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Statements

Subject Item
n2:RIV%2F61988987%3A17310%2F12%3AA13016A5%21RIV13-GA0-17310___
rdf:type
n8:Vysledek skos:Concept
dcterms:description
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.
dcterms:title
Nonconservative mechanical systems with nonholonomic constraints Nonconservative mechanical systems with nonholonomic constraints
skos:prefLabel
Nonconservative mechanical systems with nonholonomic constraints Nonconservative mechanical systems with nonholonomic constraints
skos:notation
RIV/61988987:17310/12:A13016A5!RIV13-GA0-17310___
n8:predkladatel
n15:orjk%3A17310
n3:aktivita
n5:P
n3:aktivity
P(GA201/09/0981)
n3:cisloPeriodika
8
n3:dodaniDat
n16:2013
n3:domaciTvurceVysledku
n10:4049160
n3:druhVysledku
n6:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
154355
n3:idVysledku
RIV/61988987:17310/12:A13016A5
n3:jazykVysledku
n11:eng
n3:klicovaSlova
nonconservative mechanical systems; equations of motion; Hamiltonian equations; nonholonomic constraints; Chetaev equations; Hamiltonian equations for nonconservative nonholonomic systems
n3:klicoveSlovo
n4:Hamiltonian%20equations%20for%20nonconservative%20nonholonomic%20systems n4:nonholonomic%20constraints n4:Chetaev%20equations n4:equations%20of%20motion n4:nonconservative%20mechanical%20systems n4:Hamiltonian%20equations
n3:kodStatuVydavatele
CN - Čínská lidová republika
n3:kontrolniKodProRIV
[D143E1C04649]
n3:nazevZdroje
Science China Physics, Mechanics and Astronomy
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:GA201%2F09%2F0981
n3:rokUplatneniVysledku
n16:2012
n3:svazekPeriodika
55
n3:tvurceVysledku
Krupková, Olga
s:issn
1674-7348
s:numberOfPages
10
n17:organizacniJednotka
17310