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Kinematics and Workspace of a Spherical Engraving Machine with the RPR/RRPR Parallel Configuration

  • Ruiqin LiEmail author
  • Shijie Liang
  • Maorong Zhang
  • Jianwei Zhang
  • Shaoping Bai
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)

Abstract

A spherical engraving machine based on RPR/RRPR spherical parallel mechanism (SPM) is presented. The mathematical model of the RPR/RRPR SPM is established. The forward kinematics and inverse kinematics of the SPM are analyzed. The reachable workspaces of the output reference point of the SPM are solved based on the kinematic analysis and Matlab software. The variation of the reachable workspace under reconfiguration is analyzed. A spherical engraving machine is designed based on the RPR/RRPR spherical parallel configuration for engraving patterns on spherical surfaces of variable diameters.

Keywords

Spherical engraving machine RPR/RRPR Spherical parallel mechanism (SPM) Forward and inverse kinematics Workspace 

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Notes

Acknowledgements

This research was funded by the Key Research and Development Program of Shanxi Province of China (Grant Nos. 201803D421027, 201803D421028) and the Foundation of Shanxi Key Laboratory of Advanced Manufacturing Technology of China (Grant No. XJZZ201702).

References

  1. 1.
    Li R Q, Guo W Z. Research progress on theory and application of modern mechanisms, Beijing: Higher Education Press, 2014. (in Chinese).Google Scholar
  2. 2.
    Lin R F, Guo W Z, Gao F. Type synthesis of a family of 3-DOF spherical parallel mechanisms using upper-lower combination and axis movement theorem. In: Advances in Reconfigurable Mechanisms and Robots II. Mechanisms and Machine Science, Springer, Cham, vol. 36: 315-326 (2016).Google Scholar
  3. 3.
    Yang J Y, Liu Y F, Xu L J, et al. Topological type synthesis of parallel spherical mechanisms based upon spherical four-bar loop. Machine Design and Research, 32(6): 17-20 (2016). (in Chinese)Google Scholar
  4. 4.
    Bai S, Hansen M R, Angeles J. A robust forward-displacement analysis of spherical parallel robots. Mech Mach Theory, 44(12): 2204-2216 (2009).CrossRefGoogle Scholar
  5. 5.
    Li D L, Zhang Z H, Li H. Forward displacement analysis of a 3-RPR spherical parallel mechanism. P I Mech Eng C-J Mec, 227(8): 1864-1869 (2013).Google Scholar
  6. 6.
    Wu G L, Zou P. Comparison of 3-DOF asymmetrical spherical parallel manipulators with respect to motion/force transmission and stiffness. Mech Mach Theory, 105: 369-387 (2016).CrossRefGoogle Scholar
  7. 7.
    Saafi H, Laribi M A, Zeghloul S. Optimal torque distribution for a redundant 3-RRR spherical parallel manipulator used as a haptic medical device. Robot Auton Syst, 89: 40-50 (2017).CrossRefGoogle Scholar
  8. 8.
    Enferadi J, Tootoonchi A A. Accuracy and stiffness analysis of a 3-RRP spherical parallel manipulator. Robotica, 29(2): 193-209 (2011).CrossRefGoogle Scholar
  9. 9.
    Duan X C, Yang Y Z, Cheng B. Modeling and analysis of a 2-DOF spherical parallel manipulator. Sensors, 16(9): 1-15 (2016).CrossRefGoogle Scholar
  10. 10.
    Zhao Y H, Li R Q, Bai S. Singularity analysis of 2R1P spherical parallel mechanisms. Proceedings of the 3rd IFToMM Symposium on Mechanism Design for Robotics, Aalborg, Denmark, June 2-4, 2015: 427-434.CrossRefGoogle Scholar
  11. 11.
    Zhang T C, Li B, Wang D X, et al. Kinematic analysis and its applications of a novel spherical parallel manipulator. IEEE Int Conf on Robotics and Biomimetics, Qingdao, China, Dec. 3-7, 2016: 1309-1312.Google Scholar
  12. 12.
    Vulliez M, Saafi H, Zeghloul S. A real-time serial approach for solving the forward kinematic model of spherical parallel manipulators. In: Advances in Robot Design and Intelligent Control. In: Advances in Intelligent Systems and Computing, Springer, Cham, vol. 540: 128-135 (2017).Google Scholar
  13. 13.
    Bai S. Optimum design of spherical parallel manipulators for a prescribed workspace. Mech Mach Theory, 45: 200-211 (2010).CrossRefGoogle Scholar
  14. 14.
    Tao Z J, An Q. Interference analysis and workspace optimization of 3-RRR spherical paral-lel mechanism. Mech Mach Theory, 69: 62-72 (2013).CrossRefGoogle Scholar
  15. 15.
    Jelassi A, Chaker A, Mlika A. 3-RRR spherical parallel robot optimization with minimum of singularities. In: Computational Kinematics. Mechanisms and Machine Science, Springer, Cham, vol. 50: 299-306 (2018)Google Scholar
  16. 16.
    Li R Q, Zhao J W, Fan D B, et al. Design and workspace analysis of reconfigurable 3-RPRP spherical parallel mechanisms. IEEE/IFToMM Int Conf on Reconfigurable Mechanisms and Robots (ReMAR), Delft, Netherlands, June 20-22, 2018.Google Scholar
  17. 17.
    Du Y T, Li R Q, Li D H, et al. An ankle rehabilitation robot based on 3-RRS spherical parallel mechanism. Adv Mech Eng, 9(8): 1-8 (2017).CrossRefGoogle Scholar
  18. 18.
    Arrouk K, Bouzgarrou B C, Gogu G. On the workspace representation and determination of spherical parallel robotic manipulators. In: New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, Springer, Cham, vol. 43: 131-139 (2017).Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Ruiqin Li
    • 1
    Email author
  • Shijie Liang
    • 1
  • Maorong Zhang
    • 1
  • Jianwei Zhang
    • 2
  • Shaoping Bai
    • 3
  1. 1.School of Mechanical EngineeringNorth University of ChinaTaiyuanChina
  2. 2.Department of InformaticsUniversity of HamburgHamburgGermany
  3. 3.Department of Mechanical and Manufacturing EngineeringAalborg UniversityAalborgDenmark

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