This paper presents a metamorphic parallel mechanism (MPM) which can switch its motion between pure translation (3T) and pure rotation (3R). This feature stems from a reconfigurable Hooke (rT) joint of which one of the rotation axes can be altered freely. More than that, based on the reconfiguration of the rT joint, workspace of both 3T and 3R motion can be tunable, and the rotation center of the 3R motion can be controlled along a line perpendicular to the base plane. Kinematics analysis is presented based on the geometric constraints of the parallel mechanism covering both 3T and 3R motion. Following this, screw theory based motion/force transmission equations are obtained, and their characteristics are investigated and linked to the singularity analysis using Jacobian matrix. Motion/force transmission indices can be used to optimize basic design parameters of the MPM. This provides reference of this mechanism for potential applications requiring 3T and 3R motion.

References

References
1.
Stewart
,
D.
,
1965
, “
A Platform With Six Degrees of Freedom
,”
Proc. Inst. Mech. Eng.
,
180
(
15
), pp.
371
386
.
2.
Gan
,
D. M.
,
Liao
,
Q. Z.
,
Dai
,
J. S.
,
Wei
,
S. M.
, and
Seneviratne
,
L. D.
,
2009
, “
Forward Displacement Analysis of a New 1CCC-5SPS Parallel Mechanism Using Grobner Theory
,”
Proc. Inst. Mech. Eng., Part C
,
223
(
C5
), pp.
1233
1241
.
3.
Pierrot
,
F.
,
Fournier
,
A.
, and
Dauchez
,
P.
,
1992
, “
Toward a Fully Parallel 6-DOF Robot for High-Speed Applications
,”
Int. J. Rob. Autom.
,
7
(
1
), pp.
15
22
.
4.
Huang
,
T.
,
Wang
,
J. S.
, and
Whitehouse
,
D. J.
,
1999
, “
Closed Form Solution to the Workspace of Hexapod-Based Virtual Axis Machine Tools
,”
ASME J. Mech. Des.
,
121
(
1
), pp.
26
31
.
5.
Dai
,
J. S.
, and
Kerr
,
D. R.
,
2000
, “
Six-Component Contact Force Measurement Device Based on the Stewart Platform
,”
Proc. Inst. Mech. Eng., Part C
,
214
(
5
), pp.
687
697
.
6.
Brandt
,
G.
,
Zimolong
,
A.
,
Carrat
,
L.
,
Merloz
,
P.
,
Staudte
,
H. W.
,
Lavallee
,
S.
,
Radermacher
,
K.
, and
Rau
,
G.
,
1999
, “
CRIGOS: A Compact Robot for Image-Guided Orthopedic Surgery
,”
IEEE Trans. Inf. Technol. Biomed.
,
3
(
4
), pp.
252
260
.
7.
Di Gregorio
,
R.
, and
Parenti-Castelli
,
V.
,
1998
, “
A Translational 3-DOF Parallel Manipulator
,”
Advances in Robot Kinematics: Analysis and Control
,
Kluwer
,
Norwell, MA
, pp.
49
58
.
8.
Tsai
,
L. W.
, and
Sameer
,
J.
,
2000
, “
Kinematics and Optimization of a Spatial 3-UPU Parallel Manipulator
,”
ASME J. Mech. Des.
,
122
(
4
), pp.
439
446
.
9.
Bonev
,
I.
,
2001
, “
Delta Parallel Robot—The Story of Success
,” http://www.parallemic.org/Reviews/Review002.html
10.
Di Gregorio
,
R.
,
2004
, “
Statics and Singularity Loci of the 3-UPU Wrist
,”
IEEE Trans. Rob.
,
20
(
4
), pp.
630
635
.
11.
Bonev
,
I. A.
, and
Gosselin
,
C. M.
,
2006
, “
Analytical Determination of the Workspace of Symmetrical Spherical Parallel Mechanisms
,”
IEEE Trans. Rob.
,
22
(
5
), pp.
1011
1017
.
12.
Patanè
,
F.
, and
Cappa
,
P.
,
2011
, “
A 3-DOF Parallel Robot With Spherical Motion for the Rehabilitation and Evaluation of Balance Performance
,”
IEEE Trans. Neural Syst. Rehabil. Eng.
,
19
(
2
), pp.
157
166
.
13.
Gan
,
D. M.
,
Seneviratne
,
L. D.
, and
Dias
,
J.
,
2012
, “
Design and Analytical Kinematics of a Robot Wrist Based on a Parallel Mechanism
,”
World Automation Congress (WAC)
,
Puerto Vallarta, Mexico
, June 24–28, pp. 1–8.
14.
Fanghella
,
P.
,
Galletti
,
C.
, and
Giannotti
,
E.
,
2006
, “
Parallel Robots That Change Their Group of Motion
,”
Advances in Robot Kinematics
,
Springer
, Amsterdam, pp.
49
56
.
15.
Kong
,
X. W.
,
Gosselin
,
C. M.
, and
Richard
,
P. L.
,
2007
, “
Type Synthesis of Parallel Mechanisms With Multiple Operation Modes
,”
ASME J. Mech. Des.
,
129
(
6
), pp.
595
601
.
16.
Gan
,
D. M.
,
Dai
,
J. S.
, and
Caldwell
,
D. G.
,
2011
, “
Constraint-Based Limb Synthesis and Mobility-Change Aimed Mechanism Construction
,”
ASME J. Mech. Des.
,
133
(
5
), p.
