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

Yuzhe LIU , Liping WANG , Jun WU , Jinsong WANG

Front. Mech. Eng. ›› 2015, Vol. 10 ›› Issue (1) : 7 -19.

PDF (2331KB)
Front. Mech. Eng. ›› 2015, Vol. 10 ›› Issue (1) : 7 -19. DOI: 10.1007/s11465-015-0324-3
RESEARCH ARTICLE
RESEARCH ARTICLE

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

Author information +
History +
PDF (2331KB)

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.

Keywords

parallel mechanism / concomitant motions / kinematics / workspaces / error model

Cite this article

Download citation ▾
Yuzhe LIU, Liping WANG, Jun WU, Jinsong WANG. A comprehensive analysis of a 3-P (Pa) S spatial parallel manipulator. Front. Mech. Eng., 2015, 10(1): 7-19 DOI:10.1007/s11465-015-0324-3

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Zubizarreta A, Marcos M, Cabanes I, Redundant sensor based control of the 3RRR parallel robot. Mechanism and Machine Theory, 2012, 54: 1–17

[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

[3]

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

[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

[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

[7]

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

[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

[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

[10]

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

[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

[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

[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

[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

[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)

[16]

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

[17]

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

[18]

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

[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

[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

[21]

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

[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

[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

[25]

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

[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

[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

[28]

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

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg

AI Summary AI Mindmap
PDF (2331KB)

3881

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/