Spatial compliant motion of a rigid body constrained by a frictional contact

International Journal of Robotics Research

Volumn 22, Issue 9, 2003, Pages 733-756

  Huang, Shuguang ^a   Schimmels, Joseph M ^a  

^a Marquette University   (United States)

Author keywords

Frictional contact; Rigid body compliant motion; Spatial compliance; Unilateral constraint

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF MOTION; FRICTION; MATHEMATICAL MODELS; MONTE CARLO METHODS; POSITION CONTROL; STIFFNESS MATRIX; TORQUE;

FRICTIONAL CONTACT; RIGID-BODY COMPLIANT MOTION; SPATIAL COMPLIANCE; UNILATERAL CONSTRAINT;

MOTION CONTROL;

EID: 0141518095     PISSN: 02783649     EISSN: None     Source Type: Journal    
DOI: 10.1177/02783649030229004     Document Type: Article

References (34)

1. Alexander, J. C., and Maddocks, J. H. 1993. Bounds on the friction-dominated motion of a pushed object. International Journal of Robotics Research 12(3):231-248.
2. Andersson, L.-E., and Klarbring, A. 2001. A review of the theory of static and quasi-static frictional contact problems in elasticity. Philosophical Transactions of the Royal Society of London Series A - Mathematical and Physical Sciences 359:2519-2539.
3. Bronshtein, I. N. and Semendyayev, K. A. 1964. A Guide-Book to Mathematics. Macmillan, New York.
4. Brost, R. C., and Mason, M. T. 1990. Graphical analysis of planar rigid-body dynamics with multiple frictional contacts. In Miura, H. and Arimoto, S., editors, Robotics Research: The Fifth International Symposium, MIT Press, Cambridge, MA, pp. 293-300.
5. Cocu, M. 1984. Existence of solutions of Signorini problems with friction. International Journal of Engineering Science 22(5):567-575.
6. Dupont, P. E. 1993. Existence and uniqueness of rigid-body dynamics with Coulomb friction. Transactions of the Canadian Society for Mechanical Engineering 17(4A):513-525.
7. Duvaut, G., and Lions, J. L. 1976. Inequalities in Mechanics and Physics. Springer-Verlag, Berlin.
8. Eck, C., and Jarusek, J. 1998. Existence results for the static contact problem with Coulomb friction. Mathematical Models and Methods in Applied Sciences 8(5):445-468.
9. Erdmann, M. A. 1984. On motion planning with uncertainty. Master's thesis, Massachusetts Institute of Technology, Cambridge, MA.
10. Erdmann, M. 1994. On a representation of friction in configuration space. International Journal of Robotics Research 13(3):240-271.
11. Howe, R. D., and Cutkosky, M. R. 1996. Practical force-motion models for sliding manipulation. International Journal of Robotics Research 15(6):557-572.
12. Huang, S., and Schimmels, J. M. 1998. Achieving an arbitrary spatial stiffness with springs connected in parallel. ASME Journal of Mechanical Design 120(4):520-526.
13. Huang, S., and Schimmels, J. M. 2002. The duality in spatial stiffness and compliance as realized in parallel and serial elastic mechanisms. ASME Journal of Dynamic Systems, Measurement, and Control 124(1):74-84.
14. Jellett, J. H. 1872. A Treatise on the Theory of Friction. Hodges, Foster, and Co., Dublin.
15. Kao, I., and Cutkosky, M. R. 1992. Quasi-static manipulation with compliance and sliding. International Journal of Robotics Research 11(1):20-40.
16. Klarbring, A., and Pang, J.-S. 1998. Existence of solutions to discrete semicoercive frictional contact problems. SIAM Journal of Optimization 8(2):414-442.
17. Klarbring, A., and Pang, J.-S. 1999. The discrete steady sliding problem. Zeitschrift für Angewandte Mathematik und Mechanik 79(2):75-90.
18. Loncaric, J. 1987. Normal forms of stiffness and compliance matrices. IEEE Journal of Robotics and Automation 3(6):567-572.
19. Lötstedt, P. 1981. Coulomb friction in two-dimensional rigid body systems. Zeitschrift für Angewandte Mathematik und Mechanik 61:605-615.
20. Lynch, K. M., and Mason, M. T. 1996. Stable pushing: Mechanics, controllability, and planning. International Journal of Robotics Research 15(6):533-556.
21. Mason, M. T. 1986. Mechanics and planning of manipulator pushing operations. International Journal of Robotics Research 5:53-71.
22. Mason, M. T., and Wang, Y. 1988. On the inconsistency of rigid-body frictional planar mechanics. In Proceeding of the IEEE International Conference on Robotics and Automation, Philadelphia, PA, pp. 524-528.
23. Painlevé, P. 1895. Sur les lois du frottement de glissement. Comptes Rendus de l'Académie des Sciences 121:112-115.
24. Pang, J., and Trinkle, J. C. 1996. Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction. Mathematical Programming 73(2):199-226.
25. Pang, J., Trinkle, J. C., and Lo, G. 1996. A complementarity approach to a quasi-static multi-rigid-body contact problem. Computational Optimization and Applications 5:139-154.
26. Patterson, T., and Lipkin, H. 1993. Structure of robot compliance. ASME Journal of Mechanical Design 115(3):576-580.
27. Peshkin, M. A., and Sanderson, A. C. 1988. The motion of a pushed, sliding workpiece. IEEE Journal on Robotics and Automation 4(6):569-598.
28. Rajan, V. T., Burridge, R., and Schwartz, J. T. 1987, Dynamics of a rigid body in frictional contact with rigid wells: motion in two dimensions. In Proceeding of the IEEE International Conference on Robotics and Automation, Raleigh, NC, pp. 671-677.
29. Schimmels, J. M., and Peshkin, M. A. 1994. Force-assembly with friction. IEEE Transactions on Robotics and Automation 10(4):465-479.
30. Stewart, D. E. 2000. Rigid-body dynamics with friction and impact. SIAM Review 42(1):3-39.
31. Trinkle, J. C., and Zeng, D. C. 1995. Prediction of the quasi-static planar motion of a contacted rigid body. IEEE Transactions on Robotics and Automation 11(2):229-246.
32. Wang, Y., Kumar, V., and Abel, J. 1992. Dynamics of rigid bodies undergoing multiple frictional contact. In Proceeding of the IEEE International Conference on Robotics and Automation, Nice, France, pp. 2764-2769.
33. Whitney, D. E. 1982. Quasi-static assembly of compliantly supported rigid parts. ASME Journal of Dynamic Systems, Measurement, and Control 104(1):65-77.
34. Xydas, N., and Kao, I. 1999. Modeling of contact mechanics and friction limit surfaces for soft fingers in robotics, with experimental results. International Journal of Robotics Research 18(8):941-950.