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Nonlinear Dynamics

, Volume 74, Issue 1–2, pp 227–235 | Cite as

A study on the effect of structure parameters on the dynamic characteristics of a PRRRP parallel manipulator

  • Jun Wu
  • Liping Wang
  • Liwen Guan
Original Paper

Abstract

This paper studies the effect of structure parameters on the dynamic characteristics of a planar PRRRP parallel manipulator. The stiffness model is derived by considering the effect of joint. Based on the stiffness matrix, the vibration equation of this parallel manipulator is investigated to study the dynamic characteristics. The natural frequency is computed, and the effect of Y and Z coordinate on the natural frequency is discussed. Moreover, the sensitivity model of the dynamic characteristic to critical structure parameters is proposed. The thickness of column and leg, the radial stiffness of bearing, and the lumped mass on the end-effector are determined based on the natural frequency and sensitivity index. The results are useful to the structure design of parallel manipulators.

Keywords

Dynamic characteristics Parallel manipulator Natural frequency Sensitivity 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 51105225, 51225503) and a Foundation for the Author of National Excellent Doctoral Dissertation of PR China (201137), the National Science and Technology Specific Projects (2013ZX04004021), and the Fund of State Key Laboratory of Tribology (No. SKLT11C01).

References

  1. 1.
    Harib, K., Srinivasan, K.: Kinematic and dynamic analysis of Stewart platform-based machine tool structures. Robotica 21(5), 541–554 (2003) CrossRefGoogle Scholar
  2. 2.
    Wu, J., Wang, J., Wang, L., Li, T.: Dynamics and control of a planar 3-DOF parallel manipulator with actuation redundancy. Mech. Mach. Theory 44(4), 835–849 (2009) CrossRefzbMATHGoogle Scholar
  3. 3.
    Wang, J., Wu, J., Wang, L., Li, T.: Simplified strategy of the dynamic model of a 6-UPS parallel kinematic machine for real-time control. Mech. Mach. Theory 42(9), 1119–1140 (2007) MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Kim, H.S., Tsai, L.-W.: Kinematic synthesis of a spatial 3-RPS parallel manipulator. J. Mech. Des. 125(1), 92–97 (2003) CrossRefGoogle Scholar
  5. 5.
    Muller, A.: Internal preload control of redundantly actuated parallel manipulators-its application to backlash avoiding control. IEEE Trans. Robot. 21(4), 668–677 (2005) CrossRefGoogle Scholar
  6. 6.
    Liu, X.J., Wang, Q.M., Wang, J.S.: Kinematics, dynamics and dimensional synthesis of a novel 2-DoF translational manipulator. J. Intell. Robot. Syst. 41(4), 205–224 (2004) CrossRefGoogle Scholar
  7. 7.
    Liu, X.J., Guan, L.W., Wang, J.S.: Kinematics and closed optimal design of a kind of PRRRP parallel manipulator. J. Mech. Des. 129(5), 558–563 (2007) CrossRefGoogle Scholar
  8. 8.
    Hao, Q., Guan, L.W., Wang, J.S., et al.: GA-based dynamic manipulability optimization of a 2-DOF planar parallel manipulator. In: IEEE Conference on Robotics, Automation and Mechatronics, Singapore, vol. 7, pp. 46–51 (2010) Google Scholar
  9. 9.
    Dwivedy, S.K., Eberhard, P.: Dynamic analysis of flexible manipulators, a literature review. Mech. Mach. Theory 41(7), 749–777 (2006) MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Huang, T., Zhao, X.Y., Whitehouse, D.J.: Stiffness estimation of a tripod-based parallel kinematic machine. IEEE Trans. Robot. Autom. 18(1), 50–58 (2002) CrossRefGoogle Scholar
  11. 11.
    Benosman, M., Boyer, F., Vey, G.L., Primautt, D.: Flexible links manipulators: from modelling to control. J. Intell. Robot. Syst. 34(4), 381–414 (2002) CrossRefzbMATHGoogle Scholar
  12. 12.
    Zhao, Y.J.: Dynamic design theory and methodology of the high-speed and light-weight parallel robot. Ph.D. dissertation, Tianjin University (2006) Google Scholar
  13. 13.
    Kang, B., Mills, J.K.: Dynamic modeling and vibration control of high speed planar parallel manipulator. In: IEEE International Conference on Intelligent Robots and Systems, Maui Hawaii, USA, pp. 1287–1292 (2001) Google Scholar
  14. 14.
    Fattah, A., Angeles, J., Misra, A.K.: Dynamics of a 3-DOF spatial parallel manipulator with flexible links. In: IEEE International Conference on Robotics and Automation, Nagoya, Japan, pp. 627–633 (1995) Google Scholar
  15. 15.
    Wang, X.Y., Mills, J.: Dynamic modeling of a flexible-link planar parallel platform using a substructuring approach. Mech. Mach. Theory 41(6), 671–687 (2006) CrossRefzbMATHGoogle Scholar
  16. 16.
    Zhang, X.P., Mills, J., Cleghorn, W.L.: Vibration control of elastodynamic response of a 3-PRR flexible parallel manipulator using PZT transducers. Robotica 26(5), 655–665 (2008) CrossRefGoogle Scholar
  17. 17.
    Zhang, H.: Analysis and experiments of stiffness and dynamics for hybrid machine tools. Ph.D. dissertation, Tsinghua University (2004) Google Scholar
  18. 18.
    Wu, J., Wang, J.S., Wang, L.P., Li, T.M., You, Z.: Study on the stiffness of a 5-DOF hybrid machine tool with actuation redundancy. Mech. Mach. Theory 44(2), 289–305 (2009) CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.State Key Laboratory of Tribology and Institute of Manufacturing Engineering, Department of Mechanical EngineeringTsinghua UniversityBeijingChina
  2. 2.Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and ControlBeijingChina

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