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Dynamics analysis of novel parallel manipulator with one central rotational actuator and four translational actuators

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Abstract

A dynamics analysis of a novel parallel manipulator with one central rotational actuator and four translational actuators is conducted. A 3D model of the parallel manipulator is constructed and its characteristics and DoF are analyzed. The kinematics formulae are derived for solving the displacement, velocity and acceleration of the moving links. The dynamics formulae are derived for solving the inertial wrench of the moving links, the dynamic active forces along the active limbs, the dynamic active torque applied on a central active leg, and the dynamic constrained force exerted on the central active leg. A theoretical numerical example is given to solve the kinematics and dynamics solutions, and the theoretical solutions are verified by the simulation mechanism in Matlab. Finally, a reachable workspace of the novel parallel manipulator is constructed using CAD variation geometry.

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References

  1. Z. Shu and U. Heisel, Parallel Machine Tool, Mechanical Industry Press, Bejing, China (2003).

    Google Scholar 

  2. Z. Huang, Theory of Parallel Mechanisms, Springer, New York (2013).

    Book  Google Scholar 

  3. D. Zhang, Parallel Robotic Machine Tools, Springer New York Dordrecht Heidelberg London (2010) 37.

    Book  Google Scholar 

  4. F. Gao, W. Li, X. Zhao, Z. Jin and H. Zhao, New kinematic structures for 2-, 3-, 4- and 5-DOF parallel manipulator designs, Mechanism and Machine Theory, 37 (11) (2002) 1395–1411.

    Article  MATH  Google Scholar 

  5. F. Gao, B. Peng, W. Li and H. Zhao, Design of a novel 5-DOF parallel kinematic machine tool based on workspace, Robotica, 23 (1) (2005) 35–43.

    Article  Google Scholar 

  6. X. Liu, T. Zhao, E. Luo, W. Chen and Q. Pan, Coupling 3-PSR/PSU 5-axis compensation mechanism for stabilized platform and its analysis, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 227 (7) (2013) 1619–1629.

    Google Scholar 

  7. L. P. Wang, F. G. Xie, X. J. Liu and J. Wang, Kinematic calibration of the 3-DOF parallel module of a 5-axis hybrid milling machine, Robotica, 29 (4) (2011) 535–546.

    Article  Google Scholar 

  8. J. Wu, J. S. Wang, L. P. Wang and T. M. Li, Dynamic model and force control of the redundantly actuated parallel manipulator of a 5-DOF hybrid machine tool, Robotica, 27 (1) (2009) 59–65.

    Article  Google Scholar 

  9. S. J. Zhu, Z. Huang and M. Y. Zhao, Singularity analysis for six practicable 5-DoF fully-symmetrical parallel manipulators, Mechanism and Machine Theory, 44 (4) (2009) 710–725.

    Article  MATH  Google Scholar 

  10. Y. Li, D. Tan, D. Wen, S. Ji and D. Cai, Parameters optimization of a novel 5-DOF gasbag polishing machine tool, Chinese Journal of Mechanical Engineering, 26 (4) (2013) 680–688.

    Article  Google Scholar 

  11. M. Qi and Y. H. Qie, Forward kinematics analysis for a novel 5-DOF parallel mechanism using tetrahedron configurations, Chinese Journal of Mechanical Engineering, 20 (6) (2007) 1–4.

    Article  Google Scholar 

  12. X. Kong and C. M. Gosselin, Type synthesis of 5-DOF parallel manipulators based on screw theory, Journal of Robotic Systems, 22 (10) (2005) 535–547.

    Article  MATH  Google Scholar 

  13. S. A. Ramezan, F. M. Seyyed and A. Ghanbari, Analysis and optimization of the 5-RPUR parallel manipulator, Advanced Robotics, 28 (15) (2014) 1021–1031.

    Article  Google Scholar 

  14. J. Borras, F. Thomas and C. Torras, Singularity-invariant families of line-plane 5-SPU platforms, IEEE Transactions on Robotics, 27 (5) (2011) 837–848.

    Article  Google Scholar 

  15. Y. F. Fang and L. W. Tsai, Structure synthesis of a class of 4-DoF and 5-DoF parallel manipulators with identical limb structures, International Journal of Robotics Research, 21 (9) (2002) 799–810.

    Article  Google Scholar 

  16. B. Motevalli, H. Zohoor and S. Sohrabpour, Structural synthesis of 5 DoFs 3T2R parallel manipulators with prismatic actuators on the base, Robotics and Autonomous Systems, 58 (3) (2010) 307–321.

