The spherical 5R parallel manipulator is a typical parallel manipulator. It can be used as a pointing device or as a minimally invasive surgical robot. This study addresses the motion/force transmission analysis and optimization of the manipulator by taking into account the motion/force transmissibility. The kinematics of the manipulator is analyzed. Several transmission indices are defined by using screw theory for the performance evaluation and dimensional synthesis. The process of determining the optimal angular parameters based on performance charts is presented. The manipulator that has a large workspace and good motion/force transmissibility is identified.
Issue Section:
Research Papers
1.
Tsai
, L. W.
, and Joshi
, S.
, 2000, “Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator
,” ASME J. Mech. Des.
0161-8458, 122
, pp. 439
–446
.2.
Huang
, T.
, Li
, M.
, Li
, Z.
, Chetwynd
, D. G.
, and Whitehouse
, D. J.
, 2004, “Optimal Kinematic Design of 2-DOF Parallel Manipulators With Well-Shaped Workspace Bounded by a Specified Conditioning Index
,” IEEE Trans. Rob. Autom.
1042-296X, 20
, pp. 538
–543
.3.
Liu
, X. J.
, 2006, “Optimal Kinematic Design of a Three Translational DoFs Parallel Manipulator
,” Robotica
0263-5747, 24
, pp. 239
–250
.4.
Zeng
, D.
, Huang
, Z.
, and Lu
, W.
, 2008, “Performance Analysis and Optimal Design of a 3-DOF 3-PRUR Parallel Mechanism
,” ASME J. Mech. Des.
0161-8458, 130
, p. 042307
.5.
Ruggiu
, M.
, 2009, “Position Analysis, Workspace, and Optimization of a 3-PPS Spatial Manipulator
,” ASME J. Mech. Des.
0161-8458, 131
, p. 051010
.6.
Kohli
, D.
, and Khonji
, A.
, 1994, “Grashof-Type Rotatability Criteria of Spherical Five-Bar Linkages
,” ASME J. Mech. Des.
0161-8458, 116
, pp. 99
–104
.7.
Ouerfelli
, M.
, and Kumar
, V.
, 1994, “Optimization of a Spherical Five-Bar Parallel Drive Linkage
,” ASME J. Mech. Des.
0161-8458, 116
, pp. 166
–173
.8.
Cervantes-Sánchez
, J. J.
, Hernández-Rodríguez
, J. C.
, and González-Galván
, E. J.
, 2004, “On the 5R Spherical, Symmetric Manipulator: Workspace and Singularity Characterization
,” Mech. Mach. Theory
0094-114X, 39
, pp. 409
–429
.9.
Zhang
, L. J.
, Niu
, Y. W.
, Li
, Y. Q.
, and Huang
, Z.
, 2006, “Analysis of the Workspace of 2-DOF Spherical 5R Parallel Manipulator
,” Proceedings of the 2006 IEEE International Conference on Robotics and Automation
, Orlando, FL.10.
Gosselin
, C.
, and Angeles
, J.
, 1989, “The Optimum Kinematic Design of a Spherical Three-Degree-of-Freedom Parallel Manipulator
,” ASME J. Mech., Transm., Autom. Des.
0738-0666, 111
, pp. 202
–207
.11.
Gosselin
, C.
, and Angeles
, J.
, 1991, “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators
,” ASME J. Mech. Des.
0161-8458, 113
, pp. 220
–226
.12.
Merlet
, J. P.
, 2006, “Jacobian, Manipulability, Condition Number, and Accuracy of Parallel Robots
,” ASME J. Mech. Des.
0161-8458, 128
, pp. 199
–206
.13.
Wang
, J.
, Liu
, X. J.
, and Wu
, C.
, 2009, “Optimal Design of a New Spatial 3-DOF Parallel Robot With Respect to a Frame-Free Index
,” Sci. China, Ser. E: Technol. Sci.
1006-9321, 52
, pp. 986
–999
.14.
Liu
, X. J.
, Guan
, L.
, and Wang
, J.
, 2007, “Kinematics and Closed Optimal Design of a Kind of PRRRP Parallel Manipulator
,” ASME J. Mech. Des.
0161-8458, 129
, pp. 558
–563
.15.
Lou
, Y. J.
, Liu
, G. F.
, Chen
, N.
, and Li
, Z. X.
, 2005, “Optimal Design of Parallel Manipulators for Maximum Effective Regular Workspace
,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
, Edmonton, Canada, pp. 1208
–1213
.16.
Yuan
, M. S. C.
, Freudenstwin
, F.
, and Woo
, L. S.
, 1971, “Kinematic Analysis of Spatial Mechanism by Means of Screw Coordinates. Part 2—Analysis of Spatial Mechanisms
,” ASME J. Eng. Ind.
0022-0817, 91
, pp. 67
–73
.17.
Ball
, R. S.
, 1990, A Treatise on the Theory of Screws
, Cambridge University Press
, Cambridge, England
.18.
Tsai
, M. J.
, and Lee
, H. W.
, 1994, “Generalized Evaluation for the Transmission Performance of Mechanisms
,” Mech. Mach. Theory
0094-114X, 29
, pp. 607
–618
.19.
Takeda
, Y.
, Funabashi
, H.
, and Ichimaru
, H.
, 1997, “Development of Spatial In-Parallel Actuated Manipulators With Six Degrees of Freedom With High Motion Transmissibility
,” JSME Int. J., Ser. C
1340-8062, 40
, pp. 299
–308
.20.
Lin
, C. C.
, and Chang
, W. T.
, 2002, “The Force Transmissivity Index of Planar Linkage Mechanisms
,” Mech. Mach. Theory
0094-114X, 37
, pp. 1465
–1485
.21.
Lin
, C. C.
, Chang
, W. T.
, and Lee
, J. J.
, 2003, “Force Transmissibility Performance of Parallel Manipulators
,” J. Rob. Syst.
0741-2223, 20
, pp. 659
–670
.22.
Chen
, C.
, and Angeles
, J.
, 2007, “Generalized Transmission Index and Transmission Quality for Spatial Linkages
,” Mech. Mach. Theory
0094-114X, 42
, pp. 1225
–1237
.23.
24.
Tao
, D. C.
, 1964, Applied Linkage Synthesis
, Addison-Wesley
, Reading, MA
, pp. 7
–12
.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.