On the passive force closure set of planar grasps and fixtures

International Journal of Robotics Research

Volumn 29, Issue 11, 2010, Pages 1435-1454

  Shapiro, Amir ^a   Rimon, Elon ^b   Shoval, Shraga ^c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c ARIEL UNIVERSITY   (Israel)

Author keywords

Compliant force closure; Compliant grasps; Force closure set; Linearly controlled grasps

Indexed keywords

BASIN OF ATTRACTION; CLOSED-FORM EXPRESSION; COMPLIANT GRASPS; FORCE CLOSURE; FORCE DISPLACEMENT; FORCES AND TORQUES; GRASPED OBJECT; LINEARLY CONTROLLED GRASPS; MORSE THE-ORY; PASSIVE FORCES; PLANAR GRASP;

TOOLS; TOPOLOGY;

FIXTURES (TOOLING);

EID: 77957783912     PISSN: 02783649     EISSN: 17413176     Source Type: Journal    
DOI: 10.1177/0278364910364424     Document Type: Article

References (37)

1. Bicchi, A. (1994). On the problem of decomposing grasp and manipulation forces in multiple whole-limb manipulation. International Journal of Robotics and Autonomous Systems, 13(4): 127-147.
2. Bicchi, A. (2000). Hands for dexterous manipulation and robust grasping: A difficult road toward simplicity. IEEE Transactions on Robotics and Automation, 16(6): 652-662.
3. Brook, N., Shoham, M. and Dayan, J. (1998). Controllability of grasps and manipulations in multi-fingered hands. IEEE Transactions on Robotics and Automation, 14(1): 185-192.
4. Brost, R. C. and Peters, R. R. (1998). Automatic design of 3-D fixtures and assembly pallets. The International Journal of Robotics Research, 17(12): 1243-1281.
5. Cutkosky, M. R. and Kao, I. (1989). Computing and controlling the compliance of a robotic hand. IEEE Transactions on Robotics and Automation, 5(2): 151-165.
6. Cutkosky, M. R. and Wright, P. K. (1986). Friction, stability and the design of robotic hands. The International Journal of Robotics Research, 5(4): 20-37.
7. Erdmann, M. A. (1984). On Motion Planning With Uncertainty. Technical Report AI-TR-810 (MS Thesis), MIT AI Lab. Erdmann, M. A. (1994). On a representation of friction in configuration space. The International Journal of Robotics Research, 13(3): 240-271.
8. Goresky and Macpherson (1980). Stratified Morse Theory. New York, Springer.
9. Hanafusa, H. and Asada, H. (1982). Stable prehension by a robot hand with elastic fingers. Robot Motion, B. et al. (ed.). Cambridge, MA, MIT Press, pp. 322-335.
10. Harada, K. and Kaneko, M. (2002). A sufficient condition for manipulation of enveloping family. IEEE Transactions on Robotics and Automation, 18(4): 597-607.
11. Huang, S. and Schimmels, J. M. (1998). The bounds and realization of spatial stiffnesses achieved with simple springs connected in parallel. IEEE Transactions on Robotics and Automation, 14(3): 466-475.
12. Huang, S. and Schimmels, J. M. (2000). The bounds and realization of spatial stiffnesses compliances achieved with simple serial elastic mechanisms. IEEE Transactions on Robotics and Automation, 16(1): 99-103.
13. Johnson, K. L. (1985). Contact Mechanics. Cambridge, Cambridge University Press.
14. Koditschek, D. E. (1989). The application of total energy as a lyapunov function for mechanical control systems. Control Theory and Multibody Systems (AMS Series in Contemporary Mathematics, Vol. 97), J. Marsden, P. Krishnaprasad and J. Simo (eds). Providence, RI, pp. 131-158.
15. Liu, G. F., Li, J. and Li, Z. X. (2002). Coordinated manipulation of objects by multifingered robotic hand in contact space and active joint space. IEEE International Conference on Robotics and Automation, pp. 3743-3748.
