Abstract
The parallel spindle heads with high rotational capability are demanded in the area of multi-axis machine tools and 3D printers. This paper focuses on designing a class of 2R1T (R: Rotation; T: Translation) parallel spindle heads and the corresponding collaborative 5-axis manipulators with 2-dimension (2D) large rotational angles. In order to construct 2D rotational degrees of freedom (DOFs), a platform with 2D revolute joints is proposed first. Based on the constraint screw theory, the feasible limbs that can be connected in the platform are synthesized. In order to provide constant rotational axis for the platform, a class of redundant limbs are designed. A class of redundant 2R1T parallel spindle heads is obtained by connecting the redundant limbs with the platform and the redundant characteristics are verified by the modified Grübler-Kutzbach criterion. The corresponding 5-axis collaborative manipulators are presented by constructing a 2-DOF series translational bottom moving platform. The inverse kinematics and the orientation workspace as well as the decoupling characteristics of this type of 2R1T parallel spindle heads are analyzed. The results show that these manipulators have large 2D rotational angles than the traditional A3/Z3 heads and can be potentially used in the application of multi-axis machine tools and the 3D printers.
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Sun T, Yang S F, Huang T, et al. A finite and instantaneous screw based approach for topology design and kinematic analysis of 5-axis parallel kinematic machines. Chinese Journal of Mechanical Engineering, 2018, 31(1): 44
Fan C X, Liu H Z, Zhang Y B. Type synthesis of 2T2R, 1T2R and 2R parallel mechanisms. Mechanism and Machine Theory, 2013, 61(1): 184–190
Li Q C, Huang Z, Hervé J M. Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements. IEEE Transactions on Robotics and Automation, 2004, 20(2): 173–180
Shim J H, Kwon D S, Cho H S. Kinematic analysis and design of a six DOF 3-PRPS in-parallel manipulator. Robotica, 1999, 17(3): 269–281
Sofka J, Skormin V, Nikulin V, et al. Omni-Wrist III—A new generation of pointing devices. Part I. Laser beam steering devices—Mathematical modeling. IEEE Transactions on Aerospace and Electronic Systems, 2006, 42(2): 718–725
Sofka J, Skormin V, Nikulin V, et al. Omni-Wrist III—A new generation of pointing devices. Part II. Gimbals systems—Control. IEEE Transactions on Aerospace and Electronic Systems, 2006, 42(2): 726–734
Company O, Marquet F, Pierrot F. A new high-speed 4-DOF parallel robot synthesis and modeling issues. IEEE Transactions on Robotics and Automation, 2003, 19(3): 411–420
Krut S, Benoit M, Ota H, et al. I4: A new parallel mechanism for Scara motions. In: Proceedings of the 2003 IEEE International Conference on Robotics and Automation. New York: IEEE, 2003, 1875–1880
Nabat V, Rodriguez M, Company O, et al. Par4: Very high speed parallel robot for pick-and-place. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). Washington, D.C.: IEEE Computer Society, 2005, 553–558
Guo S, Ye W, Qu H B, et al. A serial of novel four degrees of freedom parallel mechanisms with large rotational workspace. Robotica, 2016, 34(4): 764–776
Guo S, Fang Y F, Qu H B. Type synthesis of 4-DOF no overconstrained parallel mechanisms based on screw theory. Robotica, 2012, 30(1): 31–37
Wang C Z, Fang Y F, Fang H R. Novel 2R3T and 2R2T parallel mechanisms with high rotational capability. Robotica, 2017, 35(2): 401–418
Wang C Z, Fang Y F, Guo S. Design and analysis of 3R2T and 3R3T parallel mechanisms with high rotational capability. Journal of Mechanisms and Robotics, 2016, 8(1): 011004
Li Q C, Chen Q H, Wu C Y, et al. Geometrical distribution of rotational axes of 3-[R][S] parallel mechanisms. Mechanism and Machine Theory, 2013, 65(7): 46–57
Xu L M, Li Q C, Zhang N B, et al. Mobility, kinematic analysis, and dimension optimization of new three-degrees-of-freedom parallel manipulator with actuation redundancy. Journal of Mechanisms and Robotics, 2017, 9(4): 041008
