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Workspaces associated to assembly modes of the 5R planar parallel manipulator

Published online by Cambridge University Press:  01 May 2008

Erik Macho
Affiliation:
Department of Mechanical Engineering, University of the Basque Country, Bilbao, 48013, Spain
Oscar Altuzarra
Affiliation:
Department of Mechanical Engineering, University of the Basque Country, Bilbao, 48013, Spain
Charles Pinto
Affiliation:
Department of Mechanical Engineering, University of the Basque Country, Bilbao, 48013, Spain
Alfonso Hernandez*
Affiliation:
Department of Mechanical Engineering, University of the Basque Country, Bilbao, 48013, Spain
*
*Corresponding author. E-mail: [email protected]

Summary

The aim of this paper is to show how it is possible to obtain for the 5R planar parallel manipulator the complete workspace associated with each solution of the direct kinematic problem or assembly mode. The workspaces associated with the different inverse kinematic problem solutions or working modes are joined and the robot moves from one to another without losing the control. An exhaustive analysis of the complete workspace and singular positions of the 5R planar parallel manipulator with two active joints is presented. Furthermore, application of these principles to path planning will be explained.

Type
Article
Copyright
Copyright © Cambridge University Press 2008

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References

1.Merlet, J. P., Parallel robots (Kluwer Academic Publishers, Norwell, MA, 2000).CrossRefGoogle Scholar
2.Gosselin, C. M. and Angeles, J., “Singularity analysis of closed loop kinematic chains,” IEEE Trans. Robot. Autom. 6 (3), 281290 (1990).CrossRefGoogle Scholar
3.Altuzarra, O., Pinto, C., Aviles, R. and Hernandez, A., “A practical procedure to analyze singular configurations in closed kinematic chains,” IEEE Trans. Robot. 20 (6), 929940 (2004).CrossRefGoogle Scholar
4.Zlatanov, D., Fenton, R. G. and Benhabib, B., “Singularity analysis of mechanisms and robots via velocity-equation model of the instantaneous kinematics,” ICRA (2), 986–991 (1994).Google Scholar
5.Merlet, J. P., Gosselin, C. M. and Mouly, N., “Workspace of planar parallel manipulators,” Mech. Mach. Theory 33 (1–2), 720 (1998).CrossRefGoogle Scholar
6.Hunt, K. H. and , E. J. F.Primrose, Assembly configurations of some in-parallel-actuated manipulators,” Mech. Mach. Theory 28 (1), 3142 (1993).CrossRefGoogle Scholar
7.MaaB, J., Kolbus, M., Budde, C., Hesselbach, J. and Schumacher, W., “Control strategies for enlarging a spatial parallel robot's workspace by change of configuration,” Proceedings of the 5th Chemnitz Parallel Kinematics Seminar (2006) 515–530.Google Scholar
8.Innocenti, C. and Parenti-Castelli, V., “Singularity free evolution from one configuration to another in serial and fully parallel manipulators,” ASME J. Mech. Des. 120, 7399 (1998).CrossRefGoogle Scholar
9.Chablat, D. and Wenger, P., “Workspace and assembly modes in fully parallel manipulators: A descriptive study,” Adv. Rob. kin: Anal. Control, 117–126 (1998).Google Scholar
10.McAree, P. R. and Daniel, R. W., An explanation of the never-spacial assembly changing motions for 3-3 parallel manipulators, Int. J. Robot. Res. 18 (6)556574 (1999).CrossRefGoogle Scholar
11.Tao, D. C. and Tall, A. S., “Analysis of a symmetrical five-bar linkage,” Prod. Engi. 23, 175177 (1952).Google Scholar
12.Alici, G., “An inverse position analysis of five-bar planar parallel manipulators,” Robotica 20, 195201 (2002).CrossRefGoogle Scholar
13.Alici, G., “Determination of singularity contours for five-bar planar parallel manipulators,” Robotica 18, 569575 (2000).CrossRefGoogle Scholar
14.Theingi, C. Li, Chen, I. M. and Angeles, J., “Singularity management of 2-DOF planar manipulator using coupled kinematics,” Int. Conf. Control, Autom. Robot. Vis. (1), 402–407 (2002).Google Scholar
15.Bajpai, A. and Roth, B., “Workspace and mobility of a closed-loop manipulator,” Int. J. Robot. Res. 5 (2), 131142 (1986).CrossRefGoogle Scholar
16.Chablat, D., Wenger, P. and Angeles, J., “The kinematic design of a 3-DOF hybrid manipulator,” Conf. Integr. Des. Manuf. Mech. Eng. 2 (2), 385392 (1998).Google Scholar
17.Gao, F., Zhang, X., Zhao, Y. and Wang, H., “A physical model of the solution space and the atlas of the reachable workspace for 2-DOF parallel plane manipulators,” Mech. Mach. Theory 31 (2), 173184 (1996).Google Scholar
18.Gao, F., Liu, X. J. and Gruver, W. A., “Performance evaluation of 2-DOF planar parallel robots,” Mech. Mach. Theory 33 (6), 661668 (1998).CrossRefGoogle Scholar
19.Liu, X. J., Wang, J. and Pritschow, G., “Kinematics, singularity and workspace of planar 5R symmetrical parallel mechanisms,” Mech. Mach. Theory 41 (2), 145169 (2006).CrossRefGoogle Scholar
20.Liu, X. J., Wang, J. and Pritschow, G., “Optimum design of the 5R symmetrical parallel manipulator with a surrounded and good-condition workspace,” Robot. Autom. Syst. 54 (3), 221233 (2006).CrossRefGoogle Scholar
21.Cervantes-Sanchez, J. J., Hernandez-Rodriguez, J. C. and Rendon-Sanchez, J. G., “On the workspace, assembly configurations and singularity curves of the RRRRR-type planar manipulator,” Mech. Mach. Theory 35 (8), 11171139 (2000).CrossRefGoogle Scholar
22.Cervantes-Sanchez, J. J., Hernandez-Rodriguez, J. C. and Angeles, J., “On the kinematic design of the 5R planar symmetric manipulator,” Mech. Mach. Theory 36 (11–12), 13011313 (2001).CrossRefGoogle Scholar