    Article  Google Scholar 

  17. O. Piccin, B. Bayle, B. Maurin and M. De Mathelin, Kinematic modeling of a 5-DOF parallel mechanism for semi-spherical workspace, Mechanism and Machine Theory, 44 (8) (2009) 1485–1496.

    Article  MATH  Google Scholar 

  18. Q. Li, Z. Huang and J. M. Herve, Type synthesis of 3R2T 5-DOF parallel mechanisms using the lie group of displacements, IEEE Transactions on Robotics and Automation, 20 (2) (2004) 3–180.

    Article  Google Scholar 

  19. V. Sangveraphunsiri and K. Chooprasird, Dynamics and control of a 5-DOF manipulator based on an H-4 parallel mechanism, International Journal of Advanced Manufacturing Technology, 52 (1–4) (2011) 343–364.

    Article  Google Scholar 

  20. W. You, M. X. Kong, Z. J. Du and L. N. Sun, High efficient inverse dynamic calculation approach for a haptic device with pantograph parallel platform, Multibody System Dynamics, 21 (3) (2009) 233–247.

    Article  MathSciNet  MATH  Google Scholar 

  21. Y. Lu and B. Hu, Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs, Mechanism and Machine Theory, 43 (9) (2008) 1112–1128.

    Article  MATH  Google Scholar 

  22. S. M. Kim, B. J. Yi and J. H. Chung, Development of a new neurosurgical 5-DOF parallel robot for stereotactic DBS operations, International Journal of Precision Engineering and Manufacturing, 18 (3) (2017) 333–343.

    Article  Google Scholar 

  23. B. Lian, T. Sun and Y. Song, Stiffness analysis and experiment of a novel 5-DoF parallel kinematic machine considering gravitational effects, International Journal of Machine Tools & Manufacture, 95 (8) (2015) 82–96.

    Article  Google Scholar 

  24. X. Liu, Y. Xu and J. Yao, Control-faced dynamics with deformation compatibility for a 5-DOF active over-constrained spatial parallel manipulator 6PUS-UPU, Mecha-tronics, 30 (9) (2015) 107–115.

    Article  Google Scholar 

  25. C. Han, J. Kim, J. W. Kim and C. P. Fran, Kinematic sensitivity analysis of the 3-UPU parallel mechanism, Mechanism and Machine Theory, 37 (8) (2002) 787–798.

    Article  MATH  Google Scholar 

  26. Y. Lu and B. Hu, Analysis of stiffness and elastic deformation for a 4-dof 4SPS SP parallel manipulator with a SP passive constrained leg, Proceedings of the Institution of Mechanical Engineers, Part K, Journal of Multi-body Dynamics, 223 (K1) (2009) 73–80.

    Article  Google Scholar 

  27. Y. Lu, Y. Shi and B. Hu, Solving reachable workspace of some parallel manipulators by CAD variation geometry, Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 222 (9) (2008) 1773–1781.

    Article  Google Scholar 

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Acknowledgements

The authors are grateful to (1) Major Research Project (91748125) supported by National Natural Science Foundation of China, (2) Project (E2016203203) supported by Hebei Excellent Youth Scholars Foundation, (3) Project (E2017203094) supported by Hebei Distinguished Young Scholar Foundation.

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Correspondence to Yi Lu.

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Recommended by Associate Editor Baek-Kyu Cho

Yang Lu is an engineer of Harbin Electric Corporation (Qinhuangdao) Heavy Equipment Company Limited, got his B.S. (engineering) degree at College of Mechanical Engineering, Yanshan University.

Yi Lu (corresponding author) got his B.S. and M.S. (Engineering) degrees at Northeast Heavy Machinery Institute in Qiqihar, China, and Dr. Sc. Tech. degree 1997 at University of Oulu, Finland. He completed post-doctor research in 2000. Dr. Yi Lu has been Professor of College of Mechanical Engineering since 1998, a supervisor of candidate of doctor since 2004 at Yanshan University in Qinhuangdao, P. R. China. He has published more than 200 papers.

Yang Liu is a Ph.D. at College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, P. R. China.

Bo Hu is a Ph.D. at Yanshan University. He is a Professor of College of Mechanical Engineering at Yanshan University, Qinhuangdao, P. R. China since 2018.

Yufeng Gong is a master at College of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, P. R. China.

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Lu, Y., Lu, Y., Liu, Y. et al. Dynamics analysis of novel parallel manipulator with one central rotational actuator and four translational actuators. J Mech Sci Technol 33, 2893–2902 (2019). https://doi.org/10.1007/s12206-019-0537-1

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  • DOI: https://doi.org/10.1007/s12206-019-0537-1

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