메뉴 건너뛰기




Volumn 38, Issue 10, 1997, Pages 5098-5126

Mechanical systems with nonholonomic constraints

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031531745     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532196     Document Type: Article
Times cited : (54)

References (28)
  • 1
    • 0000828014 scopus 로고
    • On the Gauss principle
    • in Russian
    • N. G. Chetaev, "On the Gauss principle," Izv. Kazan. Fiz.-Mat. Obsc. 6, 323-326 (1932-33) (in Russian).
    • (1932) Izv. Kazan. Fiz.-Mat. Obsc. , vol.6 , pp. 323-326
    • Chetaev, N.G.1
  • 2
    • 0001622336 scopus 로고
    • Sur les liaisons non holonomes non linéaires déplacement virtuels à travail nul, conditions de Chetaev
    • Proc. IUTAM-ISIMM Symposium, Torino, Italy, 1982, edited by S. Benenti, M. Francaviglia, and A. Lichnerowicz Accad. delle Science di Torino, Torino
    • Y. Pironneau, "Sur les liaisons non holonomes non linéaires déplacement virtuels à travail nul, conditions de Chetaev, in Modern Developments in Analytical Mechanics II, Proc. IUTAM-ISIMM Symposium, Torino, Italy, 1982, edited by S. Benenti, M. Francaviglia, and A. Lichnerowicz (Accad. delle Science di Torino, Torino, 1983), pp. 671-686.
    • (1983) Modern Developments in Analytical Mechanics , vol.2 , pp. 671-686
    • Pironneau, Y.1
  • 4
    • 0030557066 scopus 로고    scopus 로고
    • On the geometry of non-holonomic Lagrangian systems
    • M. de León and D. M. de Diego, "On the geometry of non-holonomic Lagrangian systems," J. Math. Phys. 37, 3389-3414 (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 3389-3414
    • De León, M.1    De Diego, D.M.2
  • 5
    • 0000194890 scopus 로고
    • Reduction of constrained mechanical systems and stability of relative equilibria
    • C. M. Marie, "Reduction of constrained mechanical systems and stability of relative equilibria," Commun. Math. Phys. 174, 295-318 (1995).
    • (1995) Commun. Math. Phys. , vol.174 , pp. 295-318
    • Marie, C.M.1
  • 6
    • 0001015316 scopus 로고    scopus 로고
    • Lie algebroids and mechanics
    • Brno
    • P. Libermann, "Lie algebroids and mechanics," Arch. Math. (Brno) 32, 147-162 (1996).
    • (1996) Arch. Math. , vol.32 , pp. 147-162
    • Libermann, P.1
  • 7
    • 0000768876 scopus 로고
    • Reduction of some classical non-holonomic systems with symmetry
    • J. Koiller, "Reduction of some classical non-holonomic systems with symmetry," Arch. Rational Mech. Anal. 118, 113-148 (1992).
    • (1992) Arch. Rational Mech. Anal. , vol.118 , pp. 113-148
    • Koiller, J.1
  • 8
    • 21844484638 scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems
    • W. Sarlet, F. Cantrijn, and D. J. Saunders, "A geometrical framework for the study of non-holonomic Lagrangian systems," J. Phys. A 28, 3253-3268 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 3253-3268
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 9
    • 0009144789 scopus 로고    scopus 로고
    • A geometrical framework for the study of non-holonomic Lagrangian systems: II
    • D. J. Saunders, W. Sarlet, and F. Cantrijn, "A geometrical framework for the study of non-holonomic Lagrangian systems: II," J. Phys. A 29, 4265-4274 (1996).
    • (1996) J. Phys. A , vol.29 , pp. 4265-4274
    • Saunders, D.J.1    Sarlet, W.2    Cantrijn, F.3
  • 10
    • 0001484560 scopus 로고    scopus 로고
    • A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems
    • W. Sarlet, "A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems," Extrada Math. 11, 202-212 (1996).
    • (1996) Extrada Math. , vol.11 , pp. 202-212
    • Sarlet, W.1
  • 11
    • 0040947602 scopus 로고    scopus 로고
    • The geometry of mixed first and second order differential equations with applications to non-holonomic mechanics
    • Masaryk University, Brno
    • W. Sarlet, "The geometry of mixed first and second order differential equations with applications to non-holonomic mechanics," in Differential Geometry and its Applications, Proc. Conf., Brno, 1995 (Masaryk University, Brno, 1996), pp. 641-650.
    • (1996) Differential Geometry and Its Applications, Proc. Conf., Brno, 1995 , pp. 641-650
    • Sarlet, W.1
  • 12
    • 21344495419 scopus 로고
    • Time-dependent Lagrangian systems: A geometric approach to the theory of systems with contraints
    • M. F. Rañada, "Time-dependent Lagrangian systems: A geometric approach to the theory of systems with contraints," J. Math. Phys. 35, 748-758 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 748-758
