This article discusses the development of statically balanced spatial parallel platform mechanisms. A mechanism is statically balanced if its potential energy is constant for all possible configurations. This property is very important for robotic manipulators with large payloads, since it means that the mechanism is statically stable for any configuration, i.e., zero actuator torques are required whenever the manipulator is at rest. Furthermore, only inertial forces and moments have to be sustained while the manipulator is moving. The application that motivates this research is the use of parallel platform manipulators as motion bases in commercial flight simulators, where the weight of the cockpit results in a large static load. We first present a class of spatial parallel platform mechanisms that is suitable for static balancing. The class of mechanisms considered is a generalization of the manipulator described by Streit (1991, “Spatial Manipulator and Six Degree of Freedom Platform Spring Equilibrator Theory,” in Second National Conference on Applied Mechanisms and Robotics, VIII.B, pp. 1-1–1-6). Then sufficient conditions on the kinematic parameters that guarantee static balancing are derived for this class. Finally a particular mechanism is studied in more detail to show the practicability of its design. [S1050-0472(00)01401-X]

1.
Streit, D., 1991, “Spatial Manipulator and Six Degree of Freedom Platform Spring Equilibrator Theory,” in Second National Conference on Applied Mechanisms and Robotics, VIII.B, pp. 1-1–1-6.
2.
Berkof
,
R.
, and
Lowen
,
G.
,
1969
, “
A New Method for Completely Force Balancing Simple Linkages
,”
J. Eng. Ind.
,
91
(B), No. 1, pp.
21
26
.
3.
Berkof
,
R.
, and
Lowen
,
G.
,
1971
, “
Theory of Shaking Moment Optimization of Force-Balanced Four-Bar Linkages
,”
J. Eng. Ind.
,
93
(B), pp.
53
60
.
4.
Kochev
,
I.
,
1987
, “
General Method for Full Force Balancing of Spatial and Planar Linkages by Internal Mass Redistribution
,”
Mech. Mach. Theor.
,
22
, No.
4
, pp.
333
341
.
5.
Kochev
,
I.
,
1992
, “
Qualitative Theory of the Reactions and Stresses in High Speed Planar Linkages
,”
Mech. Mach. Theor.
,
27
, No
1
, pp.
59
68
.
6.
Yu
,
Y.-Q.
,
1988
, “
Complete Shaking Force and Shaking Moment Balancing of Spatial Irregular Force Transmission Mechanisms Using Additional Links
,”
Mech. Mach. Theor.
,
23
, No
4
, pp.
279
285
.
7.
Yu
,
Y.-Q.
,
1987
, “
Research on Complete Shaking Force and Shaking Moment Balancing of Spatial Linkages
,”
Mech. Mach. Theor.
,
22
, No.
1
, pp.
27
37
.
8.
Soper, R., Mook, D., and Reinholtz, C., 1997, “Vibration of Nearly Perfect Spring Equilibrators,” in Proceedings of the 1997 ASME Design Engineering Technical Conference, number DAC-3768.
9.
Streit
,
D.
, and
Gilmore
,
B.
,
1989
, “
‘Perfect’ Spring Equilibrators for Rotatable Bodies
,”
Trans. ASME—J. Mech. Trans. Auto. Des.
,
111
, pp.
451
458
.
10.
Streit, D., and Shin, E., 1990, “Equilibrators for Planar Linkages,” in Proceedings of the ASME Mechanisms Conference, DE-25, pp. 21–28.
11.
Streit
,
D.
, and
Shin
,
E.
,
1993
, “
Equilibrators for Planar Linkages
,”
ASME J. Mech. Des.
,
115
, No.
3
, pp.
604
611
.
12.
Shin
,
E.
, and
Streit
,
D.
,
1991
, “
Spring Equilibrator Theory for Static Balancing of Planar Pantograph Linkages
,”
Mech. Machine Theor.
,
26
, No.
7
, pp.
645
657
.
13.
Walsh
,
G.
,
Streit
,
D.
, and
Gilmore
,
B.
,
1991
, “
Spatial Spring Equilibrator Theory
,”
Mech. Mach. Theor.
,
26
, No.
2
, pp.
155
170
.
14.
Nathan
,
R.
,
1985
, “
A Constant Force Generation Mechanism
,”
Trans. ASME—J. Mech. Trans. Auto. Des.
,
107
, pp.
508
512
.
15.
Ulrich, N., and Kumar, V., 1991, “Passive Mechanical Gravity Compensation for Robot Manipulators,” In IEEE International Conference on Robotics and Automation, pp. 1536–1541.
16.
Jean, M., and Gosselin, C., 1996, “Static Balancing of Planar Parallel Manipulators,” in Proceedings of the IEEE International Conference on Robotics and Automation, 4, pp. 3732–3737.
17.
Dunlop, G., and Jones, T., 1996, “Gravity Counter Balancing of a Parallel Robot for Antenna Aiming,” in 6th ISRAM, pp. 153–158.
18.
Gosselin
,
C.
,
1999
, “
Static Balancing of Spherical 3-dof Parallel Mechanisms and Manipulators
,”
Int. J. Robotics Res.
,
18
, No.
8
, pp.
819
829
.
19.
Gosselin, C., and Wang, J., 1998, “Static Balancing of Spatial Six-Degree-of-Freedom Parallel Mechanisms with Revolute Actuators,” in 1998 ASME Design Engineering Technical Conferences, number DETC/MECH-5961.
20.
Wang, J., 1998, “Kinematic Analysis, Dynamic Analysis and Static Balancing of Planar and Spatial Parallel Mechanisms or Manipulators with Revolute Actuators,” PhD thesis, Laval University, Que´bec, Canada.
21.
Inoue, H., Tsusaka, Y., and Fukuizumi, T., 1985, “Parallel Manipulator,” in Robotics Research: Third International Symposium, Series in Artificial Intelligence, Gouvieux, France, MIT Press, Cambridge, MA, pp. 321–327.
22.
Long, G., Collins, C., and McCarthy, J., 1991, “Design and Control of a Parallel Platform Teleoperator Interface,” in Proceedings of the 39th Conference on Remote Systems Technology, San Francisco, CA pp. 257–259.
23.
Ceccarelli
,
M.
,
1997
, “
A New 3 D.O.F. Spatial Parallel Mechanism
,”
Mech. Mach. Theory
,
32
, No.
8
, pp.
895
902
.
24.
Romiti, A., Sorli, M., and Zhmud, N., 1993, “Design and Properties of the Turin 6 D.O.F. Parallel Robot for Deburring Operations,” in ISMCR ’93: Third International Symposium on Measurement and Control in Robotics, Turino, Italy, pp. Bm.III-1–Bm.III-6,
25.
Ebert-Uphoff, I., and Gosselin, C., 1999, “Dynamic Modeling of a Class of Spatial Statically-Balanced Parallel Platform Mechanisms,” in 1999 IEEE International Conference on Robotics and Automation, Detroit, MI, pp. 881–888.
26.
Gosselin, C., 1997, “Note sur les Conditions d’e´quilibrage statique de Berkof et Lowen,” in Proceedings of the 16th Canadian Congress of Applied Mechanics (CANCAM 97), 1, pp. 497–498, Que´bec, Canada.
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