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

  • Erik Macho (a1), Oscar Altuzarra (a1), Charles Pinto (a1) and Alfonso Hernandez (a1)
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.

Copyright
COPYRIGHT: © Cambridge University Press 2008
Corresponding author
*Corresponding author. E-mail: a.hernandez@ehu.es
References
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1.Merlet, J. P., Parallel robots (Kluwer Academic Publishers, Norwell, MA, 2000).
2.Gosselin, C. M. and Angeles, J., “Singularity analysis of closed loop kinematic chains,” IEEE Trans. Robot. Autom. 6 (3), 281–290 (1990).
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), 929–940 (2004).
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).
5.Merlet, J. P., Gosselin, C. M. and Mouly, N., “Workspace of planar parallel manipulators,” Mech. Mach. Theory 33 (1–2), 7–20 (1998).
6.Hunt, K. H. and , E. J. F. “Primrose, Assembly configurations of some in-parallel-actuated manipulators,” Mech. Mach. Theory 28 (1), 31–42 (1993).
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.
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, 73–99 (1998).
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).
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)556–574 (1999).
11.Tao, D. C. and Tall, A. S., “Analysis of a symmetrical five-bar linkage,” Prod. Engi. 23, 175–177 (1952).
12.Alici, G., “An inverse position analysis of five-bar planar parallel manipulators,” Robotica 20, 195–201 (2002).
13.Alici, G., “Determination of singularity contours for five-bar planar parallel manipulators,” Robotica 18, 569–575 (2000).
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).
15.Bajpai, A. and Roth, B., “Workspace and mobility of a closed-loop manipulator,” Int. J. Robot. Res. 5 (2), 131–142 (1986).
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), 385–392 (1998).
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), 173–184 (1996).
18.Gao, F., Liu, X. J. and Gruver, W. A., “Performance evaluation of 2-DOF planar parallel robots,” Mech. Mach. Theory 33 (6), 661–668 (1998).
19.Liu, X. J., Wang, J. and Pritschow, G., “Kinematics, singularity and workspace of planar 5R symmetrical parallel mechanisms,” Mech. Mach. Theory 41 (2), 145–169 (2006).
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), 221–233 (2006).
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), 1117–1139 (2000).
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), 1301–1313 (2001).
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Robotica
  • ISSN: 0263-5747
  • EISSN: 1469-8668
  • URL: /core/journals/robotica
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