muravyov A. S. Optimization of oscillation damping in systems with a non-integer number of degrees of freedom. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 1, pp. 164–175.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.116
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/36164
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper discusses issues related to the choice of the optimal damping for a system with one and a half degrees of freedom - a pendulum with an elastic-movable suspension point in the presence of viscous friction. Maximization of the degree of stability of the system is taken as an optimization criterion characterizing the efficiency of damping oscillations. Two options for installing a damping device are discussed - either in the pendulum joint, or parallel to the elastic element. The analytical solution of the optimization problem is performed in each case, and it is accompanied by a visual graphic illustration. In addition, a comparison of two cases of damping is given on the basis of analysis of the maximum degree of stability and a conclusion about the advisability of using one or another option is made. The obtained results are of interest both in theoretical and practical terms, and the described plan for finding the optimal solution can also be applied to solving other optimization problems in systems with a non-integer number of degrees of freedom.
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: pendulum
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: spring
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: damper
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: viscous friction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: degree of stability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimization of oscillation damping in systems with a non-integer number of degrees of freedom
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 164-175.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/36164/1/164-175.pdf
resources.format: Adobe PDF
resources.size: 390,9 kB