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]
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e-mail: gosselin@gmc.ulaval.ca
e-mail: thierry@gmc.ulaval.ca
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March 2000
Technical Papers
Static Balancing of Spatial Parallel Platform Mechanisms—Revisited
Imme Ebert-Uphoff,
Imme Ebert-Uphoff
Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405
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Cle´ment M. Gosselin,
e-mail: gosselin@gmc.ulaval.ca
Cle´ment M. Gosselin
De´partement de Ge´nie Me´canique, Universite´ Laval, Que´bec, PQ, G1K 7P4, Canada
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Thierry Laliberte´
e-mail: thierry@gmc.ulaval.ca
Thierry Laliberte´
De´partement de Ge´nie Me´canique, Universite´ Laval, Que´bec, PQ, G1K 7P4, Canada
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Imme Ebert-Uphoff
Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405
Cle´ment M. Gosselin
De´partement de Ge´nie Me´canique, Universite´ Laval, Que´bec, PQ, G1K 7P4, Canada
e-mail: gosselin@gmc.ulaval.ca
Thierry Laliberte´
De´partement de Ge´nie Me´canique, Universite´ Laval, Que´bec, PQ, G1K 7P4, Canada
e-mail: thierry@gmc.ulaval.ca
Contributed by the Mechanisms Committee for publication in the ASME JOURNAL OF MECHANICAL DESIGN. Manuscript received June 1998; revised Jan. 2000. Associate Technical Editor: G. S. Chirikjian.
J. Mech. Des. Mar 2000, 122(1): 43-51 (9 pages)
Published Online: January 1, 2000
Article history
Received:
June 1, 1998
Revised:
January 1, 2000
Citation
Ebert-Uphoff, I., Gosselin, C. M., and Laliberte´, T. (January 1, 2000). "Static Balancing of Spatial Parallel Platform Mechanisms—Revisited ." ASME. J. Mech. Des. March 2000; 122(1): 43–51. https://doi.org/10.1115/1.533544
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