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Volumn 145, Issue 3, 1998, Pages 215-260

Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem

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EID: 0032282916     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050129     Document Type: Article
Times cited : (137)

References (53)
  • 2
    • 0031281661 scopus 로고    scopus 로고
    • Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems
    • M. ANITESCU & F. A. POTRA: Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. ASME Nonlinear Dynamics, 14: 231-247, 1997.
    • (1997) ASME Nonlinear Dynamics , vol.14 , pp. 231-247
    • Anitescu, M.1    Potra, F.A.2
  • 3
    • 0001057945 scopus 로고
    • Issues in computing contact forces for non-penetrating rigid bodies
    • D. BARAFF: Issues in computing contact forces for non-penetrating rigid bodies. Algorithmica, 10: 292-352, 1993.
    • (1993) Algorithmica , vol.10 , pp. 292-352
    • Baraff, D.1
  • 4
    • 85015888072 scopus 로고
    • Fast contact force computation for non-penetrating rigid bodies
    • ACM
    • D. BARAFF: Fast contact force computation for non-penetrating rigid bodies. In Proceedings, SIGGRAPH '94, pages 23-34. ACM, 1994.
    • (1994) Proceedings, SIGGRAPH '94 , pp. 23-34
    • Baraff, D.1
  • 5
    • 0040906546 scopus 로고
    • Sur certain problèmes de frottement
    • H. BÉGHIN: Sur certain problèmes de frottement. Nouvelles Annales (série 2), 5:305-312, 1923-1924.
    • (1923) Nouvelles Annales (Série 2) , vol.5 , pp. 305-312
    • Béghin, H.1
  • 7
    • 0013196171 scopus 로고
    • Differentiation of constraints in differential-algebraic equations
    • S. L. CAMPBELL & B. LEIMKUHLER: Differentiation of constraints in differential-algebraic equations. Mech. Structures Mach., 19: 19-39, 1991.
    • (1991) Mech. Structures Mach. , vol.19 , pp. 19-39
    • Campbell, S.L.1    Leimkuhler, B.2
  • 8
    • 0040312425 scopus 로고
    • Modelling granular flows with complex boundary geometries
    • D. STEWART, D. SINGLETON, & H. GARDNER, editors, Singapore, World Scientific
    • P. W. CLEARY: Modelling granular flows with complex boundary geometries. In D. STEWART, D. SINGLETON, & H. GARDNER, editors, Computational Techniques and Applications: CTAC93, pages 148-156, Singapore, 1994. World Scientific.
    • (1994) Computational Techniques and Applications: CTAC93 , pp. 148-156
    • Cleary, P.W.1
  • 9
    • 21444442767 scopus 로고    scopus 로고
    • Use of particle methods to design mineral processing equipment
    • Eds. E. KREUZER & O. MAHRENHOLTZ
    • P. W. CLEARY & N. G. BARTON: Use of particle methods to design mineral processing equipment. Z. f. Angew. Math. Mech., 76 (Supplement 4): 253-256, 1996. Eds. E. KREUZER & O. MAHRENHOLTZ.
    • (1996) Z. f. Angew. Math. Mech. , vol.76 , Issue.4 SUPPL. , pp. 253-256
    • Cleary, P.W.1    Barton, N.G.2
  • 12
    • 0010910922 scopus 로고
    • Considérations sur le frottement de glissement
    • E. DELASSUS: Considérations sur le frottement de glissement. Nouv. Ann. de Math. (4ème série), 20: 485-496, 1920.
    • (1920) Nouv. Ann. de Math. (4ème Série) , vol.20 , pp. 485-496
    • Delassus, E.1
  • 13
    • 0040312424 scopus 로고
    • Sur les lois du frottement de glissement
    • E. DELASSUS: Sur les lois du frottement de glissement. Bull. Soc. Math. France, 51: 22-33, 1923.
    • (1923) Bull. Soc. Math. France , vol.51 , pp. 22-33
    • Delassus, E.1
  • 14
    • 0001020536 scopus 로고
    • Convex functions of a measure and applications
    • F. DEMENGEL & R. TEMAM: Convex functions of a measure and applications. Indiana Univ. Math. Journal, 33: 673-709, 1984.
    • (1984) Indiana Univ. Math. Journal , vol.33 , pp. 673-709
    • Demengel, F.1    Temam, R.2
  • 16
    • 0003921967 scopus 로고
    • Pergamon Press, London, New York
    • N. DINCULEANU: Vector Measures. Pergamon Press, London, New York, 1967.
    • (1967) Vector Measures
    • Dinculeanu, N.1
  • 18
    • 0028459541 scopus 로고
    • On a representation of friction in configuration space
    • M. ERDMANN: On a representation of friction in configuration space. Int. J. Robotics Research, 13(3):240-271, 1994.
