Abstract
The dimensional synthesis of spatial chains for a prescribed set of positions can be used for the design of parallel robots by joining the solutions of each serial chain at the end effector. In some cases, this may yield a system with negative mobility. The synthesis of some overconstrained but movable linkages can be done if the finite screw system associated to the motion of the linkage is known. For these cases, the screw system could be related to the finite tasks positions traditionally defined in the synthesis theory. This paper presents the simplest case, that of the spatial RPRP closed chain, for which one solution exists.
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References
J.E. Baker. On the motion geometry of the bennett linkage. In Proc. 8th Internat. Conf. on Engineering Computer Graphics and Descriptive Geometry, pages 433–437, Austin, Texas, USA,, 1998.
D. Chablat and P. Wenger. Architecture optimization of a 3-dof parallel mechanism for machining applications, the orthoglide. IEEE Transactions on Robotics and Automation, 19(3):403–410, 2003.
G. Gogu. Structural Synthesis of Parallel Robots. Part 1: Methodology. Springer, first edition, 2007.
C. Huang. On the finite screw system of the third order associated with a revolute-revolute chain. ASME Journal of Mechanical Design, 116:875–883, 1994.
C. Huang. The cylindroid associated with finite motions of the bennett mechanism. In Proceedings of the ASME Design Engineering Technical Conferences, 1996, Irvine, CA, USA, 1996.
C. Huang. Linear property of the screw surface of the spatial rprp linkage. ASME Journal of Mechanical Design, 128:581–586, 2006.
T. Huang, M. Li, X.M. Zhao, J.P. Mei, D.G. Chetwynd, and S.J. Hu. Conceptual design and dimensional synthesis for a 3-dof module of the trivariant - a novel 5-dof reconfigurable hybrid robot. IEEE Transactions on Robotics, 21(3):449–456, 2005.
K.H. Hunt. Kinematic Geometry of Mechanisms., Oxford University Press, 1978.
M.L. Husty, M. Pfurner, H.-P. Schrocker, and K. Brunnthaler. Algebraic methods in mechanism analysis and synthesis. Robotica, 25:661–675, 2007.
H.S. Kim and L.-W. Tsai. Design optimization of a cartesian parallel manipulator. ASME Journal of Mechanical Design, 125:43–51, 2003.
H.S. Kim and L.-W. Tsai. Kinematic synthesis of a spatial 3-rps parallel manipulator. ASME Journal of Mechanical Design, 125:92–97, 2003.
A. Kosinska, M. Galicki, and K. Kedzior. Design and optimization of parameters of delta-4 parallel manipulator for a given workspace. Journal of Robotic Systems, 20(9):539–548, 2003.
E. Lee and C. Mavroidis. Solving the geometric design problem of spatial 3r robot manipulators using polynomial homotopy continuation. ASME Journal of Mechanical Design, 124(4):652–661, 2002.
J.-P. Merlet. Optimal design of robots. In Proceedings of Robotics: Science and Systems, June, 2005, Cambridge, USA, 2005.
I.A. Parkin. A third conformation with the screw systems: Finite twist displacements of a directed line and point. Mechanism and Machine Theory, 27:177–188, 1992.
A. Perez and J. M. McCarthy. Dimensional synthesis of bennett linkages. ASME Journal of Mechanical Design, 125(1):98–104, 2003.
A. Perez and J. M. McCarthy. Dual quaternion synthesis of constrained robotic systems. ASME Journal of Mechanical Design, 126(3):425–435, 2004.
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Perez-Gracia, A. (2010). Synthesis of Spatial RPRP Loops for a Given Screw System. In: Pisla, D., Ceccarelli, M., Husty, M., Corves, B. (eds) New Trends in Mechanism Science. Mechanisms and Machine Science, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9689-0_2
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DOI: https://doi.org/10.1007/978-90-481-9689-0_2
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