Articles | Volume 9, issue 2
https://doi.org/10.5194/ms-9-297-2018
https://doi.org/10.5194/ms-9-297-2018
Research article
 | 
24 Sep 2018
Research article |  | 24 Sep 2018

Solution Region Synthesis Methodology of RCCC Linkages for Four Poses

Jianyou Han and Yang Cao

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Subject: Mechanisms and Robotics | Techniques and Approaches: Synthesis
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Cited articles

Al-Widyan, K. M. and Angeles, J.: The kinematic synthesis of a robust rccc mechanism for pick-and-place operations, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 579–588, 2012 
Angeles, J.: Foundations for the Approximate Synthesis of RCCC Motion Generators, in: Computational Kinematics, Springer, 331–338, 2014. 
Bai, S. and Angeles, J.: A Robust Solution of the Spatial Burmester Problem, J. Mech. Robot., 4, 031003, https://doi.org/10.1115/1.4006658, 2012. 
Bai, S. and Angeles, J.: Synthesis of RCCC Linkages to Visit Four Given Poses, J. Mech. Robotics, 7, 031004, https://doi.org/10.1115/1.4028637, 2015. 
Bates, D. J., Hauenstein, J. D., Sommese, A. J., and Wampler, C. W.: Bertini: Software for numerical algebraic geometry, http://bertini.nd.edu, 2006 
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Short summary
The paper presents a solution region synthesis methodology for RCCC linkages. First, we couple the RC and CC dyads for obtaining all synthesis equations. Then using the solution region theory and Bertini software, all solutions for RCCC linkages can be obtained. The key contribution of this paper is that all solutions of RCCC linkages for four specific poses are obtained. Only one RCCC linkage can be synthesized by the methods published before;