The parallel mechanism with a reconfigurable platform retains all advantages of parallel mechanisms and provides additional functions by virtue of the reconfigurable platform, leading to kinematic coupling between limbs that restricts development of the mechanism. This paper aims at dealing with kinematic coupling between limbs by investigating the transferability of limb constraints and their degrees of relevance to the platform constraints based on the geometric model of the mechanism. The paper applies screw-system theory to verifying the degree of relevance between limb constraint wrenches and platform constraint wrenches, and reveals the transferability of limb constraints, to obtain the final resultant wrenches and twists of the end effector. The proposed method is extended to parallel mechanisms with planar n-bar reconfigurable platforms, spherical n-bar reconfigurable platforms, and other spatial reconfigurable platforms and lends itself to a way of studying a parallel mechanism with a reconfigurable platform.
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June 2019
Research-Article
Relevance and Transferability for Parallel Mechanisms With Reconfigurable Platforms
Xi Kang,
Xi Kang
MOE Key Laboratory for Mechanism Theory and Equipment Design,
International Centre for Advanced Mechanisms and Robotics,
Tianjin 300350,
e-mail: xikang@tju.edu.cn
International Centre for Advanced Mechanisms and Robotics,
Tianjin University
,Tianjin 300350,
China
e-mail: xikang@tju.edu.cn
Search for other works by this author on:
Jian S. Dai
Jian S. Dai
1
Advanced Kinematics and Reconfigurable Robotics Lab,
School of Natural and Mathematical Sciences,
King’s College London, Strand,
London WC2R 2LS,
e-mail: jian.dai@kcl.ac.uk
School of Natural and Mathematical Sciences,
King’s College London, Strand,
London WC2R 2LS,
UK
e-mail: jian.dai@kcl.ac.uk
1Corresponding author.
Search for other works by this author on:
Xi Kang
MOE Key Laboratory for Mechanism Theory and Equipment Design,
International Centre for Advanced Mechanisms and Robotics,
Tianjin 300350,
e-mail: xikang@tju.edu.cn
International Centre for Advanced Mechanisms and Robotics,
Tianjin University
,Tianjin 300350,
China
e-mail: xikang@tju.edu.cn
Jian S. Dai
Advanced Kinematics and Reconfigurable Robotics Lab,
School of Natural and Mathematical Sciences,
King’s College London, Strand,
London WC2R 2LS,
e-mail: jian.dai@kcl.ac.uk
School of Natural and Mathematical Sciences,
King’s College London, Strand,
London WC2R 2LS,
UK
e-mail: jian.dai@kcl.ac.uk
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the Journal of Mechanisms and Robotics. Manuscript received July 25, 2018; final manuscript received January 14, 2019; published online April 9, 2019. Assoc. Editor: Raffaele Di Gregorio.
J. Mechanisms Robotics. Jun 2019, 11(3): 031012 (9 pages)
Published Online: April 9, 2019
Article history
Received:
July 25, 2018
Revision Received:
January 14, 2019
Accepted:
January 22, 2019
Citation
Kang, X., and Dai, J. S. (April 9, 2019). "Relevance and Transferability for Parallel Mechanisms With Reconfigurable Platforms." ASME. J. Mechanisms Robotics. June 2019; 11(3): 031012. https://doi.org/10.1115/1.4042629
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