The constraint performance analysis in the limited kinetostatic subspace of parallel manipulators is a significant but ignored issue. The motion/force constrainability analysis, with focus on lower-mobility parallel manipulators, is the subject of this study. Via the theory of screws, three generalized frame-invariant constraint indices are proposed based on the concept of the power coefficient. The introduced indices can not only identify the singularity and the fully constrained property but also measure the closeness between a particular pose and an unconstrained configuration (or fully constrained configuration). In order to demonstrate the feasibility and the validity of the analysis methods and indices, the detailed evaluation of two typical industrial parallel manipulators are presented, the Sprint Z3 head and the Tricept mechanism.
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August 2014
Research-Article
Motion/Force Constrainability Analysis of Lower-Mobility Parallel Manipulators
Xin-Jun Liu,
Xin-Jun Liu
1
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University
,Beijing 100084
, China
Beijing Key Lab of Precision/Ultra-Precision
Manufacturing Equipments and Control,
e-mail: xinjunliu@mail.tsinghua.edu.cn
Manufacturing Equipments and Control,
Tsinghua University
,Beijing 100084
, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
1Corresponding author.
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Xiang Chen,
Xiang Chen
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University
,Beijing 100084
, China
Beijing Key Lab of Precision/Ultra-Precision
Manufacturing Equipments and Control,
Manufacturing Equipments and Control,
Tsinghua University
,Beijing 100084
, China
Search for other works by this author on:
Meyer Nahon
Meyer Nahon
Department of Mechanical Engineering and
Centre for Intelligent Machines,
Centre for Intelligent Machines,
McGill University
,Montreal, QC H3A 2K6
, Canada
Search for other works by this author on:
Xin-Jun Liu
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University
,Beijing 100084
, China
Beijing Key Lab of Precision/Ultra-Precision
Manufacturing Equipments and Control,
e-mail: xinjunliu@mail.tsinghua.edu.cn
Manufacturing Equipments and Control,
Tsinghua University
,Beijing 100084
, China
e-mail: xinjunliu@mail.tsinghua.edu.cn
Xiang Chen
The State Key Laboratory of Tribology and
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Institute of Manufacturing Engineering,
Department of Mechanical Engineering,
Tsinghua University
,Beijing 100084
, China
Beijing Key Lab of Precision/Ultra-Precision
Manufacturing Equipments and Control,
Manufacturing Equipments and Control,
Tsinghua University
,Beijing 100084
, China
Meyer Nahon
Department of Mechanical Engineering and
Centre for Intelligent Machines,
Centre for Intelligent Machines,
McGill University
,Montreal, QC H3A 2K6
, Canada
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received October 11, 2013; final manuscript received December 27, 2013; published online April 3, 2014. Assoc. Editor: Yuefa Fang.
J. Mechanisms Robotics. Aug 2014, 6(3): 031006 (9 pages)
Published Online: April 3, 2014
Article history
Received:
October 11, 2013
Revision Received:
December 27, 2013
Citation
Liu, X., Chen, X., and Nahon, M. (April 3, 2014). "Motion/Force Constrainability Analysis of Lower-Mobility Parallel Manipulators." ASME. J. Mechanisms Robotics. August 2014; 6(3): 031006. https://doi.org/10.1115/1.4026632
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