Design and analysis of a class of redundant collaborative manipulators with 2D large rotational angles
Xiaodong JIN, Yuefa FANG, Dan ZHANG, Xueling LUO
Design and analysis of a class of redundant collaborative manipulators with 2D large rotational angles
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.
parallel mechanism / redundant mechanism / large rotational angles / machine tools / 2R1T spindle head / collaborative manipulator
[1] |
Sun T, Yang S F, Huang T,
CrossRef
Google scholar
|
[2] |
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
CrossRef
Google scholar
|
[3] |
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
CrossRef
Google scholar
|
[4] |
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
CrossRef
Google scholar
|
[5] |
Sofka J, Skormin V, Nikulin V,
CrossRef
Google scholar
|
[6] |
Sofka J, Skormin V, Nikulin V,
CrossRef
Google scholar
|
[7] |
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
CrossRef
Google scholar
|
[8] |
Krut S, Benoit M, Ota H,
CrossRef
Google scholar
|
[9] |
Nabat V, Rodriguez M, Company O,
|
[10] |
Guo S, Ye W, Qu H B,
CrossRef
Google scholar
|
[11] |
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
CrossRef
Google scholar
|
[12] |
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
CrossRef
Google scholar
|
[13] |
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
CrossRef
Google scholar
|
[14] |
Li Q C, Chen Q H, Wu C Y,
CrossRef
Google scholar
|
[15] |
Xu L M, Li Q C, Zhang N B,
CrossRef
Google scholar
|
[16] |
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
CrossRef
Google scholar
|
[17] |
Wahl J. US Patent, US6431802B1, 2002-08-13
|
[18] |
Huang T, Liu H T. PCT Patent, WO2007124637A1, 2007-08-11
|
[19] |
Sun T, Huo X M. Type synthesis of 1T2R parallel mechanisms with parasitic motions. Mechanism and Machine Theory, 2018, 128: 412–428
CrossRef
Google scholar
|
[20] |
Li Q C, Hervé J M. 1T2R parallel mechanisms without parasitic motion. IEEE Transactions on Robotics, 2010, 26(3): 401–410
CrossRef
Google scholar
|
[21] |
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
CrossRef
Google scholar
|
[22] |
Wang Y, Yu J J, Pei X. Fast forward kinematics algorithm for real-time and high-precision control of the 3-RPS parallel mechanism. Frontiers of Mechanical Engineering, 2018, 13(3): 368–375
CrossRef
Google scholar
|
[23] |
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
CrossRef
Google scholar
|
[24] |
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
CrossRef
Google scholar
|
[25] |
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
|
[26] |
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
CrossRef
Google scholar
|
[27] |
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
CrossRef
Google scholar
|
[28] |
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
CrossRef
Google scholar
|
[29] |
Lee C C, Hervé J M. Type synthesis of primitive Schoenflies-motion generators. Mechanism and Machine Theory, 2009, 44(10): 1980–1997
CrossRef
Google scholar
|
[30] |
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
CrossRef
Google scholar
|
[31] |
Li Y, Wang L, Liu J F,
CrossRef
Google scholar
|
[32] |
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
CrossRef
Google scholar
|
[33] |
Ye W, Fang Y F, Zhang K T,
CrossRef
Google scholar
|
[34] |
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
CrossRef
Google scholar
|
[35] |
Li Q C, Chen Z, Chen Q,
CrossRef
Google scholar
|
[36] |
Chen X, Liu X J, Xie F G,
CrossRef
Google scholar
|
/
〈 | 〉 |