title: On vector form of differential variational principles of mechanics
metadata.name: dc.contributor.author
metadata.value: Soltakhanov, Shervani Kh.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shugaylo, Timofei S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Yushkov, Mikhail P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-04-26T09:45:12Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-04-26T09:45:12Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Soltakhanov Sh.Kh., Shugaylo T. S., Yushkov M.P. On vector form of differential variational principles of mechanics. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 1, pp. 147–153.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2018.116
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/9508
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper introduces the variation of a vector  x, which can be interpreteed either as
  a virtual displacement of a system, the variation of the velocity of a system or the variation of the acceleration of a system. This vector is used to put forward, from scalar representative
  motion equations, a uniform notation of all differential variational principles of mechanics.
  Conversely, this notation involves all original motion equations, which enables one to consider
  the previously obtained scalar products as principles of mechanics. The same approach leads
  us to a differential principle on the basis of the vector equation of constrained motion of
  a mechanical system. In this form, it is proposed to retain the nonzero scalar product of
  ideal constraints by the vector  x. This enables one from this notation to derive equations
  involving generalized constrained forces.
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 5(63); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonholonomic mechanics
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear nonholonomic second-order constraints
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Lagrange second-order equations with multipliers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Maggi equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the generalized Lagrange second-order equations with multipliers
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the generalized Maggi equations
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On vector form of differential variational principles of mechanics
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16-Soltakhanov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/9508/1/16-Soltakhanov.pdf
resources.format: Adobe PDF
resources.size: 286,43 kB