Abstract
This paper investigates the mobility analysis of a 3-CPU parallel machine, aiming at checking the possibility to perform both pure rotational and pure translational motions. Machine kinematics is formalized by taking advantage of algebraic geometry principles that allow extracting the necessary constraint equations in form of polynomial ideals. The analysis of the sub-ideals deriving from the decomposition of the starting constraint equations yields the conclusion that several kinds of motion are actually achievable by the same 3-CPU architecture. Among them, pure rotational and pure translational mobilities are present. Finally, the existence of machine configurations allowing the transition between such modes is proved and the related poses are explicitly worked out.
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Callegari, M., Marzetti, P., Olivieri, B.: Kinematics of a parallel mechanism for the generation of spherical motions. In: Lenarčič J., Galletti C. (eds.) On Advances in Robot Kinematics, pp. 449–458. Kluwer (2004)
Callegari, M., Palpacelli, M.C.: Prototype design of a translating parallel robot. Meccanica 43, 133–151 (2008)
Carbonari, L.: Extended analysis of the 3-cpu reconfigurable class of parallel robotic manipulators. Ph.D. thesis, Polyt. Univ. of Marche, Ancona (2012)
Galletti, C., Fanghella, P.: Single-loop kinematotropic mechanisms. Mech. Mach. Theory 36(6), 743–761 (2001)
Kredel, H., Weispfenning, V.: Computing dimension and independent sets for polynomial ideals. J. Symb. Comput. 6(2–3), 231–247 (1988)
Walter, D.R., Husty, M.L., Pfurner, M.: A complete kinematic analysis of the SNU 3-UPU parallel robot. In: Interactions of classical and numerical algebraic geometry, vol. 496, pp. 331–344. American Mathematical Society (2008)
Weispfenning, V.: Comprehensive Gröbner bases and regular rings. J. Symb. Comput. 41(3–4), 285–296 (2006)
Wohlhart, K.: Kinematotropic linkages. In: Lenarčič J., Parenti-Castelli V. (eds.) Recent Advances in Robot Kinematics, pp. 449–458. Kluwer (1996)
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Carbonari, L., Callegari, M. (2012). The Kinematotropic 3-CPU Parallel Robot: Analysis of Mobility and Reconfigurability Aspects. In: Lenarcic, J., Husty, M. (eds) Latest Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4620-6_47
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DOI: https://doi.org/10.1007/978-94-007-4620-6_47
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-4619-0
Online ISBN: 978-94-007-4620-6
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