RESEARCH ARTICLE

A comprehensive analysis of a 3-P (Pa) S spatial parallel manipulator

  • Yuzhe LIU 1,2 ,
  • Liping WANG , 1,2 ,
  • Jun WU 1,2 ,
  • Jinsong WANG 1,2
Expand
  • 1. State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
  • 2. Beijing Key Laboratory of Precision/Ultra-precision Manufacturing Equipments and Control, Beijing 100084, China

Received date: 20 Dec 2014

Accepted date: 15 Jan 2015

Published date: 01 Apr 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

In this paper, a novel 3-degree of freedom (3-DOF) spatial parallel kinematic machine (PKM) is analyzed. The manipulator owns three main motions (two rotations and one translation) and three concomitant motions (one rotation and two translations). At first, the structure of this spatial PKM is simplified according to the characteristic of each limb. Secondly, the kinematics model of this spatial PKM is set up. In addition, the relationship between the main motions and concomitant motions is studied. The workspaces respectively based on the outputs and inputs are derived and analyzed. Furthermore, the velocity model is put forward. Two indexes based on the velocity model are employed to investigate the performance of this spatial PKM. At last, the output error model can be obtained and simulated. The comprehensive kinematics analysis in this paper is greatly useful for the future applications of this spatial PKM.

Cite this article

Yuzhe LIU , Liping WANG , Jun WU , Jinsong WANG . A comprehensive analysis of a 3-P (Pa) S spatial parallel manipulator[J]. Frontiers of Mechanical Engineering, 2015 , 10(1) : 7 -19 . DOI: 10.1007/s11465-015-0324-3

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51105225 and 51225503).
1
Zubizarreta A, Marcos M, Cabanes I, Redundant sensor based control of the 3RRR parallel robot. Mechanism and Machine Theory, 2012, 54: 1–17

DOI

2
Kucuk S. A dexterity comparison for 3-DOF planar parallel manipulators with two kinematic chains using genetic algorithms. Mechatronics, 2009, 19(6): 868–877

DOI

3
Staicu S. Power requirement comparison in the 3-RPR planar parallel robot dynamics. Mechanism and Machine Theory, 2009, 44(5): 1045–1057

DOI

4
Zhu D, Feng Y, Cai J, Kinematic analysis of 3-DOF perpendicular parallel manipulator with flexure hinge. In: Proceedings of Third International Conference on Knowledge Discovery and Data Mining. IEEE, 2010, 363–366

DOI

5
Merlet J P. Parallel Robots. London: Kluwer Academic Publishers, 2000

6
Merlet J P. Direct kinematics of parallel manipulators. IEEE Transactions on Robotics and Automation, 1993, 9(6): 842–846

DOI

7
Harib K, Srinivasan K. Kinematic and dynamic analysis of Stewart platform-based machine tool structures. Robotica, 2003, 21(05): 541–554

DOI

8
Lee K M, Shah D K. Kinematic analysis of a three-degrees-of-freedom in-parallel actuated manipulator. IEEE Journal of Robotics and Automation, 1988, 4(3): 354–360

DOI

9
Yang P, Waldron K J, Orin D E. Kinematics of a three degree-of-freedom motion platform for a low-cost driving simulator. Recent Advances in Robot Kinematics, 1996, 89–98

DOI

10
Ceccarelli M. A new 3 DOF spatial parallel mechanism. Mechanism and Machine Theory, 1997, 32(8): 895–902

DOI

11
Gosselin C, Angeles J. The optimum kinematic design of a spherical three-degree-of-freedom parallel manipulator. Journal of Mechani-cal Design, 1989, 111(2): 202–207

DOI

12
Wu J, Wang J, Wang L, Performance comparison of three planar 3-DOF parallel manipulators with 4-RRR, 3-RRR and 2-RRR structures. Mechatronics, 2010, 20(4): 510–517

DOI

13
Wu J, Chen X, Wang L, Dynamic load-carrying capacity of a novel redundantly actuated parallel conveyor. Nonlinear Dynamics, 2014, 78(1): 241–250

DOI

14
Wu J, Li T, Wang J, Performance analysis and comparison of planar 3-DOF parallel manipulators with one and two additional branches. Journal of Intelligent & Robotic Systems, 2013, 72(1): 73–82

DOI

15
Liu Y, Wu J, Wang L, Determination of the maximal singularity-free zone of 4-RRR redundant parallel manipulators and its application on investigating length ratios of links. Roboticain press)

DOI

16
Karouia M, Hervé J M. A three-dof tripod for generating spherical rotation. Advances in Robot Kinematics, 2000, 395–402

DOI

17
Vischer P, Clavel R. Argos: A novel 3-DoF parallel wrist mechanism. International Journal of Robotics Research, 2000, 19(1): 5–11

DOI

18
Di Gregorio R. A new parallel wrist using only revolute pairs: The 3-RUU wrist. Robotica, 2001, 19(03): 305–309

DOI

19
Zlatanov D, Bonev I A, Gosselin C M. Constraint singularities of parallel mechanisms. In: Proceedings of IEEE International Conference on Robotics and Automation (ICRA’02). IEEE, 2002, 1: 496–502

DOI

20
Fang Y, Tsai L W. Structure synthesis of a class of 3-DOF rotational parallel manipulators. IEEE Transactions on Robotics and Automation, 2004, 20(1): 117–121

DOI

21
Li Y, Xu Q. Kinematic analysis of a 3-PRS parallel manipulator. Robotics and Computer-integrated Manufacturing, 2007, 23(4): 395–408

DOI

22
Chen C, Huang Y M, Han X Z, Study and analysis of The 3-PRS parallel mechanism. In: Proceedings of International Conference on Mechatronics and Automation (ICMA 2009). IEEE, 2009, 1515–1520

DOI

23
Huang P, Wang J, Wang L, Kinematical error analysis and identification of a 3-PRS parallel mechanism. Journal of Tsinghua University (Science and Technology), 2010, 50(11): 1811–1814, 1819 (in Chinese)

24
Huang P, Wang J, Wang L, Identification of structure errors of 3-PRS-XY mechanism with regularization method. Mechanism and Machine Theory, 2011, 46(7): 927–944

DOI

25
Li Y, Xu Q. Kinematics and inverse dynamics analysis for a general 3-PRS spatial parallel mechanism. Robotica, 2005, 23(02): 219– 229

DOI

26
Zhang X, Fang H. Optimization of a 3-PRS parallel manipulator based on interval analysis. In: Proceedings of 2012 10th World Congress on Intelligent Control and Automation (WCICA). IEEE, 2012, 2452–2456

DOI

27
Yuan W H, Tsai M S. A novel approach for forward dynamic analysis of 3-PRS parallel manipulator with consideration of friction effect. Robotics and Computer-integrated Manufacturing, 2014, 30(3): 315–325

DOI

28
Gosselin C M. Geometric analysis of parallel mechanisms. Dissertation for the Doctoral Degree. Quebec: Laval University, 2002, 75–81

Outlines

/