Utilizing the virtual work principle, this paper presents a method for the inverse dynamic formulation of the 3-degree-of-freedom (DOF) modules of the well-known Tricept robot and a newly invented hybrid robot named TriVariant. The TriVariant is a modified version of the Tricept, achieved by integrating one of the three active limbs into the passive one. Both local and global conditioning indices are proposed for the dynamic performance evaluation and comparison of these two robots. These indices are designed on the basis of the maximum actuated joint force required for producing a unit acceleration of the mobile platform. For a given set of geometrical and inertial parameters, it has been shown that the TriVariant has a similar overall dynamic performance compared with that of the Tricept.

Issue Section:
Research Papers
Keywords:
design engineering, couplings, manipulator dynamics, manipulator kinematics
Topics:
Equations of motion, Performance evaluation, Robots, Kinematic analysis
1.
Weck
,
M.
, and
Staimer
,
D.
, 2002, “
Parallel Kinematic Machine Tools - Current States and Future Potentials
,”
CIRP Ann.
0007-8506,
51
(
2
), pp.
671
–
683
.
Crossref
Search ADS
 
2.
Jovane
,
F.
,
Negri
,
S. P.
, and
Fassi
,
I.
, et al., 2002, “
Design Issue for Reconfigurable PKMs
,”
Proc. of the 3rd Chemnitz Parallel Kinematics Seminar
, Zwickau, Germany, pp.
17
–
47
.
3.
Wurst
,
K. H.
, and
Peting
,
U.
, 2002, “
PKM Concept for Reconfigurable Machine Tools
,”
Proc. of the 3rd Chemnitz Parallel Kinematics Seminar
, Zwickau, Germany, pp.
63
–
66
.
4.
Neumann
,
K. E.
, 2002, “
Tricept Application
,”
Proc. of the 3rd Chemnitz Parallel Kinematics Seminar
, Zwickau, Germany, pp.
547
–
551
.
6.
Huang
,
T.
,
Li
,
M.
, and
Li
,
Z. X.
, et al., 2004, “
5-DOF Hybrid Robot
,” PCT/CN2004/000479.
7.
Huang
,
T.
,
Li
,
M.
, and
Zhao
,
X. M.
, et al., 2005, “
Conceptual Design and Dimensional Synthesis of a 3-DOF Module of the TriVariant–a Novel 5-DOF Reconfigurable Hybrid Robot
,”
IEEE Trans. Rob. Autom.
1042-296X,
21
(
3
), pp.
449
-
456
.
Crossref
Search ADS
 
8.
Li
,
M.
,
Huang
,
T.
, and
Chetwynd
,
D. G.
, et al., “
Forward Position Analysis of the 3-DOF Module of the TriVariant-a 5-DOF Reconfigurable Hybrid Robots
,”
ASME J. Mech. Des.
1050-0472 (in press).
9.
Tsai
,
L. W.
, 1998, “
Solving the Inverse Dynamics of Parallel Manipulators by Principle of Virtual Work
,” DETC98/MECH-5865,
ASME Design Engineering Conference
, Atlanta, GA.
10.
Tsai
,
L. W.
, 1999,
Robot Analysis, the Mechanics of Serial and Parallel Manipulators
,
Wiley
, New York.
11.
Dasgupta
,
B.
, and
Mruthyunjaya
,
T. S.
, 1998, “
A Newton-Euler Formulation for the Inverse Dynamics of the Stewart Platform Manipulator
,”
Mech. Mach. Theory
0094-114X,
33
(
8
), pp.
1135
–
1152
Crossref
Search ADS
 
12.
Dasgupta
,
B.
, and
Mruthyunjaya
,
T. S.
, 1998, “
Closed-Form Dynamic Equations of the General Stewart Platform Through the Newton-Euler Approach
,”
Mech. Mach. Theory
0094-114X,
33
(
7
), pp.
993
–
1012
.
Crossref
Search ADS
 
13.
Dasgupta
,
B.
, and
Choudhury
,
P.
, 1999, “
A General Strategy Based on the Newton-Euler Approach for the Dynamic Formulation of Parallel Manipulators
,”
Mech. Mach. Theory
0094-114X,
34
(
6
), pp.
801
–
824
.
Crossref
Search ADS
 
14.
Do
,
W. Q. D.
, and
Yang
,
D. C. H.
, 1998, “
Inverse Dynamic Analysis and Simulation of a Platform Type of Robot
, “
J. Rob. Syst.
0741-2223,
5
(
3
), pp.
209
–
227
.
Crossref
Search ADS
 
15.
Liu
,
M.-J.
,
Li
,
C.-X.
, and
Li
,
C.-N.
, 2000, “
Dynamics Analysis of the Gough-Stewart Platform Manipulator
,”
IEEE Trans. Rob. Autom.
1042-296X,
16
(
1
), pp.
94
–
98
.
16.
Lebret
,
G.
,
Liu
,
K.
, and
Lewis
,
F. L.
, 1993, “
Dynamic Analysis and Control of a Stewart Platform Manipulator
,”
J. Rob. Syst.
0741-2223,
10
(
5
), pp.
629
–
655
.
Crossref
Search ADS
 
17.
Pang
,
H.
, and
Shahingpoor
,
M.
, 1994, “
Inverse Dynamics of a Parallel Manipulator
,”
J. Rob. Syst.
0741-2223,
11
(
8
), pp.
693
–
702
.
Crossref
Search ADS
 
18.
Asada
,
H.
, 1983, “
A Geometrical Representation of Manipulator Dynamics and Its Application to Arm Design
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
105
(
3
), pp.
131
–
142
.
Crossref
Search ADS
 
19.
Yoshikawa
,
J.
, 1987, “
Manipulability of Robotic Mechanism
,”
Int. J. Robot. Res.
0278-3649,
4
(
2
), pp.
3
–
9
.
Crossref
Search ADS
 
20.
Gosselin
,
C. M.
, and
Angeles
,
J.
, 1991, “
A Global Performance Index for the Kinematic Optimisation of Robotic Manipulators
,”
ASME J. Mech. Des.
1050-0472,
113
(
3
), pp.
220
–
226
.
Crossref
Search ADS
 
21.
Huang
,
T.
,
Li
,
Z. X.
, and
Li
,
M.
, 2004, “
Conceptual Design and Dimensional Synthesis of a Novel 2-DOF Translational Parallel Robot for Pick-and-Place
,”
ASME J. Mech. Des.
1050-0472,
126
(
3
), pp.
449
–
455
.
Crossref
Search ADS
 
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