Flagged parallel manipulators

IEEE Transactions on Robotics

Volumn 23, Issue 5, 2007, Pages 1013-1023

  Alberich Carramiñana, Maria ^a,b   Thomas, Federico ^a   Torras, Carme ^a  

^a INSTITUT DE ROBÒTICA I INFORMÀTICA INDUSTRIAL CSIC UPC   (Spain)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Flag manifold; Kinematics singularities; Manipulator design; Parallel manipulators; Stratification

Indexed keywords

MOBILE ROBOTS; MOTION COMPENSATION; ROBOTICS; TOPOLOGY;

FLAGGED PARALLEL MANIPULATOR; THREE-LEGGED MANIPULATORS;

MANIPULATORS;

EID: 35348873770     PISSN: 15523098     EISSN: None     Source Type: Journal    
DOI: 10.1109/TRO.2007.903819     Document Type: Article

References (28)

1. M. Alberich-Carramiñana, V. González, and C. Torras, "The topology of singularities of flagged parallel manipulators," IRI Tech. Rep., 2005. [Online]. Available: http://www-iri.upc.es/people/torras/articles/IRIRep05.pdf
2. P. Ben-Horin and M. Shoham, "Singularity condition of six degree-of-freedom three-legged parallel robots based on Grassmann-Cayley algebra," IEEE Trans. Robot., vol. 22, no. 4, pp. 577-590, Aug. 2006.
3. I. A. Bonev and C. M. Gosselin, "Singularity loci of planar parallel manipulators with revolute joints," in Proc. 2nd Workshop Comput. Kinemat., 2001, pp. 291-299.
4. 2 fully parallel manipulator," IEEE Trans. Robot. Autom., vol. 14, no. 2, pp. 326-328, Apr. 1998.
5. H. Bruyninckx, "Forward kinematics for Hunt-Primrose parallel manipulators," Mechanism Mach. Theory, vol. 34, pp. 657-664, 1999.
6. C. L. Collins and G. L. Long, "The singularity analysis of an in-parallel hand controller for force-reflected teleoperation," IEEE Trans. Robot. Autom., vol. 11, no. 5, pp. 661-669, Oct. 1995.
7. C. L. Collins and J. M. McCarthy, "The singularity loci of two triangular parallel manipulators, proc. of the," in Proc. IEEE Int. Conf. Adv. Robot., 1997, pp. 473-479.
8. R. DiGregorio, "Analytic formulation of the 6-3 fully-parallel manipulator's singularity determination," Robotica, vol. 19, pp. 663-667, 2001.
9. R. DiGregorio, "Singularity-locus expression of a class of parallel mechanism," Robotica, vol. 20, pp. 323-328, 2002.
10. D. M. Downing, A. E. Samuel, and K. H. Hunt, "Identification of the special configurations of the octahedral manipulator using the pure condition," Int. J. Robot. Res., vol. 21, no. 2, pp. 147-160, 2002.
11. W. Fulton, "Young Tableaux," in London Mathematical Society Student Texts. Cambridge, U.K.: Cambridge Univ. Press, 1997, vol. 35.
12. C. Gosselin and J. Angeles, "Singularity analysis of closed-loop kinematic chains," IEEE Trans. Robot. Autom., vol. 6, no. 3, pp. 281-290, Jun. 1990.
13. H. Hiller, Geometry of Coxeter Groups, Research Notes in Mathematics London, U.K.: Pitman, 1982.
14. Z. Huang, L. H. Chen, and Y. W. Li, "The singularity principle and property of stewart parallel manipulator," J. Robotic Syst., vol. 20, no. 4, pp. 163-176, 2003.
15. K. H. Hunt and E. J. F. Primrose, "Assembly configurations of some in-parallel-actuated manipulators," Mechanism Mach. Theory, vol. 28, no. 1, pp. 31-42, 1993.
16. C. Innocenti and V. Parenti-Castelli, "Singularity-free evolution from one configuration to another in serial and fully-parallel manipulators," in Proc. ASME 22nd Biennial Mechan. Conf.: Robot., Spatial Mechan., Mechan. Syst., 1992, pp. 553-560.
17. D. Kim and W. Y. Chung, "Analytic singularity equation and analysis of six-DOF parallel manipulators using local structuration method," IEEE Trans. Robot. Autom., vol. 5, no. 4, pp. 612-622, Aug. 1999.
18. X. Kong and C. M. Gosselin, "Generation and forward displacement analysis of two new classes of analytic 6-SPS parallel manipulators," J. Robot. Syst., vol. 18, no. 6, pp. 295-304, 2001.
19. C. Kosmowski, A First Course in Algebraic Topology. Cambridge, U.K.: Cambridge Univ. Press, 1980.
20. H. Li, C. M. Gosselin, M. J. Richard, and B. M. St-Onge, "Analytic form of the six-dimensional singularity locus of the general Gough-Stewart platform," J. Mechan. Des., vol. 128, no. 1, pp. 279-287, 2006.
21. J.-P. Merlet, Parallel Robots. New York: Springer, 2000.
22. A. S. Posamenteier and C. T. Salkind, Challenging Problems in Geometry. New York: MacMillan Company, 1970.
23. P. Sankaran and P. Zvengrowski, "Stable parallelizability of partially oriented flag manifolds II," Can. J. Math, vol. 49, no. 6, pp. 1323-1339, 1997.
24. S.-K. Song and D.-S. Kwon, "A tetrahedron approach for a unique closed-form solution of the forward kinematics of six-DOF parallel mechanisms with multiconnected joints," J. Robot. Syst., vol. 19, no. 6, pp. 269-281, 2002.
25. B. M. St-Onge and C. M. Gosselin, "Singularity analysis and representation of the general Gough-Stewart platform," Int. J. Robot. Res., vol. 19, no. 3, pp. 271-288, 2000.
26. C. Torras, F. Thomas, and M. Alberich-Carramiñana, "Stratifying the singularity loci of a class of parallel manipulators," IEEE Trans. Robot., vol. 22, no. 1, pp. 23-32, Feb. 2006.
27. A. Wolf and M. Shoham, "Investigation of parallel manipulators using linear complex approximation," ASME Trans. J. Mechan. Des., vol. 125, pp. 564-572, 2003.
28. C. Zhang and S.-M. Song, "Forward kinematics of a class of parallel (Stewart) platforms with closed-form solutions," in Proc. Int. Conf. Robot. Autom., 1991, pp. 2676-2681.