This paper introduces a new metamorphic parallel mechanism consisting of four reconfigurable rTPS limbs. Based on the reconfigurability of the reconfigurable Hooke (rT) joint, the rTPS limb has two phases while in one phase the limb has no constraint to the platform, in the other it constrains the spherical joint center to lie on a plane. This results in the mechanism to have ability of reconfiguration between different topologies with variable mobility. Geometric constraint equations of the platform rotation matrix and translation vector are set up based on the point-plane constraint, which reveals the bifurcated motion property in the topology with mobility 2 and the geometric condition with mobility change in altering to other mechanism topologies. Following this, a unified kinematics limb modeling is proposed considering the difference between the two phases of the reconfigurable rTPS limb. This is further applied for the mechanism modeling and both the inverse and forward kinematics is analytically solved by combining phases of the four limbs covering all the mechanism topologies. Based on these, a unified singularity modeling is proposed by defining the geometric constraint forces and actuation forces in the Jacobian matrix with their change in the variable topologies in terms of constraint screws. Analysis of workspace with singularity distribution is carried out using this model and corresponding singularity loci are obtained with special singular configurations illustrated.
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August 2013
Research-Article
Unified Kinematics and Singularity Analysis of a Metamorphic Parallel Mechanism With Bifurcated Motion
Dongming Gan,
Dongming Gan
1
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
e-mail: dongming.gan@kustar.ac.ae
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
e-mail: dongming.gan@kustar.ac.ae
1Corresponding author.
Search for other works by this author on:
Jian S. Dai,
Jian S. Dai
School of Natural and Mathematical Sciences,
King's College London,
London WC2R2LS,
King's College London,
University of London
,London WC2R2LS,
UK
Search for other works by this author on:
Jorge Dias,
Jorge Dias
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
Faculty of Science and Technology,
Coimbra 3000-315,
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
;Faculty of Science and Technology,
University of Coimbra
,Coimbra 3000-315,
Portugal
Search for other works by this author on:
Lakmal Seneviratne
Lakmal Seneviratne
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
School of Natural and Mathematical Sciences,
King's College London,
London WC2R2LS,
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
;School of Natural and Mathematical Sciences,
King's College London,
University of London
,London WC2R2LS,
UK
Search for other works by this author on:
Dongming Gan
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
e-mail: dongming.gan@kustar.ac.ae
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
e-mail: dongming.gan@kustar.ac.ae
Jian S. Dai
School of Natural and Mathematical Sciences,
King's College London,
London WC2R2LS,
King's College London,
University of London
,London WC2R2LS,
UK
Jorge Dias
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
Faculty of Science and Technology,
Coimbra 3000-315,
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
;Faculty of Science and Technology,
University of Coimbra
,Coimbra 3000-315,
Portugal
Lakmal Seneviratne
Robotics Institute,
Technology and Research,
Abu Dhabi 127788,
School of Natural and Mathematical Sciences,
King's College London,
London WC2R2LS,
Khalifa University of Science
,Technology and Research,
Abu Dhabi 127788,
UAE
;School of Natural and Mathematical Sciences,
King's College London,
University of London
,London WC2R2LS,
UK
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received July 18, 2012; final manuscript received March 28, 2013; published online June 10, 2013. Assoc. Editor: Qiaode Jeffrey Ge.
J. Mechanisms Robotics. Aug 2013, 5(3): 031004 (11 pages)
Published Online: June 24, 2013
Article history
Received:
July 18, 2012
Revision Received:
March 28, 2013
Citation
Gan, D., Dai, J. S., Dias, J., and Seneviratne, L. (June 24, 2013). "Unified Kinematics and Singularity Analysis of a Metamorphic Parallel Mechanism With Bifurcated Motion." ASME. J. Mechanisms Robotics. August 2013; 5(3): 031004. https://doi.org/10.1115/1.4024292
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