Abstract
This paper presents a 3-RPaS (R and S denote the revolute and spherical joint, pa denotes the parallelogram) parallel manipulator with two-rotational-degrees-of-freedom (2R1T) and one-translational-degree-of-freedom motion. By introducing parallelograms and an innovative driving module, the 3-RPaS manipulator can change the transmission path of the driving and reaction forces, and achieves 27 actuation modes. The kinematic performance of the manipulator under different actuation modes is analyzed with the indices that are defined based on matrix orthogonal degree. Comparative analysis indicates that the kinematic performance of the manipulator varies significantly in different actuation modes. A reasonable selection of actuation modes can effectively improve the kinematic performance and eliminate singularities. The concept of optimal actuation mode and the implementation approach of actuation mode conversion are discussed and analyzed for kinematics promotion. The kinematic performance of the manipulator is greatly improved with optimal actuation modes, without changing the topology structure and dimensional parameters.
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J. Mo, Z. F. Shao, L. Guan, F. Xie and X. Tang, Dynamic performance analysis of the X4 high–speed pick–and–place parallel robot, Robotics and Computer–Integrated Manufacturing, 46 (2017) 48–57.
X. Duan, Y. Yang and B. Cheng, Modeling and analysis of a 2–DOF spherical parallel manipulator, Sensors, 16 (9) (2016) 1485.
F. Pierrot, C. Reynaud and A. Fournier, DELTA: A simple and efficient parallel robot, Robotica, 8 (2) (1990) 105–109.
J. Wahl, Articulated tool head, US Patent, 6431802B1 (2002).
X. Chen, X. J. Liu, F. Xie and T. Sun, A comparison study on motion/force transmissibility of two typical 3–DOF parallel manipulators: The sprint Z3 and A3 tool heads, International Journal of Advanced Robotic Systems, 11 (1) (2014) 1–10.
F. Xie, X. J. Liu, Z. You and J. Wang, Type synthesis of 2T1R–type parallel kinematic mechanisms and the application in manufacturing, Robotics and Computer–Integrated Manufacturing, 30 (1) (2014) 1–10.
D. Wang, J. Wu and L. Wang, Research on the error transfer characteristics of a 3–DOF parallel tool head, Robotics and Computer–Integrated Manufacturing, 50 (2018) 266–275.
J. Wu, X. Chen and L. Wang, Design and dynamics of a novel solar tracker with parallel mechanism, IEEE/ASME Transactions on Mechatronics, 21 (1) (2016) 88–97.
B. Hu, L. Zhang and J. Yu, Kinematics and dynamics analysis of a novel serial–parallel dynamic simulator, Journal of Mechanical Science & Technology, 30 (11) (2016) 5183–5195.
J. Yu, Y. Hu, S. Bi, G. Zong and W. Zhao, Kinematics feature analysis of a 3 DOF in–parallel compliant mechanism for micro manipulation, Chinese Journal of Mechanical Engineering, 17 (1) (2004) 127–131.
D. Liu, R. Che, Z. Li and X. Luo, Research on the theory and the virtual prototype of 3–DOF parallel–link coordinating measuring machine, IEEE Transactions on Instrumentation and Measurement, 52 (1) (2003) 119–125.
Y. Song, P. Han and P. Wang, Type synthesis of 1T2R and 2R1T parallel mechanisms employing conformal geometric algebra, Mechanism and Machine Theory, 121 (2018) 475–486.
Y. D. Xu, D. S. Zhang, J. T. Yao and Y. S. Zhao, Type synthesis of the 2R1T parallel mechanism with two continuous rotational axes and study on the principle of its motion decoupling, Mechanism and Machine Theory, 108 (2017) 27–40.
L. Xu, Q. Li, J. Tong and Q. Chen, Tex3: An 2R1T parallel manipulator with minimum DOF of joints and fixed linear actuators, International Journal of Precision Engineering and Manufacturing, 19 (2) (2018) 227–238.
B. Hu and Z. Huang, A family of 2R1T parallel manipulators with intersecting rotational axes, X. Ding et al. (Eds.), Advances in Reconfigurable Mechanisms and Robots II, Springer International Publishing, Switzerland (2016) 287–295.
Y. Xu, S. Zhou, J. Yao and Y. Zhao, Rotational axes analysis of the 2–RPU/SPR 2R1T parallel mechanism, M. Ceccarelli and V. A. Glazunov (Eds.), Advances on Theory and Practice of Robots and Manipulators, Mechanisms and Machine Science, Springer International Publishing, Switzerland (2014) 113–121.
D. Wang, R. Fan and W. Chen, Performance enhancement of a three–degree–of–freedom parallel tool head via actuation redundancy, Mechanism and Machine Theory, 71 (1) (2017) 142–162.
L. Xu, Q. Li, N. Zhang and Q. Chen, Mobility, kinematic analysis, and dimensional optimization of new threedegrees–of–freedom parallel manipulator with actuation redundancy, Journal of Mechanisms and Robotics, 9 (2017) 041008.
S. H. Cha, T. A. Lasky and S. A. Velinsky, Singularity avoidance for the 3–RRR mechanism using kinematic redundancy, 2007 IEEE International Conference on Robotics and Automation (2007) 1195–1200.
