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  • A geometric setting for generally nonconservative mechanical systems on fibred manifolds is proposed. Emphasis is put on an explicit formulation of nonholonomic mechanics when an unconstrained Lagrangian system moves in a generally non-potential force field depending on time, positions and velocities, and the constraints are nonholonomic, not necessarily linear in velocities. Equations of motion, and the corresponding Hamiltonian equations in intrinsic form are given. Regularity conditions are found and a nonholonomic Legendre transformation is proposed, leading to a canonical form of the nonholonomic Hamiltonian equations for nonconservative systems.
  • A geometric setting for generally nonconservative mechanical systems on fibred manifolds is proposed. Emphasis is put on an explicit formulation of nonholonomic mechanics when an unconstrained Lagrangian system moves in a generally non-potential force field depending on time, positions and velocities, and the constraints are nonholonomic, not necessarily linear in velocities. Equations of motion, and the corresponding Hamiltonian equations in intrinsic form are given. Regularity conditions are found and a nonholonomic Legendre transformation is proposed, leading to a canonical form of the nonholonomic Hamiltonian equations for nonconservative systems. (en)
Title
  • Nonconservative mechanical systems with nonholonomic constraints
  • Nonconservative mechanical systems with nonholonomic constraints (en)
skos:prefLabel
  • Nonconservative mechanical systems with nonholonomic constraints
  • Nonconservative mechanical systems with nonholonomic constraints (en)
skos:notation
  • RIV/61988987:17310/12:A13016A5!RIV13-GA0-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika
  • 8
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
  • 154355
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/12:A13016A5
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonconservative mechanical systems; equations of motion; Hamiltonian equations; nonholonomic constraints; Chetaev equations; Hamiltonian equations for nonconservative nonholonomic systems (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CN - Čínská lidová republika
http://linked.open...ontrolniKodProRIV
  • [D143E1C04649]
http://linked.open...i/riv/nazevZdroje
  • Science China Physics, Mechanics and Astronomy
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 55
http://linked.open...iv/tvurceVysledku
  • Krupková, Olga
issn
  • 1674-7348
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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