title: Workspaces of a Steward’s platform in the 6D space of generalised coordinates
metadata.name: dc.contributor.author
metadata.value: Leonov, Gennady A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tovstik, Petr E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tovstik, Tatiana M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-19T10:12:51Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-19T10:12:51Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Leonov G.A., Tovstik P.E., Tovstik T.M. Workspaces of a Steward’s platform in the 6D space of generalised coordinates. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 300–309.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.214
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6953
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Kinematics and dynamics of a classic Steward’s platform is studied. The platform is a rigid body supported
  on 6 rods of variable length. The well known differential equations, describing the platform motion, are
  presented. The main attention is paid to the analysis of workspaces in the 6D space of generalized coordinates.
  The projections of these workspaces on the spaces of the smaller dimensions are found. The 1D
  and 2D projections are built as in a linear so in a nonlinear approach. The 3D parallelepipeds of maximum
  volume, lying in the workspace, are found. Refs 15. Figs 4. Tables 3.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты №16.01.00580-a, №14.01.00271а).
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: Steward platform
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: equations of motion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: 6D workspace
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Workspaces of a Steward’s platform in the 6D space of generalised coordinates
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-Leonov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6953/1/14-Leonov.pdf
resources.format: Adobe PDF
resources.size: 322,92 kB