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Type Synthesis and Kinematics Performance Analysis of a Class of 3T2R Parallel Mechanisms with Large Output Rotational Angles

  • Bing-Shan Jiang
  • Hai-Rong FangEmail author
  • Hai-Qiang Zhang
Research Article

Abstract

Based on Lie group theory and the integration of configuration, a class of 3T2R (T denotes translation and R denotes rotation) parallel mechanisms with large output rotational angles is synthesized through a five degree of freedom single limb evolving into two five degree of freedom limbs and constraint coupling of each kinematics chain. A kind of 3T2R parallel mechanisms with large rotational angles was selected from type synthesis of 3T2R parallel mechanisms, inverse kinematics and velocity Jacobian matrix of the parallel mechanism are established. The performance indices including workspace, rotational capacity, singularity and dexterity of the parallel mechanism are analyzed. The results show that the parallel mechanism has not only large output rotational angles but also better dexterity.

Keywords

Type synthesis Lie group theory configuration evolution kinematics performance evaluation 

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Notes

Acknowledgements

This work was supported by Fundamental Research Funds for the Central Universities (No. 2018JBZ007).

References

  1. [1]
    V. Sangveraphunsiri, K. Chooprasird. Dynamics and control of a 5-DOF manipulator based on an H-4 parallel mechanism. The International Journal of Advanced Manufacturing Technology, vol. 52, no. 1–4, pp. 343–364, 2011. DOI:  https://doi.org/10.1007/s00170-010-2722-3.CrossRefGoogle Scholar
  2. [2]
    J. P. Gazeau, Z. Said, G. Ramirez-Torres. A novel 5-axis robot for printing high resolution pictures from media on 3D wide surfaces. In Proceedings of IEEE International Conference on Industrial Technology, IEEE, Gippsland, Australia, 2009. DOI:  https://doi.org/10.1109/ICIT.2009.4939735.Google Scholar
  3. [3]
    Y. M. Song, G. Dong, T. Sun, B. B. Lian. Elasto-dynamic analysis of a novel 2-DoF rotational parallel mechanism with an articulated travelling platform. Meccanica, vol. 51, no. 7, pp. 1547–1557, 2016. DOI:  https://doi.org/10.1007/s11012-014-0099-3.MathSciNetCrossRefGoogle Scholar
  4. [4]
    S. Shayya, S. Krut, O. Company, C. Baradat, F. Pierrot. A novel (3T-2R) parallel mechanism with large operational workspace and rotational capability. In Proceedings of IEEE International Conference on Robotics and Automation, IEEE, Hong Kong, China, 2014. DOI:  https://doi.org/10.1109/ICRA.2014.6907699.Google Scholar
  5. [5]
    M. T. Masouleh, C. Gosselin, M. Husty, D. R. Walter. Forward kinematic problem of 5-RPUR parallel mechanisms (3T2R) with identical limb structures. Mechanism and Machine Theory, vol. 46, no. 7, pp. 945–959, 2011. DOI:  https://doi.org/10.1016/j.mechmachtheory.2011.02.005.CrossRefzbMATHGoogle Scholar
  6. [6]
    M. T. Masouleh, C. Gosselin. Singularity analysis of 5-RPUR parallel mechanisms (3T2R). The International Journal of Advanced Manufacturing Technology, vol. 57, no. 9–12, pp. 1107–1121, 2011. DOI:  https://doi.org/10.1007/s00170-011-3349-8.CrossRefGoogle Scholar
  7. [7]
    M. T. Masouleh, M. Husty, C. Gosselin. Forward kinematic problem of 5-PRUR parallel mechanisms using study parameters. Advances in Robot Kinematics: Motion in Man and Machine. J. Lenarcic, M. M. Stanisic, Eds., Dordrecht, Netherlands: Springer, 2010. DOI:  https://doi.org/10.1007/978-90-481-9262-5_23.Google Scholar
  8. [8]
    M. H. Saadatzi, M. T. Masouleh, H. D. Taghirad. Workspace analysis of 5-PRUR parallel mechanisms. Robotics and Computer-integrated Manufacturing, vol. 28, no. 3, pp. 437–488, 2012. DOI:  https://doi.org/10.1016/j.rcim.2011.12.002.CrossRefGoogle Scholar
  9. [9]
    C. Z. Wang, Y. F. Fang, H. R. Fang. Novel 2R3T and 2R2T parallel mechanisms with high rotational capability. Robotica, vol. 35, no. 2, pp. 401–418, 2017. DOI:  https://doi.org/10.1017/S0263574715000636.CrossRefGoogle Scholar
  10. [10]
    L. Cheng, Y. F. Zhao, Y. S. Zhao. Motion control algorithm of a 5-DOF parallel machine tool. In Proceedings of IEEE International Conference on Robotics and Biomimetics (ROBIO), IEEE, Sanya, China, pp. 2194–2199, 2007. DOI:  https://doi.org/10.1109/ROBIO.2007.4522510.Google Scholar
