It is difficult to manufacture parallel manipulators (PMs) with multiple revolute joint axes intersecting at one point. These types include the 3DOF spherical parallel manipulators (SPMs), the 4DOF 3R1T and 2R2T PMs, the 5DOF 3R2T PMs, etc. PMs with this problem are hard to achieve the expected mobility. In this paper, a 3-RPS cubic PM is studied, which has three rotational freedoms and is without those intersecting axes. The motion property of this PM will not change when the manufacturing errors exist. In order to show its orientation capability, the orientation workspace of this PM is analyzed. More discussions about the differences between the traditional SPMs and this PM are proposed. The results show that compared with the traditional SPMs, this 3-RPS cubic PM can also achieve three rotational motions with an enough orientation capability for applications and it has the advantage of easy fabrication.

1.
Hunt
,
K. H.
, 1983, “
Structural Kinematics of In-Parallel-Actuated Robot-Arms
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
105
(
4
), pp.
705
712
.
2.
Cox
,
D.
, 1981, “
The Dynamic Modeling and Command Signal Formulation for Parallel Multi-Parameter Robotic Devices
,” Ph.D. thesis, University of Florida, Gainesville, FL.
3.
Gosselin
,
C. M.
, and
Angeles
,
J.
, 1989, “
The Optimum Kinemaic Design of a Spherical Three-Degree-of-Freedom Parallel Manipulator
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
111
(
2
), pp.
202
207
.
4.
Di Gregorio
,
R.
, 2001, “
A New Parallel Wrist Employing Just Revolute Pairs: The 3-RUU Wrist
,”
Robotica
0263-5747,
19
(
3
), pp.
305
309
.
5.
Di Gregorio
,
R.
, 2004, “
The 3-RRS Wrist: A New, Simple and Non-Overconstrained Spherical Parallel Manipulator
,”
ASME J. Mech. Des.
0161-8458,
126
(
5
), pp.
850
855
.
6.
Li
,
Q. C.
, and
Huang
,
Z.
, 2003, “
A Family of Symmetrical Lower-Mobility Parallel Mechanism With Spherical and Parallel Subchains
,”
J. Robot. Syst.
,
20
(
6
), pp.
297
305
.
7.
Huang
,
Z.
, and
Li
,
Q. C.
, 2003, “
Type Synthesis of Symmetrical Lower Mobility Parallel Mechanisms Using the Constraint Synthesis Method
,”
Int. J. Robot. Res.
0278-3649,
22
(
1
), pp.
59
79
.
8.
Zhang
,
K.
,
Fang
,
Y.
,
Fang
,
H.
, and
Dai
,
J. S.
, 2010, “
Geometry and Constraint Analysis of the Three-Spherical Kinematic Chain Based Parallel Mechanism
,”
ASME J. Mech. Rob.
1942-4302,
2
(
3
), p.
031014
.
9.
Liu
,
X. -J.
,
Wang
,
J. S.
,
Gao
,
F.
, and
Wang
,
L. P.
, 2001, “
On the Analysis of a New Spatial Three Degrees of Freedom Parallel Manipulator
,”
IEEE Trans. Robot. Autom.
,
17
(
6
), pp.
959
968
.
10.
Liu
,
X. J.
,
Wang
,
J. S.
,
Wu
,
C.
, and
Kim
,
J.
, 2009, “
A New Family of Spatial 3-DOF Parallel Manipulators With Two Translational and One Rotational DOFs
,”
Robotica
0263-5747,
27
(
02
), pp.
241
247
.
11.
Clavel
,
R.
, 1988, “
Delta, a Fast Robot With Parallel Geometry
,”
Proceeding of 18th International Symposium on Industrial Robots
, Switzerland, pp.
91
100
.
12.
Tsai
,
L. W.
, 1996, “
Kinematics of a Three-DoF Platform with Extensible Limbs
,”
Recent Advances in Robot Kinematics
,
J.
Lenarcic
and
V.
Parenti-Castelli
, eds.,
Kluwer Academic
,
Dordrecht
, pp.
401
410
.
13.
Huang
,
Z.
,
Fang
,
Y. F.
, and
Kong
,
L. F.
, 1997,
Mechanism Theory and Control of Parallel Manipulators
,
China Machine Press
,
Beijing
.
14.
Kong
,
X.
, and
Gosselin
,
C. M.
, 2004, “
Type Synthesis of 3-DOF Translational Parallel Manipulators Based on Screw Theory
,”
ASME J. Mech. Des.
0161-8458,
126
(
1
), pp.
83
92
.
15.
Zlatanov
,
D.
, and
Gosselin
,
C. M.
, 2001, “
A New Parallel Architecture with Four Degrees of Freedom
,”
Proceedings of the Second Workshop on Computational Kinematics
, Seoul, Korea, May 19–22.
16.
Huang
,
Z.
, and
Ge
,
Q. J.
, 2006, “
A Simple Method for Mobility Analysis Using Reciprocal Screws
,”
ASME
Paper No. DETC2006-99677.
17.
Zhao
,
T. S.
, and
Huang
,
Z.
, 2000, “
A Novel Spatial Four-DoF Parallel Mechanism and Its Position Analysis
,”
J. Mech. Sci. Technol.
1738-494X,
19
(
6
), pp.
927
929
.
18.
Kong
,
X.