L. Wang, H. Xu and L. Guan, Optimal design of a 3–PUU parallel mechanism with 2R1T DOFs, Mechanism and Machine Theory, 114 (2017) 190–203.
N. Rakotomanga, D. Chablat and S. Caro, Kinetostatic performance of a planar parallel mechanism with variable actuation, J. Lenarcic and P. Wenger (Eds.), Advances in Robot Kinematics: Analysis and Design, Springer, Dordrecht (2008) 311–320.
Z. Zhang, L. Wang and Z. Shao, Improving the kinematic performance of a planar 3–RRR parallel manipulator through actuation mode conversion, Mechanism and Machine Theory, 130 (2018) 86–108.
L. Wang, Z. Zhang, Z. Shao and X. Tang, Analysis and optimization of a novel planar 5R parallel mechanism with variable actuation modes, Robotics and Computer–Integrated Manufacturing, 56 (2019) 178–190.
H. Qu, Y. Fang and S. Guo, A new method for isotropic analysis of limited DOF parallel manipulators with terminal constraints, Robotica, 29 (2004) 563–569.
T. Yoshikawa, Manipulability of robotic mechanisms, International Journal of Robotics Research, 4 (2) (1985) 3–9.
C. Gosselin and J. Angeles, The optimum kinematic design of a spherical three–degree–of–freedom parallel manipulator, Journal of Mechanical Design, 111 (2) (1989) 202–207.
C. Gosselin and J. Angeles, A global performance index for the kinematic optimization of robotic manipulators, Journal of Mechanical Design, 113 (3) (1991) 220–226.
J. P. Merlet, Jacobian, manipulability, condition number and accuracy of parallel robots, Journal of Mechanical Design, 128 (1) (2005) 199–206.
X. J. Liu, C. Wu and J. Wang, A new index for the performance evaluation of parallel manipulators: A study on planar parallel manipulators, Proceedings of the 7th World Congress on Intelligent Control and Automation (2008) 353–357.
R. S. Ball, A treatise on the Theory of Screws, Kessinger Publishing, Montanna (2007).
M. S. C. Yuan, F. Freudenstein and L. S. Woo, Kinematics analysis of spatial mechanism by means of screw coordinates, Part 2—Analysis of spatial mechanisms, Journal of Manufacturing Science and Engineering, 93 (1) (1971) 67–73.
G. Sutherland and B. Roth, A transmission index for spatial mechanisms, Journal of Manufacturing Science and Engineering, 95 (2) (1973) 579–587.
M. J. Tsai and H. W. Lee, The transmissivity and manipulability of spatial mechanisms, Journal of Mechanical Design, 116 (1) (1994) 137–143.
M. J. Tsai and H. W. Lee, Generalized evaluation for the transmission performance of mechanisms, Mechanism and Machine Theory, 29 (4) (1994) 607–618.
C. Chen and J. Angeles, Generalized transmission index and transmission quality for spatial linkages, Mechanism and Machine Theory, 42 (9) (2007) 1225–1237.
J. Wang, C. Wu and X. J. Liu, Performance evaluation of parallel manipulators: Motion/force transmissibility and its index, Mechanism and Machine Theory, 45 (10) (2010) 1462–1476.
Z. F. Shao, J. Mo, X. Q. Tang and L. P. Wang, Transmission index research of parallel manipulators based on matrix orthogonal degree, Chinese Journal of Mechanical Engineering, 30 (6) (2017) 1396–1405.
J. Li, J. Wang, W. Chou and Y. Zhang, Inverse kinematics and dynamics of the 3–RRS parallel platform, Proceedings of 2011 IEEE International Conference on Robotics and Automation, 3 (2001) 2506–2511.
X. J. Liu and I. A. Bonev, Orientation capability, error analysis, and dimensional optimization of two articulated tool heads with parallel kinematics, Journal of Manufacturing Science & Engineering, 130 (1) (2008) 011015.
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Recommended by Associate Editor Baek-kyu Cho
Liping Wang received his Ph.D. degree in Mechanical Engineering from Jilin University of Technology, China, in 1997. He is currently a Professor of Tsinghua University, China. His research interests include advanced manufacturing equipment and its control, mechanism theory and control of parallel robots.
Zhaokun Zhang received his bachelor’s degree in Mechanical Engineering from Huazhong University of Science and Technology, China, in 2015. He is currently a Ph.D. candidate at Tsinghua University, China. His research interests include intelligent manufacturing, parallel robots, and cable-driven parallel robots.
Zhufeng Shao received his bachelor’s degree from Shandong University, China, in 2006 and Ph.D. degree in Mechanical Engineering from Tsinghua University, China, in 2011. He is currently an Associate Professor of Tsinghua University. His research interests include advanced manufacturing equipment and its control, rigid-flexible coupling system, and cable robots.
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Wang, L., Zhang, Z. & Shao, Z. Kinematic performance analysis and promotion of a spatial 3-RPaS parallel manipulator with multiple actuation modes. J Mech Sci Technol 33, 889–902 (2019). https://doi.org/10.1007/s12206-019-0146-z
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DOI: https://doi.org/10.1007/s12206-019-0146-z