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.

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
.
24.
Tao
,
D. C.
, 1964,
Applied Linkage Synthesis
,
Addison-Wesley
,
Reading, MA
, pp.
7
12
.
You do not currently have access to this content.