    • (1994) Int. J. Robotics Research , vol.13 , Issue.3 , pp. 240-271
    • Erdmann, M.1
  • 20
    • 0022906594 scopus 로고
    • Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition, deletion I, II and III
    • E. J. HAUG, S. C. WU, & S. M. YANG: Dynamics of mechanical systems with Coulomb friction, stiction, impact and constraint addition, deletion I, II and III. Mechanism and Machine Theory, 21:401-425, 1986.
    • (1986) Mechanism and Machine Theory , vol.21 , pp. 401-425
    • Haug, E.J.1    Wu, S.C.2    Yang, S.M.3
  • 23
    • 0002250229 scopus 로고    scopus 로고
    • Numerical methods on (and off) manifolds
    • F. CUCKER & M. SHUB, editors, Springer-Verlag, Berlin, Heidelberg, New York
    • A. ISERLES: Numerical methods on (and off) manifolds. In F. CUCKER & M. SHUB, editors, Foundations of Computational Mathematics, pages 180-189, Springer-Verlag, Berlin, Heidelberg, New York, 1997.
    • (1997) Foundations of Computational Mathematics , pp. 180-189
    • Iserles, A.1
  • 25
    • 0022680550 scopus 로고
    • Impact with friction
    • J. B. KELLER: Impact with friction. J. Appl. Mech., 53: 1-4, 1986.
    • (1986) J. Appl. Mech. , vol.53 , pp. 1-4
    • Keller, J.B.1
  • 26
    • 0001318158 scopus 로고
    • Zu painleves kritik der Coulombschen reibungsgesetze
    • F. KLEIN: Zu Painleves Kritik der Coulombschen Reibungsgesetze. Zeit. Math. Physik, 58: 186-191, 1909.
    • (1909) Zeit. Math. Physik , vol.58 , pp. 186-191
    • Klein, F.1
  • 27
    • 84983942356 scopus 로고
    • Coulomb friction in two-dimensional rigid-body systems
    • P. LÖTSTEDT: Coulomb friction in two-dimensional rigid-body systems. Z. Angew. Math. Mech., 61: 605-615, 1981.
    • (1981) Z. Angew. Math. Mech. , vol.61 , pp. 605-615
    • Lötstedt, P.1
  • 28
    • 0020115958 scopus 로고
    • Mechanical systems of rigid bodies subject to unilateral constraints
    • P. LÖTSTEDT: Mechanical systems of rigid bodies subject to unilateral constraints. SIAM J. Appl. Math., 42: 281-296, 1982.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 281-296
    • Lötstedt, P.1
  • 29
    • 0010125695 scopus 로고
    • Time-dependent contact problems in rigid-body mechanics
    • P. LÖTSTEDT: Time-dependent contact problems in rigid-body mechanics. Math. Prog. Study, 17: 103-110, 1982.
    • (1982) Math. Prog. Study , vol.17 , pp. 103-110
    • Lötstedt, P.1
  • 32
    • 0040312422 scopus 로고
    • Sur les mesures différentielles de fonctions vectorielles et certain problèmes d'évolution
    • J. J. MOREAU: Sur les mesures différentielles de fonctions vectorielles et certain problèmes d'évolution. C. R. Acad. Sci. Paris, Sér. A, 282: 837-840, 1976.
    • (1976) C. R. Acad. Sci. Paris, Sér. A , vol.282 , pp. 837-840
    • Moreau, J.J.1
  • 33
    • 0000367712 scopus 로고
    • Standard inelastic shocks and the dynamics of unilateral constraints
    • G. DEL PIERO & F. MACERI, editors, Springer-Verlag, Vienna, New York
    • J. J. MOREAU: Standard inelastic shocks and the dynamics of unilateral constraints. In G. DEL PIERO & F. MACERI, editors, Unilateral Problems in Structural Mechanics, pp. 173-221, Springer-Verlag, Vienna, New York, 1985.
    • (1985) Unilateral Problems in Structural Mechanics , pp. 173-221
    • Moreau, J.J.1
  • 34
    • 0000458726 scopus 로고
    • Frottement, adhésion, lubrification
    • J. J. MOREAU: Frottement, adhésion, lubrification. C. R. Acad. Sci. Paris, Série II, 302: 799-801, 1986.
    • (1986) C. R. Acad. Sci. Paris, Série II , vol.302 , pp. 799-801
    • Moreau, J.J.1
  • 35
    • 0002576777 scopus 로고
    • Unilateral contact and dry friction in finite freedom dynamics
    • J. J. MOREAU & P. D. PANAGIOTOPOULOS, editors, Springer-Verlag, Vienna, New York
    • J. J. MOREAU: Unilateral contact and dry friction in finite freedom dynamics. In J. J. MOREAU & P. D. PANAGIOTOPOULOS, editors, Nonsmooth Mechanics and Applications, pp. 1-82. Springer-Verlag, Vienna, New York, 1988.
