Variational non-holonomic systems in physics

被引:0
|
作者
Czudková, L [1 ]
Musilová, J [1 ]
机构
[1] Masaryk Univ, Fac Sci, Brno 61137, Czech Republic
来源
关键词
Fibred manifold; dynamical form; first-order mechanical system; constraint manifold; non-holonomic constraints; variational system;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper conditions of variationality for mechanical systems subjected to non-holonomic constraints (constraint Helmholtz conditions), recently obtained by Krupkova and Musilova, are examined in some concrete physical situations. Influence of the choice of constraints on the variationality is studied and corresponding constraint forces are obtained.
引用
收藏
页码:131 / 140
页数:10
相关论文
共 50 条
  • [1] On the variational formulation of systems with non-holonomic constraints
    Delphenich, D. H.
    ANNALEN DER PHYSIK, 2009, 18 (09) : 649 - 670
  • [2] Variational problem of general displacements in non-holonomic systems
    Liang, Li-Fu
    Shi, Zhi-Fei
    Acta Mechanica Solida Sinica, 1993, 6 (04):
  • [3] The non-holonomic Herglotz variational problem
    Massa, Enrico
    Pagani, Enrico
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (03)
  • [4] DYNAMICS OF NON-HOLONOMIC SYSTEMS
    RAMIREZ, R
    HADRONIC JOURNAL, 1983, 6 (06): : 1693 - 1704
  • [5] On Generalized Non-holonomic Systems
    P. Balseiro
    J. E. Solomin
    Letters in Mathematical Physics, 2008, 84 : 15 - 30
  • [7] On non-holonomic systems equilibria
    Kozlov, V.V.
    Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, 1994, (03): : 74 - 79
  • [8] On generalized non-holonomic systems
    Balseiro, P.
    Solomin, J. E.
    LETTERS IN MATHEMATICAL PHYSICS, 2008, 84 (01) : 15 - 30
  • [9] DYNAMICS OF NON-HOLONOMIC SYSTEMS
    INOSTROZA, ROR
    HADRONIC JOURNAL, 1984, 7 (05): : 1134 - 1157
  • [10] On the geometry of non-holonomic Lagrangian systems
    deLeon, M
    deDiego, DM
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (07) : 3389 - 3414