The increasing use of parallel cable-driven mechanisms calls for a better understanding of their behavior and highly efficient algorithms to attenuate their drawbacks at the design stage. One of these drawbacks is the high probability of mechanical interferences between the moving parts of the mechanism. In this paper, the phenomenon is described under the assumption that a cable is a line segment in space. When a mechanical contact occurs between two cables or between a cable and an edge of the end effector, these entities necessarily lie in the same plane, and then the three-dimensional problem becomes two-dimensional. This fact is used to simplify the equations, and leads to exhaustive descriptions of the associated interference loci in the constant-orientation workspace of a cable-driven mechanism. These results provide a fast method to graphically represent all interference regions in the manipulator workspace, given its geometry and the orientation of its end effector.
1.
Alikhani
, A.
, Behzadipour
, S.
, Sadough Vanini
, S. A.
, and Alasty
, A.
, 2009, “Workspace Analysis of a Three DOF Cable-Driven Mechanism
,” ASME J. Mech. Rob.
1942-4302, 1
(4
), p. 041005
.2.
Roberts
, R. G.
, Graham
, T.
, and Lippitt
, T.
, 1998, “On the Inverse Kinematics, Statics, and Fault Tolerance of Cable-Suspended Robots
,” J. Rob. Syst.
0741-2223, 15
(10
), pp. 581
–597
.3.
Barrette
, G.
, and Gosselin
, C. M.
, 2005, “Determination of the Dynamic Workspace of Cable-Driven Planar Parallel Mechanisms
,” ASME J. Mech. Des.
0161-8458, 127
(2
), pp. 242
–248
.4.
Bouchard
, S.
, Gosselin
, C. M.
, and Moore
, B.
, 2010, “On the Ability of a Cable-Driven Robot to Generate a Prescribed Set of Wrenches
,” ASME J. Mech. Rob.
1942-4302, 2
(1
), p. 011010
.5.
Yin
, X.
, and Bowling
, A. P.
, 2006, “Dynamic Performance Limitations Due to Yielding in Cable-Driven Robotic Manipulators
,” ASME J. Mech. Des.
0161-8458, 128
(1
), pp. 311
–318
.6.
Gouttefarde
, M.
, 2005, “Analyse de l’Espace des Poses Polyvalentes des Mécanismes Parallèles entraînés par Câbles
,” Ph.D. thesis, Université Laval, Québec, Canada.7.
Gouttefarde
, M.
, and Gosselin
, C. M.
, 2006, “Analysis of the Wrench-Closure Workspace of Planar Parallel Cable-Driven Mechanisms
,” IEEE Trans. Rob. Autom.
1042-296X, 22
(3
), pp. 434
–445
.8.
Stump
, E.
, and Kumar
, V.
, 2006, “Workspaces of Cable-Actuated Parallel Manipulators
,” ASME J. Mech. Des.
0161-8458, 128
(1
), pp. 159
–167
.9.
Gouttefarde
, M.
, Merlet
, J. -P.
, and Daney
, D.
, 2007, “Wrench-Feasible Workspace of Planar Parallel Cable-Driven Mechanisms
,” Proceedings of the IEEE International Conference on Robotics and Automation
, Roma, Italy, Apr. 10–14, pp. 1492
–1497
.10.
Ghasemi
, A.
, Eghtesad
, M.
, and Farid
, M.
, 2009, “Workspace Analysis for Planar and Spatial Redundant Cable Robots
,” ASME J. Mech. Rob.
1942-4302, 1
(4
), p. 044502
.11.
Kawamura
, S.
, Ida
, M.
, Wada
, T.
, and Wu
, J. -L.
, 1995, “Development of a Virtual Sports Machine Using a Wire Drive System: A Trial of Virtual Tennis
,” Proceedings of the IEEE International Conference on Intelligent Robots and Systems
, Pittsburgh, PA, Aug. 5–9, pp. 111
–116
.12.
Williams
, R. L.
, II, 1999, “Planar Cable-Suspended Haptic Interface: Design for Wrench Exertion
,” ASME
Paper No. DETC99/DAC-8639.13.
Kawamura
, S.
, Kino
, H.
, and Won
, C.
, 2000, “High-Speed Manipulation by Using Parallel Wire-Driven Robots
,” Robotica
0263-5747, 18
(1
), pp. 13
–21
.14.
Usher
, K.
, Winstanley
, G.
, Corke
, P.
, and Stauffacher
, D.
, 2005, “Air Vehicle Simulator: An Application for a Cable Array Robot
,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA05)
, Barcelona, Spain, Apr. 18–22, pp. 2241
–2246
.15.
Bouchard
, S.
, and Gosselin
, C. M.
