Abstract
The inverse dynamic of two 3UPU parallel manipulators (PM) are analyzed in this paper. The first 3UPU PM has three translational degree of freedom (DOF) and the second 3UPU PM has two translational and one rotational DOF. First, the mobility of the two UPU PMs is analyzed. Second, the constrained forces/torques in UPU-type legs are determined, and the 6×6 Jacobian matrices of the two 3UPU PMs are derived by considering the constrained forces/torques. Third, based on the principle of virtual work, the dynamic is solved with the active forces and the constrained forces/torques derived. Finally, an analytic solved example for the 3UPU PM is given.
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References
Merlet, J.-P.: Parallel Robots. Kluwer Academic Publishers, Dordrecht (1999)
Dasgupta, B., Mruthyunjaya, T.S.: Closed-Form Dynamic Equations of the General Stewart Platform through the Newton–Euler Approach. Mechanism and Machine Theory 33(7), 993–1012 (1999)
Joshi, S.A., Tsai, L.W.: Jacobian Analysis of Limited-DOF Parallel Manipulators. ASME Journal of Mechanical Design 124(2), 254–258 (2002)
Tsai, L.W.: Solving the inverse Dynamic of a Stewart-Gough manipulator by the principle of virtual work. Trans. of the ASME, Journal of Mechanical Design 122(1), 3–9 (2000)
Wang, J., Gosselin, C.M.: A new approach for the dynamic analysis of parallel manipulators. Multibody System Dynamic 2(3), 317–334 (1998)
Rico, J.M., Duffy, J.: Forward and Inverse Acceleration Analyses of In-Parallel Manipulators. Trans. of the ASME, Journal of Mechanical Design 122, 299–303 (2000)
Gallardo, J., Rico, J.M., Frisoli, A., Checcacci, D., Bergamasco, M.: Dynamic ofparallel manipulators by means of screw theory. Mechanism and MachineTheory 38(11), 1113–1131
Di Gregorio, R., Parenti-Castelli, V.: Dynamic of a class of parallel wrists. Journal of Mechanical Design, Transactions of the ASME 126(3), 436–441 (2004)
Di Gregorio, R.: Dynamic model and performances of 2-DOF manipulators. Robotica 24(1), 51–60 (2006)
Sokolov, A., Xirouchakis, P.: Dynamic analysis of a 3-DOF parallel manipulator with R–P–S joint structure. Mechanism and Machine Theory 42(5), 541–557 (2007)
Zhang, D., Gosselin, C.M.: Kinetostattic modeling of N-DoF parallel mechanisms with passive constraining leg and prismatic actuators. Trans. of the ASME Journal of Mechanical Design 123(3), 375–381 (2001)
Yi, L., Bo, H.: Solving driving forces of 2(3-SPR) serial-parallel manipulator by CAD variation geometry approach. Transaction ASME Journal of Mechanical Design 128(6), 1349–1351 (2006)
Bo, H., Yi, L.: Analyses of kinematics, statics, and workspace of a 3-RRPRR parallel manipulator and its three isomeric mechanisms. Journal of Mechanical Engineering Science (Proc. IMechE Part C) 222(9), 1829–1837 (2008)
Yi, L., Bo, H.: Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs. Mechanism and Machine Theory 43(9), 1112–1128 (2008)
Taghirad, H.D., Nahon, M.: A Dynamic analysis of a macro-micro redundantly actuated parallel manipulator. Advanced Robotics 22(9), 949–981 (2008)
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© 2009 Springer-Verlag Berlin Heidelberg
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Hu, B., Lu, Y., Mao, H. (2009). Inverse Dynamic Modeling of Two Unsymmetrical 3UPU Parallel Manipulators. In: Xie, M., Xiong, Y., Xiong, C., Liu, H., Hu, Z. (eds) Intelligent Robotics and Applications. ICIRA 2009. Lecture Notes in Computer Science(), vol 5928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10817-4_58
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DOI: https://doi.org/10.1007/978-3-642-10817-4_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10816-7
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