Reactionless mechanisms have many important applications because of their zero reaction forces and moments at the base. However, in most cases, these mechanisms consume more energy than their unbalanced counterparts. This paper focuses on analyzing the relationship between the needed input torque and the dynamic parameters of reactionless four-bar linkages. The objective is to minimize the needed input torque by optimizing the relevant dynamic parameters. The dynamic analysis shows that the needed input torque mainly depends on the mass of the link, which needs to be balanced. The results obtained can be applied to the design optimization and dynamic control of the devices such as parallel manipulators composed of reactionless four-bar linkages.

1.
Ricard
,
R.
, and
Gosselin
,
C.
, 2000, “
On the Development of Reactionless Parallel Manipulators
,”
ASME
Paper No. DETC2000/MECH-14098.
2.
Berkof
,
R. S.
, and
Lowen
,
G. G.
, 1969, “
A New Method for Completely Force Balancing Simple Linkages
,”
ASME J. Eng. Ind.
0022-0817,
91
(
1
), pp.
21
26
.
3.
Lowen
,
G. G.
,
Tepper
,
F. R.
, and
Berkof
,
R. S.
, 1983, “
Balancing of Linkages—An Update
,”
Mech. Mach. Theory
0094-114X,
18
(
3
), pp.
213
220
.
4.
Dresig
,
H.
et al.
, 1998, “
Dynamics of Mechanisms Rigid Body Mechanisms
,”
VDI Richtlinien
,
2149
, p.
72
.
5.
Kochev
,
I. S.
, 2000, “
General Theory of Complete Shaking Moment Balancing of Planar Linkages: A Critical Review
,”
Mech. Mach. Theory
0094-114X,
35
(
11
), pp.
1501
1514
.
6.
Feng
,
G.
, 1989, “
Complete Shaking Force and Shaking Moment Balancing of Four Types of Six-Bar Linkages
,”
Mech. Mach. Theory
0094-114X,
24
(
4
), pp.
275
287
.
7.
Bagci
,
C.
, 1992, “
Complete Balancing of Linkages Using Complete Dynamical Equivalents of Floating Links: CDEL Method
,”
Proceedings of the Flexible Mechanisms, Dynamics, and Analysis; 22nd Biennial Mechanisms Conference
, Vol.
DE-47
, pp.
477
488
.
8.
Jean
,
M.
, and
Gosselin
,
C.
, 1996, “
Static Balancing of Planar Parallel Manipulators
,”
Proceedings of the IEEE International Conference on Robotics and Automation
, Minneapolis, MN, Vol.
4
, pp.
3732
3737
.
9.
Bagci
,
C.
, 1983, “
Complete Balancing of Space Mechanisms Shaking Force Balancing
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
105
, pp.
609
616
.
10.
Yu
,
Y. Q.
, 1987, “
Research on Complete Shaking Force and Shaking Moment Balancing of Spatial Linkages
,”
Mech. Mach. Theory
0094-114X,
22
(
1
), pp.
27
37
.
11.
Yu
,
Y. Q.
, 1987, “
Optimum Shaking Force and Shaking Moment Balancing of the RSSR Spatial Linkage
,”
Mech. Mach. Theory
0094-114X,
22
(
1
), pp.
39
45
.
12.
Papadopoulos
,
E.
, and
Abu-Abed
,
A.
, 1996, “
On the Design of Zero-Reaction Manipulators
,”
ASME J. Mech. Des.
0161-8458,
118
(
3
), pp.
372
376
.
13.
Kochev
,
I. S.
, 1990, “
Full Shaking Moment Balancing of Planar Linkages by a Prescribed Input Speed Fluctuation
,”
Mech. Mach. Theory
0094-114X,
25
(
4
), pp.
459
466
.
14.
Dubowsky
,
S.
, and
Torres
,
M. A.
, 1991, “
Path Planning for Space Manipulators to Minimize Spacecraft Attitude Disturbances
,”
Proceedings of the IEEE International Conference on Robotics and Automation
, Sacramento, CA, pp.
2522
2528
.
15.
Papadopoulos
,
E.
, and
Dubowsky
,
S.
, 1991, “
Coordinated Manipulator/Spacecraft Motion Control for Space Robotic Systems
,”
Proceedings of the IEEE International Conference on Robotics and Automation
, Sacramento, CA, pp.
1696
1701
.
16.
Legnani
,
G.
,
Zappa
,
B.
,
Adamini
,
R.
, and
Casolo
,
F.
, 1999, “
A Contribution to the Dynamics of Free-Flying Space Manipulators
,”
Mech. Mach. Theory
0094-114X,
34
(
3
), pp.
359
372
.
17.
Bagci
,
C.
, 1982, “
Complete Shaking Force and Shaking Moment Balancing of Link Mechanisms Using Balancing Idler Loops
,”
ASME J. Mech. Des.
0161-8458,
104
, pp.
482
493
.
18.
Yu
,
Y. Q.
, 1988, “
Complete Shaking Force and Shaking Moment Balancing of Spatial Irregular Force Transmission Mechanisms Using Additional Links
,”
Mech. Mach. Theory
0094-114X,
23
(
4
), pp.
279
285
.
19.
Gao
,
F.
, 1991, “
Complete Shaking Force and Shaking Moment Balancing of 17 Types of Eight-Bar Linkages Only With Revolute Pairs
,”
Mech. Mach.Theory
,
26
(
2
), pp.
197
206
.
20.
Ye
,
Z.
, and
Smith
,
M. R.
, 1994, “
Complete Balancing of Planar Linkages by an Equivalence Method
,”
Mech. Mach. Theory
0094-114X,
29
(
5
), pp.
701
712
.
21.
Gosselin
,
C.
,
Vollmer
,
F.
,
Cote
,
G.
, and
Wu
,
Y.
, 2004, “
Synthesis and Design of Reactionless Three-Degree-of Freedom Parallel Mechanisms
,”
IEEE Trans. Rob. Autom.
1042-296X,
20
(
2
), pp.
191
199
.
22.
Luh
,
J. Y. S.
, and
Zheng
,
Y. F.
, 1985, “
Computation of Input Generalized Forces for Robots With Closed Kinematic Chain Mechanisms
,”
IEEE J. Rob. Autom.
0882-4967,
1
(
2
), pp.
95
103
.
23.
Wang
,
J.
, and
Gosselin
,
C.
, 1998, “
A New Approach for the Dynamic Analysis of Parallel Manipulators
,”
Multibody Syst. Dyn.
1384-5640,
2
, pp.
317
334
.
You do not currently have access to this content.