title: Correlation between properties of eigenfrequencies and eigenmodes in a chain of rigid bodies with inertialess moment connections
metadata.name: dc.contributor.author
metadata.value: Indeitsev, Dmitry A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sergeev, Aleksander D.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-19T10:08:23Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-19T10:08:23Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Indeitsev D.A., Sergeev A.D. Correlation between properties of eigenfrequencies and eigenmodes in a chain of rigid bodies with inertialess moment connections. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 281–290.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.212
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6951
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A regular chain of N rigid bodies is under consideration. Each body has one degree of freedom: rotation
  along the axis, orthogonal to the chain axis. Bodies of the chain are connected by means of elastic
  inertialles Bernoulli-Euler beams. We build the analytical solution of eigenvalue problem for the chain
  if N is arbitrary. The properties of eigenfrequencies and eigenmodes of the chain are compared with
  analogical properties of the canonical Newton chain. It is shown that the correlation between properties
  of eigenfrequencies and eigenmodes in a rigid body chain with inertialess torque connections and the
  same correlation in the canonical Newton chain is principally different. The eigenmodes, corresponding
  to the lowest eigenfrequencies of the rigid body chain, have maximal number of nodes. The eigenmodes,
  corresponding to the highest eigenfrequencies of this chain are most smooth. The nontypical correlation,
  obtained as a result of the precise solution, goes in contradiction to the states, putted by physics into
  the foundation of theoretical investigations devoted to various dynamical phenomena in crystal lattices.
  Refs 8. Figs 7.
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 4 (62); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: chains of rigid bodies
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non typical eigenmodes
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Correlation between properties of eigenfrequencies and eigenmodes in a chain of rigid bodies with inertialess moment connections
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12-Indeytsev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6951/1/12-Indeytsev.pdf
resources.format: Adobe PDF
resources.size: 586,01 kB