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Numerical and experimental characterization of singularities of a six-wire parallel architecture

Published online by Cambridge University Press:  01 May 2006

Erika Ottaviano*
Affiliation:
Laboratory of Robotics and Mechatronics, University of Cassino, via Di Biasio 43, 03043 Cassino (FR), Italy.
Marco Ceccarelli
Affiliation:
Laboratory of Robotics and Mechatronics, University of Cassino, via Di Biasio 43, 03043 Cassino (FR), Italy.
*
*Corresponding author. E-mail: [email protected]

Summary

A characterization of singularities for a six-wire parallel architecture is presented as a result of numerical and experimental analyses. Numerical analysis has been developed through geometrical and analytical considerations. The study is based on a classification that has been derived on the basis of the geometry of tetrahedra, and singular configurations have been classified as a function of the tetrahedron volume. Experimental characterization has been carried out by considering the wire parallel architecture Cassino tracking system (CATRASYS). Experimental results are reported to characterize the performance of the CATRASYS chain in different operating conditions as an illustrative practical example.

Type
Article
Copyright
Copyright © Cambridge University Press 2006

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References

1.Angeles, J., “Is there a characteristic length of a rigid body displacement?,” Proceedings of the 3rd International Workshop on Computational Kinematics CK 2005, Cassino, Italy 2005 Paper 25 (CD Proceedings).Google Scholar
2.Parkin, I. A., “The screws for finite displacement of a rigid body expressed in terms of its symmetry screws,” Proceedings of the 3rd International Workshop on Computational Kinematics CK 2005, Cassino, Italy 2005 Paper 8 (CD Proceedings).Google Scholar
3.Huang, C., Sugimoto, K. and Parkin, I. A., “The correspon dence between finite screw systems and projective spaces,” Proceedings of the 3rd International Workshop on Computational Kinematics CK 2005, Cassino, Italy 2005 Paper 46 (CD Proceedings).Google Scholar
4.Vertechy, R. and Parenti-Castelli, V., “An accurate and fast algorithm for the determination of the rigid body pose by three point position data,” Proceedings of the 3rd International Workshop on Computational Kinematics CK 2005, Cassino, Italy 2005 Paper 32 (CD Proceedings).Google Scholar
5.Gabriele, E., “Numerical and Experimental Determination of Industrial Type Robot Workspace,” Master Thesis (Cassino, Italy: University of Cassino, 1994) (in Italian).Google Scholar
6.Williams II, R. L., Albus, J. S. and Bostelman, R. V., “3D cable based Cartesian metrology system,” J. Robot. Syst. 21 (5), 237257 2004.CrossRefGoogle Scholar
7.Merlet, J.-P., Les Robots Paralleles. (Hermes, Paris, 1990).Google Scholar
8.Ceccarelli, M., Fundamentals of Mechanics of Robotic Mani pulation (Kluwer, Dordrecht, The Netherlands, 2004).CrossRefGoogle Scholar
9.Ceccarelli, M., Toti, M. E. and Ottaviano, E., “CATRASYS (Cassino tracking system): A new measuring system for workspace evaluation of robots,” Proceedings of the 8th International Workshop on Robotics in Alpe-Adria-Danube Region RAAD'99, Munich, Germany 1999 pp. 1924.Google Scholar
10.Ceccarelli, M., Avila Carrasco, C. and Ottaviano, E., “Error analysis and experimental tests of CATRASYS (Cassino tracking system),” Proceedings of the International Conference on Industrial Electronics, Control and Instrumentation IECON 2000, Nagoya, Japan 2000 Paper SPC11-SP2-4.Google Scholar
11.Ottaviano, E., Ceccarelli, M., Toti, M. and Avila Carrasco, C., “CaTraSys (Cassino tracking system): A wire system for experimental evaluation of robot workspace,” J. Robot. Mechatron. 14 (1), 7887 2002.CrossRefGoogle Scholar
12.Ottaviano, E., Ceccarelli, M., Sbardella, F. and Thomas, F., “Experimental determination of kinematic parameters and workspace of human arms,” Proceedings of the 11th International Workshop on Robotics in Alpe-Adria-Danube Region RAAD 2002, Balatonfured, Hungary 2002 pp. 271276.Google Scholar
13.Merlet, J.-P., “Singular configurations of parallel manipulators and Grassmann geometry,” Int. J. Robot. Res. 8 (5), 4556 1989.CrossRefGoogle Scholar
14.Hao, F. and McCarthy, J. M., “Conditions for line-based singularities in spatial platform manipulators,” J. Robot. Syst. 15 (1), 4355 1998.3.0.CO;2-S>CrossRefGoogle Scholar
15.Notash, L., “Uncertainty configurations of parallel manipulators,” Mech. Mach. Theory 33 (1/2), 123138 1998.CrossRefGoogle Scholar
16.Dandurand, A., “The rigidity of compound spatial grid,” Struct. Topol. 10, 4144 1984.Google Scholar
17.Ma, O. and Angeles, J., “Architecture singularities of parallel manipulators,” Int. J. Robot. Autom. 7 (1), 2329 1992.Google Scholar
18.Thomas, F., Ottaviano, E., Ros, L. and Ceccarelli, M., “Uncertainty model and singularities of 3-2-1 wire-based tracking systems,” In: Advances in Robot Kinematics (Kluwer, Dordrecht, The Netherlands, 2002) pp. 107116.CrossRefGoogle Scholar
19.Thomas, F., Ottaviano, E., Ros, L. and Ceccarelli, M., “Perfor mance analysis of a 3-2-1 pose estimation device,” IEEE Trans. Robot. Autom. 21 (3), 288297 Jun. 2005.CrossRefGoogle Scholar
20.Cayley, A., “A theorem in the geometry of position,” Cambridge Math. J. 2, 267271 1841.Google Scholar
21.Ebert-Uphoff, I., Lee, J. and Lipkin, H., “Characteristic tetrahedron of wrench singularities for parallel manipulators with three legs,” J. Mech. Eng. Sci. 216 (1), 8193 2002.CrossRefGoogle Scholar
22.Downing, D. M., Samuel, A. E. and Hunt, K. H., “Identification of the special configurations of the octahedral manipulator using the pure condition,” Int. J. Robot. Res. 21 (2), 147160 2002.CrossRefGoogle Scholar