    • Rañada, M.F.1
  • 14
    • 0040759178 scopus 로고    scopus 로고
    • Non-holonomic Lagrangian systems in jet manifolds
    • M. de León, J. C. Marrero, and D. M. de Diego, "Non-holonomic Lagrangian systems in jet manifolds," J. Phys. A 30, 1167-1190 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 1167-1190
    • De León, M.1    Marrero, J.C.2    De Diego, D.M.3
  • 15
    • 0001500447 scopus 로고
    • Jet methods in nonholonomic mechanics
    • G. Giachetta, "Jet methods in nonholonomic mechanics," J. Math. Phys. 33, 1652-1665 (1992).
    • (1992) J. Math. Phys. , vol.33 , pp. 1652-1665
    • Giachetta, G.1
  • 16
    • 0031557972 scopus 로고    scopus 로고
    • A differential geometric setting for mixed first- And second-order differential equations
    • W. Sarlet, F. Cantrijn, and D. J. Saunders, "A differential geometric setting for mixed first- and second-order differential equations," J. Phys. A 30, 4031-4052 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 4031-4052
    • Sarlet, W.1    Cantrijn, F.2    Saunders, D.J.3
  • 17
    • 0002365599 scopus 로고
    • Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
    • Brno
    • O. Krupková, "Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity," Arch. Math. (Brno) 22, 97-120 (1986).
    • (1986) Arch. Math. , vol.22 , pp. 97-120
    • Krupková, O.1
  • 18
    • 0000112220 scopus 로고
    • Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem
    • O. Krupková, "Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem," Arc. Math. (Brno) 23, 155-170 (1987).
    • (1987) Arc. Math. (Brno) , vol.23 , pp. 155-170
    • Krupková, O.1
  • 19
    • 0004171126 scopus 로고    scopus 로고
    • Higher-order constrained systems on fibered manifolds: An exterior systems approach
    • New Developments in Differential Geometry, Debrecen, 1994, edited by L. Tamássy and J. Szenthe Kluwer, Dordrecht
    • O. Krupková, "Higher-order constrained systems on fibered manifolds: An exterior systems approach," in New Developments in Differential Geometry, Proc. of the Colloquium on Diff. Geom., Debrecen, 1994, edited by L. Tamássy and J. Szenthe (Kluwer, Dordrecht, 1996), pp. 255-278.
    • (1996) Proc. of the Colloquium on Diff. Geom. , pp. 255-278
    • Krupková, O.1
  • 21
    • 0002283828 scopus 로고
    • Variational sequences on finite order jet spaces
    • Differential Geometry and Its Applications, Brno, 1989, edited by J. Janyška and D. Krupka World Scientific, Singapore
    • D. Krupka, "Variational sequences on finite order jet spaces," in Differential Geometry and Its Applications, Proc. Conf., Brno, 1989, edited by J. Janyška and D. Krupka (World Scientific, Singapore, 1990), pp. 236-254.
    • (1990) Proc. Conf. , pp. 236-254
    • Krupka, D.1
  • 23
  • 25
    • 0030117357 scopus 로고    scopus 로고
    • On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints
    • F. Cardin and M. Favretti, "On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints," J. Geom. Phys. 18, 295-325 (1996).
    • (1996) J. Geom. Phys. , vol.18 , pp. 295-325
    • Cardin, F.1    Favretti, M.2
  • 26
    • 0003209247 scopus 로고
    • The Geometry of Jet Bundles
    • Cambridge University Press, Cambridge
    • D. J. Sauders, The Geometry of Jet Bundles, London Math. Soc. Lecture Notes Series 142 (Cambridge University Press, Cambridge, 1989).
    • (1989) London Math. Soc. Lecture Notes Series , vol.142
    • Sauders, D.J.1
  • 27
    • 0000058629 scopus 로고
    • Lepagean forms in higher order variational theory
    • Modern Developments in Analytical Mechanics I: Geometrical Dynamics, Torino, Italy, 1982, edited by S. Benenti, M. Francaviglia, and A. Lichnerowicz Accad. delle Science di Torino, Torino
    • D. Krupka, "Lepagean forms in higher order variational theory," in Modern Developments in Analytical Mechanics I: Geometrical Dynamics, Proc. IUTAM-ISIMM Symposium, Torino, Italy, 1982, edited by S. Benenti, M. Francaviglia, and A. Lichnerowicz (Accad. delle Science di Torino, Torino, 1983), pp. 197-238.
    • (1983) Proc. IUTAM-ISIMM Symposium , pp. 197-238
    • Krupka, D.1
  • 28
    • 0038107706 scopus 로고
    • Variational metrics on R×TM and the geometry of nonconservative mechanics
    • O. Krupková, "Variational metrics on R×TM and the geometry of nonconservative mechanics," Math. Slovaca 44, 315-335 (1994).
    • (1994) Math. Slovaca , vol.44 , pp. 315-335
    • Krupková, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.