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  • The paper deals with the geometric concept of mechanical systems of N particles. The systems are modelled on the Cartesian product Rx X^N and its first jet prolongation J^1(Rx X^N)=Rx TX^N, where X is a 3-dimensional Riemannian manifold with a metric G. The kinetic energy T of the system of N-particles is interpreted by means of the weighted quadratic form Q_G associated with the weighted metric tensor G which arises from the original metric tensor G and the system of N particles m_1,...,m_N . A requirement for the kinetic energy of the system of N particles to be constant is regarded as a nonholonomic, so-called isokinetic constraint and it is defined as a fibered submanifold T of the jet space Rx TX^N endowed with a certain distribution C called canonical distribution, which has the meaning of generalized admissible displacements of the system of particles subject to the isokinetic constraint. Vector generators of the canonical distribution are found.
  • The paper deals with the geometric concept of mechanical systems of N particles. The systems are modelled on the Cartesian product Rx X^N and its first jet prolongation J^1(Rx X^N)=Rx TX^N, where X is a 3-dimensional Riemannian manifold with a metric G. The kinetic energy T of the system of N-particles is interpreted by means of the weighted quadratic form Q_G associated with the weighted metric tensor G which arises from the original metric tensor G and the system of N particles m_1,...,m_N . A requirement for the kinetic energy of the system of N particles to be constant is regarded as a nonholonomic, so-called isokinetic constraint and it is defined as a fibered submanifold T of the jet space Rx TX^N endowed with a certain distribution C called canonical distribution, which has the meaning of generalized admissible displacements of the system of particles subject to the isokinetic constraint. Vector generators of the canonical distribution are found. (en)
Title
  • Geometric concept of isokinetic constraint for a system of particles
  • Geometric concept of isokinetic constraint for a system of particles (en)
skos:prefLabel
  • Geometric concept of isokinetic constraint for a system of particles
  • Geometric concept of isokinetic constraint for a system of particles (en)
skos:notation
  • RIV/61988987:17310/13:A14018VV!RIV14-MSM-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • V
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 76519
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/13:A14018VV
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • mechanical systems of particles; kinetic energy; metric tensor; nonholonomic constraints; isokinetic constraints; isokinetic canonical distribution (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [80A7CFA13748]
http://linked.open...i/riv/nazevZdroje
  • Miskolc Mathematical Notes
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 14
http://linked.open...iv/tvurceVysledku
  • Volný, Petr
  • Swaczyna, Martin
http://linked.open...ain/vavai/riv/wos
  • 000329498700033
issn
  • 1787-2405
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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