Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-20T03:07:07.715Z Has data issue: false hasContentIssue false

Enlarging operational workspaces in parallel manipulators by connecting working modes. Application to the 3RSS robot

Published online by Cambridge University Press:  03 October 2012

E. Macho*
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering in Bilbao, University of the Basque Country, Alameda de Urquijo s/n, 48013, Bilbao, Spain. E-mails: oscar.altuzarra@ehu.es, charles.pinto@ehu.es, a.hernandez@ehu.es
O. Altuzarra
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering in Bilbao, University of the Basque Country, Alameda de Urquijo s/n, 48013, Bilbao, Spain. E-mails: oscar.altuzarra@ehu.es, charles.pinto@ehu.es, a.hernandez@ehu.es
C. Pinto
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering in Bilbao, University of the Basque Country, Alameda de Urquijo s/n, 48013, Bilbao, Spain. E-mails: oscar.altuzarra@ehu.es, charles.pinto@ehu.es, a.hernandez@ehu.es
A. Hernández
Affiliation:
Department of Mechanical Engineering, Faculty of Engineering in Bilbao, University of the Basque Country, Alameda de Urquijo s/n, 48013, Bilbao, Spain. E-mails: oscar.altuzarra@ehu.es, charles.pinto@ehu.es, a.hernandez@ehu.es
*
*Corresponding author. E-mail: erik.macho@ehu.es

Summary

The aim of this paper is to describe a general methodology for enlarging the workspace within which a parallel manipulator can move in a controllable way. The basis for obtaining this consists in superimposing all the singularity-free regions associated with the various different robot working modes. These can be connected because such transitions do not imply a loss of control of the manipulator. This enlarged operational workspace is associated with a certain assembly mode. In addition, the strategy to be used for path planning in this kind of workspace is presented.

Type
Articles
Copyright
Copyright © Cambridge University Press 2012 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Chablat, D. and Wenger, P., “Séparation des solutions aux modèles géométriques direct et inverse pour les manipulateurs pleinement parallèles,” Mech. Mach. Theory 36 (6), 763783 (2001).CrossRefGoogle Scholar
2.Hunt, K. H. and Primrose, E. J. F., “Assembly configurations of some in-parallel-actuated manipulators,” Mech. Mach. Theory 28 (1), 3142 (1993).CrossRefGoogle Scholar
3.Gosselin, C. M. and Angeles, J., “Singularity analysis of closed loop kinematic chains,” IEEE Trans. Robot. Autom. 6 (3), 281290 (1990).CrossRefGoogle Scholar
4.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
5.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
6.Alici, G., “Determination of singularity contours for five-bar planar parallel manipulators,” Robotica 18, 569575 (2000).CrossRefGoogle Scholar
7.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
8.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, Chemnitz, Germany (Apr. 25–26, 2006) pp. 515530.Google Scholar
9.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
10.Chablat, D. and Wenger, P., “Workspace and assembly modes in fully parallel manipulators: A descriptive study,” Adv. Robot Kinematics: Anal. Control, 117–126 (1998).Google Scholar
11.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
12.Chablat, D. and Wenger, P., “The Kinematic Analysis of a Symmetrical Three-Degree-of-Freedom Planar Parallel Manipulator,” Proceedings of the ROMANSY, Montreal, Canada (June 14–18, 2004).Google Scholar
13.Macho, E., Altuzarra, O., Pinto, C. and Hernandez, A., “Singularity Free Change Change of Assembly Mode in Parallel Manipulators. Application to the 3-RPR Planar Platform,” Proceedings of the 12th World Congress in Mechanism and Machine Science, Besançon, France (June 18–21, 2007).Google Scholar
14.Macho, E., Altuzarra, O., Pinto, C. and Hernandez, A., “Transitions between Multiple Solutions of the Direct Kinematic Problem,” Adv. Robot Kinematics, 301–310 (2008).CrossRefGoogle Scholar
15.Macho, E., Altuzarra, O., Pinto, C. and Hernandez, A., “Workspaces associated to assembly modes of the 5r planar parallel manipulator,” Robotica 26 (3), 395403 (2008).CrossRefGoogle Scholar
16.Chablat, D. and Wenger, P., “Regions of Feasible Point-to-Point Trajectories in the Cartesian Workspace of Fully-Parallel Manipulators,” Proceedings of ASME DETC, Las Vegas, USA (Sep. 12–15, 1999) pp. 15071512.Google Scholar
17.Macho, E., Altuzarra, O., Amezua, E. and Hernandez, A., “Obtaining configuration space and singularity maps for parallel manipulators,” Mech. Mach. Theory 44 (11), 21102125 (2009).CrossRefGoogle Scholar
18.Chablat, D. and Wenger, P., “Working Modes and Aspects in Fully-Parallel Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, Leuven, Belgium (May 1998) pp. 19641969.Google Scholar