16. Milnor, J. W. (1963). Morse Theory. Princeton, NJ, Princeton University Press.
17. Milnor, J. W. (1965). Topology from the Differentiable Viewpoint. Charlottesville, VA, The University Press of Virginia.
18. Montana, D. J. (1992). Contact stability for two-fingered grasps. IEEE Transactions on Robotics and Automation, 8(4): 421-1230
19. Nguyen, V.-D. (1988). Constructing force-closure grasps. The International Journal of Robotics Research, 7(3): 3-16.
20. Omata, T. and Nagata, K. (2000). Rigid body analysis of the indeterminate grasp force in power grasps. IEEE Transactions on Robotics and Automation, 16(1): 46-54.
21. Ott, C. and Nakamura, Y. (2008). Resolving the nonintegrability of nullspace velocities for compliance control of redundant manipulators by semi-definite Lyapunov functions. IEEE International Conference on Robotics and Automation, pp. 1999-2004.
22. Ponce, J. (1996). On planning immobilizing fixtures for 3D polyhedral parts. IEEE International Conference on Robotics and Automation, pp. 509-514.
23. Ponce, J., Sullivan, S., Sudsang, A., Boissonnat, J.-D. and Merlet, J.-P. (1997). On computing four-finger equilibrium and force-closure grasps of polyhedral objects. The International Journal of Robotics Research, 16(1): 11-35.
24. Reuleaux, F. (1963). The Kinematics of Machinery. New York, Dover (originally published by Macmillan, 1876).
25. Rimon, E., Shoval, S. and Shapiro, A. (2001). Design of a spider robot for motion with quasistatic force constraints. Autonomous Robots, 10: 279-296.
26. Rong, K. Y., Huang, S. H. and Ho, Z. (2005). Advanced Computer-Aided Fixture Design. Boston, MA, Elsevier.
27. Salisbury, J. K. (1982). Kinematic and Force Analysis of Articulated Hands. PhD thesis, Department of Mechanical Engineering, Stanford University.
28. Schlegl, T., Buss, M., Omata, T. and Schmidt, G. (2001). Fast dextrous regrasping with optimal contact forces and contact sensor-based impedance control. IEEE International Conference on Robotics and Automation, pp. 103-108.
29. Shapiro, A. (2003). Design and Control of an Autonomous Spider- Like Robot. PhD thesis, Department of Mechanical Engineering, Technion, http://robots.technion.ac.il.
30. Shapiro, A., Rimon, E. and Burdick, J. W. (2001). Passive force closure and its computation in compliant-rigid grasps. IEEE/ RSJ International Conference on Intelligent Robots and Systems (IROS).
31. Shapiro, A., Rimon, E. and Shoval, S. (2008). On the Passive Force Closure Set of Planar Grasps and Fixtures. Technical Report, Department of Mechanical Engineering, Technion, http://robots.technion.ac.il/publications.
32. Shimoga,K. B. and Goldenberg,A.A. (1992). Constructing multifingered grasps to achieve admittance center. IEEE International Conference on Robotics and Automation, pp. 2296-2301.
33. Trappey, J. C. and Liu, C. R. (1990). A literature survey of fixture design automation. The International Journal of Advanced Manufacturing Technology, 5(3): 240-255.
34. Xiong, C., Ding, H. and Xiong, Y. (2007). Fundamentals of Robotic Grasping And Fixturing ( Series on Manufacturing Systems and Technology). Singapore, World Scientific.
35. Xiong, C. H., Li, Y. F., Ding, H. and Xiong, Y.-L. (1999). On the dynamic stability of grasping. The International Journal of Robotics Research, 18(9): 951-958.
36. Xiong, C.-H., Wang, M. Y., Tang, Y. and Xiong, Y.-L. (2005). Compliant grasping with passive forces. Journal of Robotics Systems, 22(5): 271-285.
37. Yoshikawa, T. (1999). Passive and active closure by constraining mechanisms. Journal of Dynamic Systems, Measurement, and Control, 121(3-4): 418-424.