    • (1988) Nonsmooth Mechanics and Applications , pp. 1-82
    • Moreau, J.J.1
  • 36
    • 0007536004 scopus 로고
    • Numerical experiments in granular dynamics: Vibration-induced size segregation
    • M. RAOUS, M. JEAN, & J. J. MOREAU, editors, New York, Plenum Press
    • J. J. MOREAU: Numerical experiments in granular dynamics: Vibration-induced size segregation. In M. RAOUS, M. JEAN, & J. J. MOREAU, editors, Contact Mechanics, pp. 347-158, New York, 1995. Plenum Press.
    • (1995) Contact Mechanics , pp. 347-1158
    • Moreau, J.J.1
  • 37
    • 0002576773 scopus 로고
    • Bounded variation in time
    • Birkhäuser, Basel, Boston
    • J. J. MOREAU: Bounded variation in time. In Topics in nonsmooth mechanics, pages 1-74. Birkhäuser, Basel, Boston, 1988.
    • (1988) Topics in Nonsmooth Mechanics , pp. 1-74
    • Moreau, J.J.1
  • 39
    • 0000094261 scopus 로고
    • Sur le lois du frottement de glissemment
    • The following articles under the same title appeared in this journal, vol. 141, pp. 401-405 and 546-552 (1905)
    • P. PAINLEVÉ: Sur le lois du frottement de glissemment. C. R. Acad. Sci. Paris, 121: 112-115, 1895. The following articles under the same title appeared in this journal, vol. 141, pp. 401-405 and 546-552 (1905).
    • (1895) C. R. Acad. Sci. Paris , vol.121 , pp. 112-115
    • Painlevé, P.1
  • 40
    • 0001233839 scopus 로고    scopus 로고
    • Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction
    • J.-S. PANG & J. C. TRINKLE: Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction. Math. Programming, 73: 199-226, 1996.
    • (1996) Math. Programming , vol.73 , pp. 199-226
    • Pang, J.-S.1    Trinkle, J.C.2
  • 41
  • 45
    • 0040906528 scopus 로고    scopus 로고
    • Passive dynamic walking research at Cornell
    • Cornell University, March
    • A. RUINA, M. GARCIA & M. COLEMAN: Passive dynamic walking research at Cornell. Technical report, Cornell University, March 1996. Available as http://tam.cornell.edu/faculty/ruina/walking_proj.pdf.
    • (1996) Technical Report
    • Ruina, A.1    Garcia, M.2    Coleman, M.3
  • 46
    • 0039101974 scopus 로고    scopus 로고
    • Reformulations of measure differential inclusions and their closed graph property
    • Submitted
    • D. E. STEWART: Reformulations of measure differential inclusions and their closed graph property. J. Amer. Math. Soc., 1997. Submitted.
    • (1997) J. Amer. Math. Soc.
    • Stewart, D.E.1
  • 47
    • 0030213721 scopus 로고    scopus 로고
    • An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction
    • D. E. STEWART & J. C. TRINKLE: An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction. Internat. J. Num. Meths. Eng., 39: 2673-2691, 1996.
    • (1996) Internat. J. Num. Meths. Eng. , vol.39 , pp. 2673-2691
    • Stewart, D.E.1    Trinkle, J.C.2
  • 49
    • 0000835653 scopus 로고
    • Rigid body collisions with friction
    • W. J. STRONGE: Rigid body collisions with friction. Proc. Roy. Soc. London, A431: 168-181, 1990.
    • (1990) Proc. Roy. Soc. London , vol.A431 , pp. 168-181
    • Stronge, W.J.1
  • 50
    • 0030652501 scopus 로고    scopus 로고
    • Dynamic multi-rigid-body systems with concurrent distributed contacts
    • To appear
    • J. C. TRINKLE & J.-S. PANG: Dynamic multi-rigid-body systems with concurrent distributed contacts. To appear in IEEE Trans. Robotics Automat., 1997.
    • (1997) IEEE Trans. Robotics Automat.
    • Trinkle, J.C.1    Pang, J.-S.2
  • 51
    • 0344575907 scopus 로고
    • On dynamic multi-rigid-body contact problems with Coulomb friction
    • submitted to
    • J. C. TRINKLE, J.-S. PANG, S. SUDARSKY & G. LO: On dynamic multi-rigid-body contact problems with Coulomb friction. submitted to Z. Angew. Math. Mech., 1995.
    • (1995) Z. Angew. Math. Mech.
    • Trinkle, J.C.1    Pang, J.-S.2    Sudarsky, S.3    Lo, G.4
  • 52
    • 0026915620 scopus 로고
    • Two-dimensional rigid-body collisions with friction
    • Y. WANG & M. T. MASON: Two-dimensional rigid-body collisions with friction. J. Appl. Mech., 59: 635-642, 1992.
    • (1992) J. Appl. Mech. , vol.59 , pp. 635-642
    • Wang, Y.1    Mason, M.T.2


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