This paper presents the analysis of three parallel manipulators with Schoenflies-motion. Each parallel manipulator possesses two limbs in structure and the end-effector has three DOFs (degree of freedom) in the translational motion and one DOF in rotational motion about a given direction axis with respect to the world coordinate system. The three isoconstrained parallel manipulators have the structures denoted as CuuUwHw-//-CvvUwHw, CuRuuUhw-//-CvRvvUhw and CuPuUhw-//- CvPvUhw. The kinematic equations are first introduced for each manipulator. Then, Jacobian matrix, singularity, workspace, and performance index for each mechanism are subsequently derived and analysed for the first time. The results can be helpful for the engineers to evaluate such kind of parallel robots for possible application in industry where pick-and-place motion is required.
Corresponding Author(s):
LEE Jyh-Jone,Email:jjlee@ntu.edu.tw
引用本文:
. Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion[J]. Frontiers of Mechanical Engineering, 2012, 7(2): 163-187.
Po-Chih LEE, Jyh-Jone LEE. Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion. Front Mech Eng, 2012, 7(2): 163-187.
Angeles J. The qualitative synthesis of parallel manipulators. Journal of Mechanical Design , 2004, 126(4): 617-674 doi: 10.1115/1.1667955
2
Clavel R. Device for the movement and positioning of an element in space. US Patent, 4976582, 1990-12-11
3
Pierrot F, Company O. H4: A new family of 4-dof parallel robots. In: Proceedings of IEEE/ASME International Conference on Advances Intelligent Mechatronics , 1999, 508-513
4
Company O, Pierrot F. A new 3T-1R parallel robot. In: Proceedings of IEEE International Conference on Robotic and Automation , 1999, 557-562
5
Rolland L H. The manta and the kanuk: Novel 4-DOF parallel mechanisms for industrial handling. In: Proceedings of International Mechanical Engineering Congress and Exposition, Nashville, Tennessee, USA , 1999, 67: 831-844
6
Company O, Pierrot F, Nabat V, Rodriguez M. Schoen flies motion generator: A new non redundant parallel manipulator with unlimited rotation capability. In: Proceedings of IEEE International Conference Robotic and Automation, Barcelona, Spain , 2005, 3250-3255
7
Richard P L, Gosselin C M, Kong X W. Kinematic analysis and prototyping of a partially decoupled 4-DOF 3T1R parallel manipulator, Journal of Mechanical Design , 2007, 129(12):611-616
8
Angeles J, Morozov A, Navarro O. A novel manipulator architecture for the production of the SCARA motions. In: Proceedings of IEEE International Conference on Robotic and Automation, San Francisco , 2000, 3: 2370-2375
9
Kong X W, Gosselin C M. Type synthesis of 3T1R 4-dof parallel manipulators based on screw theory. In: Proceedings of IEEE Transactions on Robotics and Automation , 2004, 20(2): 181-190 doi: 10.1109/TRA.2003.820853
10
Richard P L, Gosselin C M, Kong X. Kinematic analysis and prototyping of a partially decoupled 4-DOF 3T1R parallel manipulator, Journal of Mechanical Design , 2007, 129(12): 611-616 doi: 10.1115/1.2717611
11
Pierrot F, Nabat V, Company O, Krut S, Poignet P. Optimal design of a 4-DOF parallel manipulator: From academia to industry. In: Proceedings of IEEE Transactions on Robotics , 2009, 25(2): 213-224 doi: 10.1109/TRO.2008.2011412
12
Lee C C, Hervé J M. Iso constrained parallel generators of schoenflies motion. ASME Journal of Mechanical Robots , 2011, 3(2)
13
Lee C C, Lee P C. Isoconstrained Mechanisms for Fast Pick-and-Place Manipulation, In: Proceedings of 1st International Symposium Geometric Methods in Robotics and Mechanism Research, Hong Kong , 2009
14
Lee P C, Lee J J, Lee C C. Four novel pick-and-place isoconstrained manipulators and their inverse kinematics. In: Proceedings of ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Montreal, Canada , 2010 ,15-18
15
Lee P C, Lee J J. Forward kinematics and numerical verification of four novel parallel manipulators with schoenflies motion. In: Proceedings of the 1st IFToMM Asian Conference on Mechanical Machine Science, Taipei , 2010
16
Jin Y, Chen I M, Yang G. Kinematic design of a 6-DOF parallel manipulator with decoupled translation and rotation. In: Proceedings of IEEE Transactions on Robotics , 2006, 22(3): 545-551 doi: 10.1109/TRO.2006.870648
17
Hunt K H. Kinematic Geometry of Mechanisms. Cambridge University Press , 1978
18
Merlet J P. Singular configurations of parallel manipulators and grassmann geometry. International Journal of Robotics Research , 1989, 8(5): 45-56 doi: 10.1177/027836498900800504
19
Gosselin C, Angeles J. Singularity analysis of closed-loop kinematic chains. In: Proceedings of IEEE Transactions on Robotics and Automation , 1990, 6(3): 281-290 doi: 10.1109/70.56660
20
Yang F C, Haug E J. Numerical analysis of the kinematic working capability of mechanism. Journal of Mechanical Design , 1994, 116(1): 111-117 doi: 10.1115/1.2919333
21
Hartenberg R S, Denavit J. Kinematic Synthesis of Linkages. McGraw-Hill , 1964
22
Tsai L W. Robot Analysis, the Mechanics of a Serial and Parallel Manipulators. New York: John Wiley & Sons, 1999
23
Salisbury J K, Craig J J. Articulated hands: Force control and kinematic issues. International Journal of Robotics Research , 1982, 1(1): 417 doi: 10.1177/027836498200100102
24
Yoshikawa T. Manipulability of robotic mechanisms. International Journal of Robotics Research , 1985, 4(2): 3-9 doi: 10.1177/027836498500400201
25
Pond G, Carretero J A. Formulating Jacobian matrices for the dexterity analysis of parallel manipulators. Mechanism and Machine Theory , 2006, 41(12): 1505-1519 doi: 10.1016/j.mechmachtheory.2006.01.003
26
Gosselin C M. Dexterity indices for planar and spatial robotic manipulators. In: Proceedings of IEEE International Conference on Robotics and Automation , 1990 ,650-655
27
Merlet J P. Parallel Robots. 2nd edition, Springer , 2006
28
Zanganeh K E, Angeles J. Kinematic isotropy and the optimum design of parallel manipulators. The International Journal of Robotics Research , 1997, 16(2): 185-197 doi: 10.1177/027836499701600205