051001
.
17.
Zhang
,
K. T.
,
Dai
,
J. S.
, and
Fang
,
Y. F.
,
2010
, “
Topology and Constraint Analysis of Phase Change in the Metamorphic Chain and Its Evolved Mechanism
,”
ASME J. Mech. Des.
,
132
(
12
), p.
121001
.
18.
Gan
,
D. M.
,
Dai
,
J. S.
, and
Liao
,
Q. Z.
,
2009
, “
Mobility Change in Two Types of Metamorphic Parallel Mechanisms
,”
ASME J. Mech. Rob.
,
1
(
4
), p.
041007
.
19.
Gan
,
D. M.
,
Dai
,
J. S.
, and
Liao
,
Q. Z.
,
2010
, “
Constraint Analysis on Mobility Change of a Novel Metamorphic Parallel Mechanism
,”
Mech. Mach. Theory
,
45
(
12
), pp.
1864
1876
.
20.
Zhang
,
K. T.
,
Dai
,
J. S.
, and
Fang
,
Y. F.
,
2012
, “
Geometric Constraint and Mobility Variation of Two 3SvPSv Metamorphic Parallel Mechanisms
,”
ASME J. Mech. Des.
,
135
(
1
), p.
11001
.
21.
Palpacelli
,
M. C.
,
Carbonari
,
L.
,
Palmieri
,
G.
, and
Callegari
,
M.
,
2014
, “
Analysis and Design of a Reconfigurable 3-DOF Parallel Manipulator for Multimodal Tasks
,”
IEEE/ASME Trans. Mechatronics
,
20
(
4
), pp.
1975
1985
.
22.
Zlatanov
,
D.
,
Bonev
,
I. A.
, and
Gosselin
,
C. M.
,
2002
, “
Constraint Singularities as C-Space Singularities
,”
Advances in Robot Kinematics: Theory and Applications
,
J.
Lenarcic
and
F.
Thomas
, eds.,
Kluwer Academic Publishers
, Norwall, MA, pp.
183
192
.
23.
Kong
,
X.
, and
Gosselin
,
C. M.
,
2007
,
Type Synthesis of Parallel Mechanisms
,
Springer-Verlag
,
Heidelberg
, Germany.
24.
Gan
,
D. M.
,
Dai
,
J. S.
,
Dias
,
J.
, and
Seneviratne
,
L. D.
,
2013
, “
Unified Kinematics and Singularity Analysis of a Metamorphic Parallel Mechanism With Bifurcated Motion
,”
ASME J. Mech. Rob.
,
5
(
3
), p.
031004
.
25.
Gan
,
D. M.
,
Dai
,
J. S.
,
Dias
,
J.
, and
Seneviratne
,
L. D.
,
2013
, “
Reconfigurability and Unified Kinematics Modeling of a 3rTPS Metamorphic Parallel Mechanism With Perpendicular Constraint Screws
,”
Rob. Comput. Integr. Manuf.
,
29
(
4
), pp.
121
128
.
26.
Liu
,
H. T.
,
Huang
,
T.
,
Kecskemethy
,
A.
, and
Chetwynd
,
D. G.
,
2014
, “
A Generalized Approach for Computing the Transmission Index of Parallel Mechanisms
,”
Mech. Mach. Theory
,
74
, pp.
245
256
.
27.
Wang
,
J.
,
Wu
,
C.
, and
Liu
,
X.-J.
,
2010
, “
Performance Evaluation of Parallel Robots: Motion/Force Transmissibility and Its Index
,”
Mech. Mach. Theory
,
45
(
10
), pp.
1462
1476
.
28.
Liu
,
X. J.
,
Wu
,
C.
, and
Wang
,
J. S.
,
2012
, “
A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators
,”
ASME J. Mech. Rob.
,
4
(
4
), p.
041001
.
29.
Huang
,
T.
,
Wang
,
M. X.
,
Yang
,
S. F.
,
Sun
,
T.
,
Chetwynd
,
D. G.
, and
Xie
,
F. G.
,
2014
, “
Force/Motion Transmissibility Analysis of Six Degree of Freedom Parallel Mechanisms
,”
ASME J. Mech. Rob.
,
6
(
3
), p.
031010
.
30.
Gan
,
D. M.
,
Dai
,
J. S.
,
Dias
,
J.
, and
Seneviratne
,
L. D.
,
2015
, “
Joint Force Decomposition and Variation in Unified Inverse Dynamics Analysis of a Metamorphic Parallel Mechanism
,”
Meccanica
, (in press).
31.
Dai
,
J. S.
,
Huang
,
Z.
, and
Lipkin
,
H.
,
2006
, “
Mobility of Overconstrained Parallel Mechanisms
,”
ASME J. Mech. Des.
,
128
(
1
), pp.
220
229
.
32.
Bottema
,
O.
, and
Roth
,
B.
,
1979
,
Theoretical Kinematics
,
North-Holland
,
New York
, pp.
9
11
.
33.
Dai
,
J. S.
, and
Rees
,
J. J.
,
2001
, “
Interrelationship Between Screw Systems and Corresponding Reciprocal Systems and Applications
,”
Mech. Mach. Theory
,
36
(
5
), pp.
633
651
.
34.
Chen
,
C.
, and
Angeles
,
J.
,
2007
, “
Generalized Transmission Index and Transmission Quality for Spatial Linkages
,”
Mech. Mach. Theory
,
42
(
9
), pp.
1225
1237
.
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