, 2007, “Workspace Optimization of a Very Large Cable-Driven Parallel Mechanism for a Radiotelescope Application
,” Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE 2007)
, Las Vegas, NV, Sept. 4–7, pp. 963
–970
.16.
Perreault
, S.
, and Gosselin
, C. M.
, 2008, “Cable-Driven Parallel Mechanisms: Application to a Locomotion Interface
,” ASME J. Mech. Des.
0161-8458, 130
(10
), p. 102301
.17.
Otis
, M.
, Nguyen-Dang
, T. -L.
, Laliberté
, T.
, Ouellet
, D.
, Laurendeau
, D.
, and Gosselin
, C. M.
, 2009, “Cable Tension Control and Analysis of Reel Transparency for 6-DOF Haptic Foot Platform on a Cable-Driven Locomotion Interface
,” International Journal of Electrical, Computer, and Systems Engineering
2070-3813, 3
(1
), pp. 16
–29
.18.
Otis
, M. J.-D.
, Perreault
, S.
, Nguyen-Dang
, T. -L.
, Lambert
, P.
, Gouttefarde
, M.
, Laurendeau
, D.
, and Gosselin
, C. M.
, 2009, “Determination and Management of Cable Interferences Between Two 6-DOF Foot Platforms in a Cable-Driven Locomotion Interface
,” IEEE Trans. Syst. Man Cybern., Part A. Syst. Humans
1083-4427, 39
(3
), pp. 528
–544
.19.
Behzadipour
, S.
, and Khajepour
, A.
, 2006, “Stiffness of Cable-Based Parallel Manipulators With Application to Stability Analysis
,” ASME J. Mech. Des.
0161-8458, 128
(1
), pp. 303
–310
.20.
Kawamura
, S.
, and Ito
, K.
, 1993, “A New Type of Master for Teleoperation Using A Radial Wire Drive System
,” Proceedings of the IEEE International Conference on Intelligent Robots and Systems
, Yokohama, Japan, Jul. 26–30, pp. 55
–60
.21.
Wischnitzer
, Y.
, Shvalb
, N.
, and Shoham
, M.
, 2008, “Wire-Driven Parallel Robot: Permitting Collisions Between Wires
,” Int. J. Robot. Res.
0278-3649, 27
(9
), pp. 1007
–1026
.22.
Lafourcade
, P.
, 2004, “Étude des manipulateurs parallèles à câbles, conception d’une suspension active pour soufflerie
,” Ph.D. thesis, Ecole Nationale Supérieur de l’Aéronautique et de l’Espace, Toulouse, France.23.
Verhoeven
, R.
, 2004, “Analysis of the Workspace of Tendon-Based Stewart Platforms
,” Ph.D. thesis, University of Duisburg-Essen, Duisburg, Germany.24.
Maeda
, K.
, Tadokoro
, S.
, Takamori
, T.
, Hiller
, M.
, and Verhoeven
, R.
, 1999, “On Design of a Redundant Wire-Driven Parallel Robot WARP Manipulator
,” Proceedings of the IEEE International Conference on Robotics and Automation
, Detroit, MI, May 10–15, Vol. 2
, pp. 895
–900
.25.
Bouchard
, S.
, 2008, “Géométrie des Robots Parallèles entraînés par des Câbles
,” Ph.D. thesis, Université Laval, Québec, Canada.26.
Andrade-Cetto
, J.
, and Thomas
, F.
, 2008, “A Wire-Based Active Tracker
,” IEEE Trans. Rob. Autom.
1042-296X, 24
(3
), pp. 642
–651
.27.
Merlet
, J. -P.
, 2004, “Analysis of the Influence of Wires Interference on the Workspace of Wire Robots
,” On Advances in Robot Kinematics
, Kluwer
, Dordrecht, The Netherlands
, pp. 211
–218
.28.
Pott
, A.
, Franitza
, D.
, Hiller
, M.
, 2004, “Orientation Workspace Verification for Parallel Kinematic Machines With Constant Leg Length
,” Proceedings of the Mechatronics and Robotics
, Aachen, Germany, Sept. 13–15, pp. 984
–989
.29.
Ketchel
, J. S.
, and Larochelle
, P. M.
, 2008, “Self-Collision Detection in Spatial Closed Chains
,” ASME J. Mech. Des.
0161-8458, 130
(9
), p. 092305
.30.
Merlet
, J. -P.
, and Daney
, D.
, 2006, “Legs Interference Checking of Parallel Robots Over a Given Workspace or Trajectory
,” Proceedings of the IEEE International Conference on Robotics and Automation
, Orlando, FL, May 15–19, pp. 757
–762
.31.
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