Working capability analysis of planar and spatial Stewart platforms with unilateral constraints on actuator length is carried out using numerical methods based on analytical criteria for the boundary of the accessible output set. Restrictions on achievable motion at singular configurations associated with points interior to the accessible output set are also analyzed. Since movement of the working point on a spatial Stewart platform occurs in three-dimensional space, the boundary of the accessible output set is a two-dimensional surface. Numerical methods used in this analysis map one-dimensional solution sets, permitting the boundary of the accessible output set to be characterized by a family of one dimensional generators. Motion control restrictions inside the accessible output set are similarly characterized by families of interior singular curves, and barriers to motion control across surfaces defined are analyzed.
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June 1996
Research Papers
Working Capability Analysis of Stewart Platforms
Chi-Mei Luh,
Chi-Mei Luh
Center for Computer-Aided Design and Applied Mathematical and Computational Sciences, The University of Iowa, Iowa City, IA
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F. A. Adkins,
F. A. Adkins
Center for Computer-Aided Design and Applied Mathematical and Computational Sciences, The University of Iowa, Iowa City, IA
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E. J. Haug,
E. J. Haug
Center for Computer-Aided Design and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA
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C. C. Qiu
C. C. Qiu
Black & Veatch, Kansas City, MO
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Chi-Mei Luh
Center for Computer-Aided Design and Applied Mathematical and Computational Sciences, The University of Iowa, Iowa City, IA
F. A. Adkins
Center for Computer-Aided Design and Applied Mathematical and Computational Sciences, The University of Iowa, Iowa City, IA
E. J. Haug
Center for Computer-Aided Design and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA
C. C. Qiu
Black & Veatch, Kansas City, MO
J. Mech. Des. Jun 1996, 118(2): 220-227 (8 pages)
Published Online: June 1, 1996
Article history
Received:
October 1, 1994
Revised:
September 1, 1995
Online:
December 11, 2007
Citation
Luh, C., Adkins, F. A., Haug, E. J., and Qiu, C. C. (June 1, 1996). "Working Capability Analysis of Stewart Platforms." ASME. J. Mech. Des. June 1996; 118(2): 220–227. https://doi.org/10.1115/1.2826873
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