On dynamic multi-rigid-body contact problems with Coulomb friction

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 77, Issue 4, 1997, Pages 267-279

  Trinkle, J C ^a   Pang, J S ^b   Sudarsky, S ^a   Lo, G ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000003120     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19970770411     Document Type: Article

References (26)

1. BARAFF, D.: Issues in computing contact forces for non-penetrating rigid bodies. Algorithmica 10 (1993), 292-352.
2. BARAFF, D.: Fast contact force computation for nonpenetrating rigid bodies. In: Proc. SIGGRAPH '94, July 1994, pp. 23-34.
3. BROST, R. C.: Analysis and planning of planar manipulation tasks. Ph. D. thesis, Carnegie Mellon University, School of Computer Science 1991.
4. CHAN, D.; PANG, J. S.: The generalized quasi-variational inequality problem. Math, of Operations Res. 7 (1982), 211-222.
5. COTTE, R. W.; PANG J. S.; STONE, R. E.: The linear complementarity problem. Academic Press 1992.
6. ERDMANN, M. A.: On motion planning with uncertainty. Master's thesis, MIT Department of Electrical Engineering and Computer Science 1984.
7. HAUG, E. J.; WU, S. C.; YANG, S. M.: Dynamic mechanical systems with Coulomb friction, stiction, impact and constraint addition-deletion. I: Theory Mechanisms and Machine Theory 21 (1986), 407-416.
8. KLARBRING, A.: A mathematical programming approach to three-dimensional contact problems with friction. Computat. Meth. in Appl. Mech. and Engin. 58 (1986), 175-200.
9. KLARBRING, A.: Mathematical programming and augmented Lagrangian methods for factional contact problems. In CURNIER, A. (ed.): Proc. Contact Mechanics Internat. Sympos. Presses Polytechniques et Universitaires Romandes 1992, pp. 409-422.
10. KLARBRING, A.: Mathematical programming in contact problems. Chapter 7 in ALIABADI, M. H.; BREBBIA, C. A. (eds.): Computational Methods in Contact Mechanics. Computat. Mech. Publ., Southampton 1993, pp. 233-262.
11. KLARBRING, A.; BJÖRKMAN, G.: A mathematical programming approach to contact problems with friction and varying contact surface. Computers & Structures 30 (1988), 1185-1198.
12. KOJIMA, M.; MEGIDDO, N.; NOMA, T.; YOSHISE, A.: A unified approach to interior point algorithms for linear complementarity problem. Lecture Notes in Computer Science, No. 538, Springer, Berlin etc. 1991.
13. KWAK, B. M:: Complementarity problem formulation of three-dimensional frictional contact. Trans. ASME 58 (1991), 134-140.
14. LIU, Z.; GORTLER, S. J.; COHEN, M. F.: Hierarchical spacetime control. In: Proc. SIGGRAPH '94, 1994, pp. 35-42.
15. LÖTSTEDT, P.: Coulomb friction in two-dimensional rigid-body systems. Z. Angew. Math. Mech. 61 (1981), 605-615.
16. LYNCH, K.: Stable pushing: Mechanics, controllability, and planning. In: Proc. First Workshop on Algorithmic Foundations of Robotics. A. K. Peters, Boston 1994, pp. 239-262.
17. PALMER, R.; CREMER, J.: Simlab: Automatically creating physical systems simulators. In: Proc. Automated Modeling Workshop of the 1992 ASME Winter Annual Meeting, 1992.
18. PANG, J. S.; GABRIEL, S. A.: NE/SQP: A robust algorithm for the nonlinear complementarity problem. Math. Programming., Ser. A 60 (1993), 295-338.
19. PANG, J. S.; TRINKLE, J. C.: Complementarity formulations and existence of solutions of multi-rigid-body contact problems with Coulomb friction. Math. Programming (forthcoming).
20. PANG, J. S.; TRINKLE, J. C.: Dynamic multi-rigid-body systems with concurrent distributed contacts. J. Appl. Mech. (submitted 1996).
21. PANG, J. S.; TRINKLE, J. C.; LO, G.: A complementarity approach to a quasistatic multi-rigid-body contact problem. Computat. Optimization and Appl. 5 (1995), 139-154.
22. SALISBURY, J. K.: Kinematic and force analysis of articulated hands. Ph. D. thesis, Stanford University, Department of Mechanical Engineering 1982. Reprinted in, Robot Hands and the Mechanics of Manipulation, MIT Press, Cambridge 1985.
23. TRINKLE, J. C.; PANG, J. S.; SUDARSKY, S.; LO, G.: On dynamic multi-rigid-body contact problems with Coulomb friction. Technical report 95-003, Department of Computer Science, Texas A & M University, College Station 1995.
24. TRINKLE, J. C.; PAUL, R. P.: Planning for dexterous manipulation with sliding contacts. Internat. J. Robotics Res. 9 (1990) 3, 24-48.
25. TRINKLE, J. C.; RAM, R. C.; FARAHAT, A. O.; STILLER, P. F.: Dexterous manipulation planning and execution of an enveloped slippery workpiece. In: Proc. IEEE Internat. Conf. on Robotics and Automation 1993, 2, pp. 442-448.
26. WANG, T.; MONTEIRO, R. D. C.; PANG, J. S.: An interior point potential reduction algorithm for constrained equations. Math. Programming (forthcoming).