, and
Gosselin
,
C. M.
, 2004, “
Type Synthesis of 3T1R 4-DOF Parallel Manipulators Based on Screw Theory
,”
IEEE Trans. Robot. Autom.
,
20
(
2
), pp.
181
190
.
19.
Fang
,
Y.
, and
Tsai
,
L. W.
, 2002, “
Structure Synthesis of a Class of 4-DOF and 5-DOF Parallel Manipulators With Identical Limb Structures
,”
Int. J. Robot. Res.
0278-3649,
21
(
9
), pp.
799
810
.
20.
Huang
,
Z.
, and
Li
,
Q. C.
, 2002, “
General Methodology for Type Synthesis of Lower-Mobility Symmetrical Parallel Manipulators and Several Novel Manipulators
,”
Int. J. Robot. Res.
0278-3649,
21
(
2
), pp.
131
145
.
21.
Li
,
Q. C.
,
Huang
,
Z.
, and
Hervé
,
J. M.
, 2004, “
Type Synthesis of 3R2T 5-DoF Parallel Mechanisms Using the Lie Group of Displacements
,”
IEEE Trans. Robot. Autom.
,
20
(
2
), pp.
173
180
.
22.
Jin
,
Q.
,
Yang
,
T. L.
, and
Liu
,
A. X.
, 2001, “
Structure Synthesis of a Class of 5-DOF Parallel Robot Mechanisms Based on Single Opened-Chain Units
,”
ASME
Paper No. DETC2001/DAC-21153.
23.
Carretero
,
J. A.
,
Podhorodeski
,
R. P.
,
Nahon
,
M. A.
, and
Gosselin
,
C. M.
, 2000, “
Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator
,”
ASME J. Mech. Des.
0161-8458,
122
(
1
), pp.
17
24
.
24.
Kong
,
X.
, and
Gosselin
,
C. M.
, 2002,
Advances in Robot Kinematics—Theory and Applications
,
J.
Lenarcic
and
F.
Thomas
, eds.,
Kluwer Academic
,
Boston
, pp.
411
420
.
25.
Altuzarra
,
O.
,
Loizaga
,
M.
, and
Petuya
,
V.
, 2007, “
Partially Decoupled Parallel Manipulators Based on Multiple Platforms
,”
Proceedings of the IFToMM World Congress
, France.
26.
Huda
,
S.
,
Takeda
,
Y.
, and
Hanagasaki
,
S.
, 2008, “
Kinematic Design of 3-URU Pure Rotational Parallel Mechanism to Perform Precise Motion Within a Large Workspace
,”
Proceedings of the Second International Workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators
, Montpellier, France, Sept. 21–22, pp.
49
56
.
27.
Huang
,
Z.
, and
Fang
,
Y. F.
, 1995, “
Motion Characteristics and Rotational Axis Analysis of Three DOF Parallel Robot Mechanisms
,”
IEEE International Conference on Systems, Man and Cybernetics
, Vol.
1
, pp.
67
71
.
28.
Huang
,
Z.
, and
Fang
,
Y. F.
, 1996, “
Kinematic Characteristics Analysis of 3-DOF In-Parallel Actuated Pyramid Mechanisms
,”
Mech. Mach. Theory
0094-114X,
31
(
8
), pp.
1009
1018
.
29.
Jiao
,
Y. H.
, 1999, “
Study on the Workspace and Computer Aided Design of 3-DOF 3-RPS In-Parallel Actuated Pyramid Mechanism
,” MS thesis, Yanshan University, China.
30.
Huang
,
Z.
, and
Wang
,
J.
, 2001, “
Identification of Principal Screws of 3-DOF Parallel Manipulators by Quadric Degeneration
,”
Mech. Mach. Theory
0094-114X,
36
(
8
), pp.
893
911
.
31.
Luo
,
Y.
, 2002, “
Study on the Kadang Movement and Computer Simulation of 3-DOF 3-RPS In-Parallel Actuated Pyramid Mechanism
,” MS thesis, Yanshan University, China.
32.
Dai
,
J. S.
,
Huang
,
Z.
, and
Lipkin
,
H.
, 2006, “
Mobility of Over-Constrained Parallel Mechanisms, Special Supplement on Spatial Mechanisms and Robot Manipulators
,”
ASME J. Mech. Des.
0161-8458,
128
(
1
), pp.
220
229
.
33.
Merlet
,
J. P.
, 1989, “
Singular Configurations of Parallel Manipulator and Grassmann Geometry
,”
Int. J. Robot. Res.
0278-3649,
8
(
5
), pp.
45
56
.
34.
Dai
,
J. S.
,
Holland
,
N.
, and
Kerr
,
D. R.
, 1995, “
Finite Twist Mapping and Its Application to Serial Manipulators With Revolute Joints
,”
J. Mech. Eng. Sci.
0022-2542,
209
(
43
), pp.
263
271
.
35.
Bonev
,
I. A.
, and
Ryu
,
J.
, 2001, “
A Mew Approach to Orientation Workspace Analysis of 6-DOF Parallel Manipulators
,”
Mech. Mach. Theory
0094-114X,
36
(
1
), pp.
15
28
.
36.
Bonev
,
I. A.
,
Zlatanov
,
D.
, and
Gosselin
,
C. M.
, 2002, “
Advantages of the Modified Euler Angles in the Design and Control of PKMs
,”
Parallel Kinematic Machines International Conference
, Chemnitz, Germany, Apr. 23–25, pp.
171
188
.
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