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  • Variational properties of first order mechanical systems with general non-holonomic constraints are studied. The concept of variationality of a constrained system is introduced on the basis of a geometrical theory of non-holonomic constrained systems. Conditions of variationality of corresponding reduced equations of motion, analogous to the classical Helmholtz conditions are obtained.
  • Variational properties of first order mechanical systems with general non-holonomic constraints are studied. The concept of variationality of a constrained system is introduced on the basis of a geometrical theory of non-holonomic constrained systems. Conditions of variationality of corresponding reduced equations of motion, analogous to the classical Helmholtz conditions are obtained. (en)
  • Jsou studovány variační vlastnosti neholonomních mechanických systémů prvního řádu. Pomocí geometrické teorie neholonomních vázaných systémů je zaveden pojem variačnosti . Jsou odvozeny podmínky variačnosti odpovídajících redukovaných rovnic, analogické klasickým Helmholtzovým podmínkám. (cs)
Title
  • Constraint Helmholtz conditions
  • Constraint Helmholtz conditions (en)
  • Vázané Helmholtzovy podmínky (cs)
skos:prefLabel
  • Constraint Helmholtz conditions
  • Constraint Helmholtz conditions (en)
  • Vázané Helmholtzovy podmínky (cs)
skos:notation
  • RIV/00216224:14310/02:00007368!RIV08-MSM-14310___
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  • P(GA201/00/0724), Z(MSM 143100006)
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  • 641611
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  • RIV/00216224:14310/02:00007368
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  • non-holonomic constrained mechanical systems; variationality conditions (en)
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  • [CDB5E68F19B0]
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  • Brno
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  • Institute of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk University, Brno
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  • Krupková, Olga
  • Musilová, Jana
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  • Preprint 6/2002 GAČR 201/00/0724
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  • 14310
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