Xie F G, Liu X J, Zhou Y H. Development and experimental study of a redundant hybrid machine with five-face milling capability in one setup. International Journal of Precision Engineering and Manufacturing, 2014, 15(1): 13–21
Wahl J. US Patent, 6431802B1, 2002-08-13
Huang T, Liu H T. PCT Patent, WO2007124637A1, 2007-08-11
Sun T, Huo X M. Type synthesis of 1T2R parallel mechanisms with parasitic motions. Mechanism and Machine Theory, 2018, 128: 412–428
Li Q C, Hervé J M. 1T2R parallel mechanisms without parasitic motion. IEEE Transactions on Robotics, 2010, 26(3): 401–410
Ye W, He L Y, Li Q C. A new family of symmetrical 2T2R parallel mechanisms without parasitic motion. Journal of Mechanisms and Robotics, 2018, 10(1): 011006
Wang Y, Yu J J, Pei X. Fast forward kinematics algorithm for realtime and high-precision control of the 3-RPS parallel mechanism. Frontiers of Mechanical Engineering, 2018, 13(3): 368–375
Wang L P, Xu H Y, Guan L W. Kinematics and inverse dynamics analysis for a novel 3-PUU parallel mechanism. Robotica, 2016, 35(10): 2018–2035
Li Y, Xu Q. A new approach to the architecture optimization of a general 3-PUU translational parallel manipulator. Journal of Intelligent & Robotic Systems, 2006, 46(1): 59–72
Tsai L W. The enumeration of a class of three-DOF parallel manipulators. In: Proceedings of the 10th World Congress on the Theory of Machine and Mechanisms. Oulu, 1999, 1123–1126
Yang S F, Sun T, Huang T. Type synthesis of parallel mechanisms having 3T1R motion with variable rotational axis. Mechanism and Machine Theory, 2017, 109: 220–230
Zhao T S, Dai J S, Huang Z. Geometric synthesis of spatial parallel manipulators with fewer than six degrees of freedom. Proceedings of the Institution of Mechanical Engineers. Part C, Journal of Mechanical Engineering Science, 2002, 216(12): 1175–1185
Rodriguez-Leal E, Dai J S, Pennock G R. Screw-system-based mobility analysis of a family of fully translational parallel manipulators. Mathematical Problems in Engineering, 2013, 2013: 262801
Lee C C, Hervé J M. Type synthesis of primitive Schoenflies-motion generators. Mechanism and Machine Theory, 2009, 44(10): 1980–1997
Lee C C, Hérve J M. Parallel mechanisms generating 3-DoF finite translation and (2 or 1)-DOF infinitesimal rotation. Mechanism and Machine Theory, 2012, 51(5): 185–194
Li Y, Wang L, Liu J F, et al. Applicability and generality of the modified Grübler-Kutzbach criterion. Chinese Journal of Mechanical Engineering, 2013, 26(2): 257–263
Fang Y F, Tsai L W. Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures. International Journal of Robotics Research, 2002, 21(9): 799–810
Ye W, Fang Y F, Zhang K T, et al. A new family of reconfigurable parallel mechanisms with diamond kinematotropic chain. Mechanism and Machine Theory, 2014, 74(6): 1–9
Pond G, Carretero J. Architecture optimization of three 3-PRS variants for parallel kinematic machining. Robotics and Computer-integrated Manufacturing, 2009, 25(1): 64–72
Li Q C, Chen Z, Chen Q, et al. Parasitic motion comparison of 3-PRS parallel mechanism with different limb arrangements. Robotics and Computer-Integrated Manufacturing, 2011, 27(2): 389–396
Chen X, Liu X J, Xie F G, et al. A comparison study on motion/force transmissibility of two typical 3-DOF parallel manipulators: The sprint Z3 and A3 tool heads. International Journal of Advanced Robotic Systems, 2014, 11(1): 1–10
Acknowledgements
The authors gratefully acknowledge the financial support of the National Nature Science Foundation of China (Grant Nos. 51975039 and 51675037) and the Fundamental Research Funds for the Central Universities (Grant No. 2018JBZ007).
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Jin, X., Fang, Y., Zhang, D. et al. Design and analysis of a class of redundant collaborative manipulators with 2D large rotational angles. Front. Mech. Eng. 15, 66–80 (2020). https://doi.org/10.1007/s11465-019-0570-x
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DOI: https://doi.org/10.1007/s11465-019-0570-x