  11. [11]
    L. Cheng, H. B. Wang, Y. S. Zhao. Analysis and experimental investigation of parallel machine tool with redundant actuation. Proceedings of the 1st International Conference on Intelligent Robotics and Applications, Springer, Wuhan, China, pp. 179–188, 2008. DOI:  https://doi.org/10.1007/978-3-540-88513-9_20.CrossRefGoogle Scholar
  12. [12]
    L. Cai. Kinematic analysis of 5-UPS parallel machine tool based on Adams. Applied Mechanics and Materials, vol. 644–650, pp. 215–219, 2014. DOI:  https://doi.org/10.4028/www.scientific.net/AMM.644-650.215.CrossRefGoogle Scholar
  13. [13]
    Y. M. Song, J. T. Zhang, B. B. Lian, T. Sun. Kinematic calibration of a 5-DoF parallel kinematic machine. Precision Engineering, vol. 45, pp. 242–261, 2016. DOI:  https://doi.org/10.1016/j.precisioneng.2016.03.002.CrossRefGoogle Scholar
  14. [14]
    F. G. Xie, X. J. Liu, J. S. Wang, M. Wabner. Kinematic optimization of a five degrees-of-freedom spatial parallel mechanism with large orientational workspace. Journal of Mechanisms and Robotics, vol. 9, no. 5, Article number 051005, 2017. DOI:  https://doi.org/10.1115/1.4037254.
  15. [15]
    F. G. Xie, X. J. Liu, X. Luo, M. Wabner. Mobility, singularity, and kinematics analyses of a novel spatial parallel mechanism. Journal of Mechanisms and Robotics, vol. 8, no. 6, Article number 061022, 2016. DOI:  https://doi.org/10.1115/1.4034886.
  16. [16]
    X. D. Jin, Y. F. Fang, H. B. Qu, S. Guo. A class of novel 2T2R and 3T2R parallel mechanisms with large decoupled output rotational angles. Mechanism and Machine Theory, vol. 114, pp. 156–169, 2017. DOI:  https://doi.org/10.1016/j.mechmachtheory.2017.04.003.CrossRefGoogle Scholar
  17. [17]
    F. G. Xie, X. J. Liu, Z. You, J. S. Wang. Type synthesis of 2T1R-type parallel kinematic mechanisms and the application in manufacturing. Robotics and Computer-integrated Manufacturing, vol. 30, no. 1, pp. 1–10, 2014. DOI:  https://doi.org/10.1016/j.rcim.2013.07.002.CrossRefGoogle Scholar
  18. [18]
    Y. Lu, R. F. Bo, P. S. Feng, R. Q. Li. Mechanism design and kinematics analysis of five-axis linkage hybrid kinematics machine with large pendulum angle. Journal of Mechanical Transmission, vol. 40, no. 10, pp. 38–42, 2016. DOI:  https://doi.org/10.16578/j.issn.1004.2539.2016.10.008. (in Chinese)Google Scholar
  19. [19]
    W. Y. Lin, B. Li, X. J. Yang, D. Zhang. Modelling and control of inverse dynamics for a 5-DOF parallel kinematic polishing machine. International Journal of Advanced Robotic Systems, vol. 10, no. 8, Article number 314, 2013. DOI:  https://doi.org/10.5772/54966.
  20. [20]
    S. Krut, O. Company, S. Rangsri, F. Pierrot. Eureka: A new 5-degree-of-freedom redundant parallel mechanism with high tilting capabilities. In Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, IEEE, Las Vegas, USA, vol. 3, pp. 3575–3580, 2003. DOI:  https://doi.org/10.1109/IROS.2003.1249710.
  21. [21]
    C. X. Fan, H. Z. Liu, Y. B. Zhang. Type synthesis of 2T2R, 1T2R and 2R parallel mechanisms. Mechanism and Machine Theory, vol. 61, pp. 184–190, 2013. DOI:  https://doi.org/10.1016/j.mechmachtheory.2012.10.006.
  22. [22]
    C. Gosselin, J. Angeles. Singularity analysis of closed-loop kinematic chains. IEEE Transactions on Robotics and Automation, vol. 6, no. 3, pp. 281–290, 1990. DOI:  https://doi.org/10.1109/70.56660.CrossRefGoogle Scholar
  23. [23]
    M. Mazare, M. Taghizadeh, M. R. Najafi. Kinematic analysis and design of a 3-DOF translational parallel robot. International Journal of Automation and Computing, vol. 14, no. 4, pp. 432–441, 2017. DOI:  https://doi.org/10.1007/s11633-017-1066-y.CrossRefGoogle Scholar
  24. [24]
    H. Q. Zhang, H. R. Fang, B. S. Jiang, S. G. Wang. Dynamic performance evaluation of a redundantly actuated and over-constrained parallel manipulator. International Journal of Automation and Computing, vol. 16, no. 3, pp. 274–285, 2019. DOI:  https://doi.org/10.1007/s11633-018-1147-6.CrossRefGoogle Scholar

Copyright information

© Institute of Automation, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mechanical, Electronic and Control EngineeringBeijing Jiaotong UniversityBeijingChina

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