Static of Parallel Manipulators and Closeness to Singularity

Journal of Mechanisms and Robotics

Volumn 1, Issue 1, 2009, Pages 1-6

  Hubert, J ^a   Merlet, J P ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FIXED THRESHOLD; JOINT FORCES; PARALLEL MANIPULATORS; PARALLEL ROBOTS; PLANAR PARALLEL ROBOTS; PRACTICAL ISSUES;

MANIPULATORS;

ROBOTS;

EID: 78651523726     PISSN: 19424302     EISSN: 19424310     Source Type: Journal    
DOI: 10.1115/1.2961335     Document Type: Article

References (28)

1. Borel, E., 1998, "Mémoire sur les déplacements à trajectoire sphériques," Mech. Mach. Theory, 33(1), pp. 1-128.
2. Bricard, R., 1897, "Mémoire sur la théorie de l'octaèdre articulé," J. Math. Pures Appl., 3, pp. 113-148.
3. Cauchy, A., 1813, "Deuxième mémoire sur les polygones et les polyèdres," J. Ec. Polytech. Paris, pp. 87-98.
4. Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Clarendon, Oxford.
5. Gosselin, C., and Angeles, J., 1990, "Singularity Analysis of Closed-Loop Kinematic Chains," IEEE Trans. Rob. Autom., 6(3), pp. 281-290.
6. Husty, M. L., and Karger, A., 2000, "Architecture Singular Parallel Manipulators and Their Self-Motions," in ARK, Piran, Jun., 25-29, pp. 355-364.
7. Wohlhart, K., 1999, "Degrees of Shakiness," Mech. Mach. Theory, 34(7), pp. 1103-1126.
8. Zlatanov, D., Fenton, R. G., and Benhabib, B., 1998, "Identification and Classification of the Singular Configurations of Mechanisms," Mech. Mach. Theory, 33(6), pp. 743-760.
9. Mayer St-Onge, B., and Gosselin, C. M., 2000, "Singularity Analysis and Representation of the General Gough-Stewart Platform," Int. J. Robot. Res., 19(3), pp. 271-288.
10. Merlet, J.-P., 1989, "Singular Configurations of Parallel Manipulators and Grassmann Geometry," Int. J. Robot. Res., 8(5), pp.45-56.
11. Pernkopf, F., 2003, "Workspace Analysis of Stewart-Gough Platforms" Ph.D. hesis, South Korea, University of Innsbruck, Innsbruck.
12. Pottmann, H., Peternell, M., and Ravani, B., 1998, "Approximation in Line Space. Applications in Robot Kinematics," in, ARK, Strobl, Jun. 29-Jul. 4, pp. 403-412.
13. Sefrioui, J., and Gosselin, C. M., 1995, "On the Quadratic Nature of the Singularity Curves of Planar Three-Degree-of-Freedom Parallel Manipulators," Mech. Mach. Theory, 30 4, pp. 533-551.
14. Voglewede, P. A, and Ebert-Uphoff, I., 2004, "Measuring Closeness to Singularities for Parallel Manipulators," in IEEE International Conference on Robotics and Automation, New Orleans, LA, Apr. 28-30, pp. 4539-4544.
15. Wolf, A., and Shoham, M., 2003, "Investigation of Parallel Manipulators Using Linear Complex Approximation," ASME J. Mech. Des., 125(3), pp. 564-572.
16. Bhattacharya, S., Hatwal, H., and Ghosh, A., 1998, "Comparison of an Exact and an Approximate Method of Singularity Avoidance in Platform Type Parallel Manipulators," Mech. Mach. Theory, 33(7), pp. 965-974.
17. Nenchev, D. N., and Uchiyama, M., 1996, "Singularity-Consistent Path Planning and Control of Parallel Robot Motion Through Instantaneous-Self-Motion Type," in IEEE International Conference on Robotics and Automation, Minneapolis, MN, Apr. 24-26, pp. 1864-1870.
18. O'Brien, J. F., and Wen, J. T., 2001, "Kinematic Control of Parallel Robots in the Presence of Unstable Singularities," in IEEE International Conference on Robotics and Automation, Seoul, South Korea, May 23-25, pp. 3154-3159.
19. Sen, S., Dasgupta, B., and Mallik, A. K., 2003, "Variational Approach for Singularity-Path Planning of Parallel Manipulators," Mech. Mach. Theory, 38(11), pp. 1165-1183.
20. Zein, M., Wenger, P., and Chablat, D., 2006, "Singular Curves and Cusp Points in the Joint Space of 3-RPR Parallel Manipulators," in IEEE International Conference on Robotics and Automation, Orlando, FL, May 16-18, pp. 777-782.
21. Merlet, J.-P., 2007, "A Formal-Numerical Approach for Robust in-Workspace Singularity Detection," IEEE Trans. Rob. Autom., 23(3), pp. 393-402.
22. Li, H., Gosselin, C. M., and Richard, M. J., 2006, "Determination of Maximal Singularity-Free Zones in the Workspace of Planar Three-Degree-of-Freedom Parallel Mechanisms," Mech. Mach. Theory, 41(10), pp. 1157-1167.
23. Dash, A. K., 2005, "Workspace Generation and Planning Singularity-Free Path for Parallel Manipulators," Mech. Mach. Theory, 40(7), pp. 778-805.
24. Wenger, P., and Chablat, D., 1998, "Workspace and Assembly Modes in Fully Parallel Manipulators: A Descriptive Study," in ARK, Strobl, Jun. 29-Jul 4, pp. 117-126.
25. Zein, M., Wenger, P., and Chablat, D., 2007, "Singular Curves in the Joint Space and Cusp Points Of 3-RPR Parallel Manipulators," Robotica, 25(6), pp. 712-724.
26. Hesselbach, J., and others, 2002, "Connecting Assembly Modes for Workspace Enlargement," in, ARK, Caldes de Malavalla, Jun. 29-Jul. 2, pp. 347-356.
27. Jui C., K. K., and Sun, Q., 2005, "Path Tracking of Parallel Manipulators in the Presence of Force Singularity," ASME J. Dyn. Syst., Meas., Control, 127(4), pp. 550-563.
28. Lee, M. K., and Park, K. W., 1999, "Kinematics and Dynamics Analysis of a Double Parallel Manipulator for Enlarging Workspace and Avoiding Singularities," IEEE Trans. Rob. Autom., 15(6), pp. 1024-1034.