Singularity analysis is one of the most important issues in the field of parallel manipulators. An approach for singularity analysis should be able to not only identify all possible singularities but also explain their physical meanings. Since a parallel manipulator is always out of control at a singularity and its neighborhood, it should work far from singular configurations. However, how to measure the closeness between a pose and a singular configuration is still a challenging problem. This paper presents a new approach for singularity analysis of parallel manipulators by taking into account motion/force transmissibility. Several performance indices are introduced to measure the closeness to singularities. By using these indices, a uniform “metric” can be found to represent the closeness to singularities for different types of nonredundant parallel manipulators.
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November 2012
Research Papers
A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators
Xin-Jun Liu,
Xin-Jun Liu
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
e-mail: xinjunliu@mail.tsinghua.edu.cn
Tsinghua University
, Beijing 100084, China
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Chao Wu,
Chao Wu
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University
, Beijing 100084, China
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Jinsong Wang
Jinsong Wang
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University
, Beijing 100084, China
Search for other works by this author on:
Xin-Jun Liu
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University
, Beijing 100084, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Chao Wu
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University
, Beijing 100084, China
Jinsong Wang
The State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University
, Beijing 100084, China
J. Mechanisms Robotics. Nov 2012, 4(4): 041001 (10 pages)
Published Online: August 10, 2012
Article history
Received:
November 24, 2010
Accepted:
April 20, 2012
Online:
August 10, 2012
Published:
August 10, 2012
Citation
Liu, X., Wu, C., and Wang, J. (August 10, 2012). "A New Approach for Singularity Analysis and Closeness Measurement to Singularities of Parallel Manipulators." ASME. J. Mechanisms Robotics. November 2012; 4(4): 041001. https://doi.org/10.1115/1.4007004
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