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Type synthesis of parallel mechanisms having the first class GF sets and one-dimensional rotation

Published online by Cambridge University Press:  25 February 2011

Jialun Yang
Affiliation:
State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
Feng Gao*
Affiliation:
State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
Qiaode Jeffrey Ge
Affiliation:
Computational Design Kinematics Laboratory, Department of Mechanical Engineering, Stony Brook University, Stony Brook, NY 11794-2300, USA
Xianchao Zhao
Affiliation:
State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
Weizhong Guo
Affiliation:
State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
Zhenlin Jin
Affiliation:
Robotic Research Center, School of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, P.R. China
*
*Corresponding author. E-mail: fengg@sjtu.edu.cn

Summary

A method is presented for the type synthesis of a class of parallel mechanisms having one-dimensional (1D) rotation based on the theory of Generalized Function sets (GF sets for short), which contain two classes. The type synthesis of parallel mechanisms having the first class GF sets and 1D rotation is investigated. The Law of one-dimensional rotation is given, which lays the theoretical foundation for the intersection operations of GF sets. Then the kinematic limbs with specific characteristics are designed according to the 2D and 3D axis movement theorems. Finally, several synthesized parallel mechanisms have been sketched to show the effectiveness of the proposed methodology.

Type
Articles
Copyright
Copyright © Cambridge University Press 2011

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References

1.Merlet, J. P., Parallel Robots (Kluwer Academic Publishers, Dordrecht, Netherlands, 2006).Google Scholar
2.Liu, X. J., Wang, J. and Gao, F., “Performance atlases of the workspace for planar 3-DOF parallel manipulators,” Robotica 18 (5), 563568 (2000).CrossRefGoogle Scholar
3.Kong, X. and Gosselin, C. M., “Type synthesis of 3-DOF PPR-equivalent parallel manipulators based on screw theory and the concept of virtual chain,” J. Mech. Des. 127 (6), 11131121 (2005).CrossRefGoogle Scholar
4.Liu, X. J., Tang, X. and Wang, J., “HANA: A novel spatial parallel manipulator with one rotational and two translational degrees of freedom,” Robotica 23 (2), 257270 (2005).CrossRefGoogle Scholar
5.Liu, X. J., Wang, J., Wu, C. and Kim, J., “A new family of spatial 3-DOF parallel manipulators with two translational and one rotational DOFs,” Robotica 27 (2), 241247 (2008).CrossRefGoogle Scholar
6.Gogu, G., “Structural synthesis of fully isotropic parallel robots with Schöflies motions via theory of linear transformations and evolutionary morphology,” Eur. J. Mech. 26 (2), 242269 (2007).CrossRefGoogle Scholar
7.Choi, H. B., Konno, A. and Uchiyama, M., “Design, implementation, and performance evaluation of a 4-DOF parallel robot,” Robotica 28 (1), 107118 (2009).CrossRefGoogle Scholar
8.Kong, X. and Gosselin, C. M., “Type synthesis of 3 T1R 4-DOF parallel manipulators based on screw theory,” IEEE Trans. Robot. Autom. 20 (2), 181190 (2004).CrossRefGoogle Scholar
9.Lee, C. C. and Hervé, J. M., “Uncoupled actuation of overconstrained 3T-1R hybrid parallel manipulators,” Robotica 27 (1), 103117 (2008).CrossRefGoogle Scholar
10.Salgado, O., Altuzarra, O., Petuya, V. and Herández, A., “Synthesis and design of a novel 3T-1R fully parallel manipulator,” J. Mech. Des. 130, 042305042308 (2008).CrossRefGoogle Scholar
11.Briot, S., Arkelian, V. and Guégan, S., “Design and prototyping of a partially decoupled 4-DOF 3T-1R parallel manipulator with high-load carrying capacity,” J. Mech. Des. 130 (12), 122303 (2008).CrossRefGoogle Scholar
12.Salgado, O., Altuzarra, O., Amezua, E. and Hernández, A., “A parallelogram-based parallel manipulator for Schönflies motion,” J. Mech. Des. 129 (12), 12431250 (2007).CrossRefGoogle Scholar
13.Earl, C. F., “Some kinematics structures for robot manipulator designs,” J. Mech. Transm. Autom. Des. 105 (1), 1522 (1983).CrossRefGoogle Scholar
14.Huang, Z. and Li, Q. C., “General methodology for type synthesis of symmetrical lower-mobility parallel manipulators and several novel manipulators,” Int. J. Robot. Res. 21 (2), 131146 (2002).CrossRefGoogle Scholar
15.Kong, X. and Gosselin, C. M., “Type synthesis of 3-DOF spherical parallel manipulators based on screw theory,” J. Mech. Des. 126 (1), 101108 (2004).CrossRefGoogle Scholar
16.Hervé, J. M., “The Lie group of rigid body displacements, a fundamental tool for mechanism design,” Mech. Mach. Theory 34 (5), 719730 (1999).CrossRefGoogle Scholar
17.Meng, J., Liu, G. and Li, Z., “A geometric theory for analysis and synthesis of sub-6-DoF parallel manipulators,” IEEE Trans. Robot. Autom. 23 (4), 625649 (2007).CrossRefGoogle Scholar
18.Refaat, S., Hervé, J. M., Nahavandi, S. and Trinh, H., “Two-mode overconstrained three-DOFs rotational-translational linear-motor-based parallel-kinematics mechanism for machine tool applications,” Robotica 25 (4), 461466 (2007).CrossRefGoogle Scholar
19.Li, Q. C., Huang, Z. and Hervé, J. M., “Type synthesis of 3R2T 5-DOF parallel mechanisms using the Lie group of displacements,” IEEE Trans. Robot. Autom. 20 (2), 173180 (2004).CrossRefGoogle Scholar
20.Li, Q. C. and Hervé, J. M., “1T2R parallel mechanisms without parasitic motion,” IEEE Trans. Robot. 26 (3), 401410 (2010).Google Scholar
21.Li, Q. C. and Hervé, J. M., “Structural shakiness of nonoverconstrained translational parallel mechanisms with identical limbs,” IEEE Trans. Robot. 25 (1), 2536 (2009).Google Scholar
22.Gogu, G., “Structural synthesis of maximally regular T3R2-type parallel robots via theory of linear transformations and evolutionary morphology,” Robotica 27 (1), 79101 (2009).CrossRefGoogle Scholar
23.Yang, T. L., Liu, A. X., Jin, Q., Luo, Y. F., Shen, H. P. and Hang, L. B., “Position and orientation characteristic equation for topological design of robot mechanisms,” J. Mech. Des. 131 (2), 021001 (2009).CrossRefGoogle Scholar
24.Gao, F., Li, W., Zhao, X., Jin, Z. and Zhao, H., “New kinematic structures for 2-, 3-, 4-, and 5-DOF parallel manipulator designs,” Mech. Mach. Theory 37 (11), 13951411 (2002).CrossRefGoogle Scholar