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Constraint and Singularity Analysis of the Exechon

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Abstract:

This paper deals with the constraint and the singularity analysis of the Exechon. Using the screw theory, the constraint and actuation wrenches acting on the moving platform are analyzed. The motion pattern of the Exechon is characterized based on a representation of the constraint wrenches in the projective space. A wrench graph representing the constraint and actuation wrench systems in the projective space is obtained. Based on this wrench graph, a superbracket of the Exechon is formulated. Finally, this superbracket is explored to provide the geometric conditions for the parallel singularities of the Exechon.

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141-150

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March 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

[1] Ball., R. S., 1900. A Treatise On the Theory of Screws. Cambridge University Press, Cambridge, CA.

Google Scholar

[2] Hunt, K. H., 1978. Kinematic Geometry of Mechanisms. Clarendon Press, Oxford.

Google Scholar

[3] Kong, X., and Gosselin, C., 2007. Type Synthesis of Parallel Mechanisms, Vol. 33. Springer, Heidelberg.

Google Scholar

[4] Ling, S. H., and Huang, M. Z., 1995. Kinestatic analysis of general parallel manipulators,. ASME Journal of Mechanical Design, 117(4), p.601–606.

DOI: 10.1115/1.2826727

Google Scholar

[5] Joshi, S. A., and Tsai, L. W., 2002. Jacobian Analysis of Limited-DOF Parallel Manipulators,. ASME Journal of Mechanical Design, 124(2), June, p.254–258.

DOI: 10.1115/1.1469549

Google Scholar

[6] Ben-Horin, P., and Shoham, M., 2006. Singularity Analysis of a Class of Parallel Robots Based on Grassmann–Cayley Algebra,. Mechanism and Machine Theory, 41(8), p.958– 970.

DOI: 10.1016/j.mechmachtheory.2006.03.008

Google Scholar

[7] Kanaan, D., Wenger, P., Caro, S., and Chablat, D., 2009. Singularity Analysis of Lower-Mobility Parallel Manipulators using Grassmann–Cayley Algebra,. IEEE Transactions on Robotics, 25, p.995–1004.

DOI: 10.1109/tro.2009.2017132

Google Scholar

[8] Amine, S., Caro, S., Wenger, P. and Kanaan, D., Singularity Analysis of the H4 Robot using Grassmann-Cayley Algebra", Robotica, doi: 10. 1017/S0263574711001330. hal-00642230.

DOI: 10.1017/s0263574711001330

Google Scholar

[9] Amine, S., Tale-Masouleh, M., Caro, S., Wenger, P., and Gosselin, C., Singularity Conditions of 3T1R Parallel Manipulators with Identical Limb Structures, ASME Journal of Mechanisms and Robotics, doi: 10. 1115/1. 4005336. hal-00642238.

DOI: 10.1115/1.4005336

Google Scholar

[10] Merlet, J. P., 1989. Singular Configurations of Parallel Manipulators and Grassmann Geometry,. The International Journal of Robotics Research, 8(5), p.45–56.

DOI: 10.1177/027836498900800504

Google Scholar

[12] Gosselin, C., and Angeles, J., 1990. Singularity Analysis of Closed-Loop Kinematic Chains,. IEEE Transactions on Robotics and Automation, 6(3), p.281–290.

DOI: 10.1109/70.56660

Google Scholar

[13] Zlatanov, D., Fenton, R. G., and Benhabib, B., 1994. Singularity Analysis of Mechanisms and Robots Via a Velocity-Equation Model of the Instantaneous Kinematics,. In IEEE International Conference on Robotics and Automation, p.986–991.

DOI: 10.1109/robot.1994.351325

Google Scholar

[14] Fang, Y., and Tsai, L. W., 2002. Structure Synthesis of a Class of 4-DoF and 5-DoF Parallel Manipulators with Identical Limb Structures,. The International Journal of Robotics Research, 21(9), p.799–810.

DOI: 10.1177/0278364902021009314

Google Scholar

[15] Conconi, M., and Carricato, M., 2009. A New Assessment of Singularities of Parallel Kinematic Chains,. IEEE Transactions on Robotics, 25(4), p.757–770.

DOI: 10.1109/tro.2009.2020353

Google Scholar

[16] Neumann, K., 2008. Adaptive in-jig high load Exechon machining & assembly technology,. In SAE International, 08AMT-0044.

DOI: 10.4271/2008-01-2308

Google Scholar

[17] White, N. L., 2005. Handbook of Geometric Computing, Vol. VIII. Springer, Berlin Heidelberg, ch. Grassmann-Cayley Algebra and Robotics Applications, p.629–656.

DOI: 10.1007/3-540-28247-5_19

Google Scholar

[18] McMillan, T., 1990. Invariants of Antisymmetric Tensors,. PhD Thesis, University of Florida, Gainesville, Florida, USA.

Google Scholar

[19] Bonnemains, T., Chanal, H., Bouzgarrou, C., and Ray, P., 2008. Definition of a new static model of Parallel Kinematic Machines: highlighting of overconstraint influence,. In IEEE/RSJ International Conference on Intelligent Robots and Systems.

DOI: 10.1109/iros.2008.4650957

Google Scholar

[20] Zoppi, M., Zlatanov, D., and Molfino, R., 2010. Kinematics Analysis of the Exechon Tripod,. In ASME International Design Engineering Technical Conferences, no. 28668 in DETC2010.

DOI: 10.1115/detc2010-28668

Google Scholar