Skip to main content

Inverse Dynamic Modeling of Two Unsymmetrical 3UPU Parallel Manipulators

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5928))

Abstract

The inverse dynamic of two 3UPU parallel manipulators (PM) are analyzed in this paper. The first 3UPU PM has three translational degree of freedom (DOF) and the second 3UPU PM has two translational and one rotational DOF. First, the mobility of the two UPU PMs is analyzed. Second, the constrained forces/torques in UPU-type legs are determined, and the 6×6 Jacobian matrices of the two 3UPU PMs are derived by considering the constrained forces/torques. Third, based on the principle of virtual work, the dynamic is solved with the active forces and the constrained forces/torques derived. Finally, an analytic solved example for the 3UPU PM is given.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Merlet, J.-P.: Parallel Robots. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  2. Dasgupta, B., Mruthyunjaya, T.S.: Closed-Form Dynamic Equations of the General Stewart Platform through the Newton–Euler Approach. Mechanism and Machine Theory 33(7), 993–1012 (1999)

    Article  MathSciNet  Google Scholar 

  3. Joshi, S.A., Tsai, L.W.: Jacobian Analysis of Limited-DOF Parallel Manipulators. ASME Journal of Mechanical Design 124(2), 254–258 (2002)

    Article  Google Scholar 

  4. Tsai, L.W.: Solving the inverse Dynamic of a Stewart-Gough manipulator by the principle of virtual work. Trans. of the ASME, Journal of Mechanical Design 122(1), 3–9 (2000)

    Article  Google Scholar 

  5. Wang, J., Gosselin, C.M.: A new approach for the dynamic analysis of parallel manipulators. Multibody System Dynamic 2(3), 317–334 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  6. Rico, J.M., Duffy, J.: Forward and Inverse Acceleration Analyses of In-Parallel Manipulators. Trans. of the ASME, Journal of Mechanical Design 122, 299–303 (2000)

    Article  Google Scholar 

  7. Gallardo, J., Rico, J.M., Frisoli, A., Checcacci, D., Bergamasco, M.: Dynamic ofparallel manipulators by means of screw theory. Mechanism and MachineTheory 38(11), 1113–1131

    Google Scholar 

  8. Di Gregorio, R., Parenti-Castelli, V.: Dynamic of a class of parallel wrists. Journal of Mechanical Design, Transactions of the ASME 126(3), 436–441 (2004)

    Article  Google Scholar 

  9. Di Gregorio, R.: Dynamic model and performances of 2-DOF manipulators. Robotica 24(1), 51–60 (2006)

    Article  MathSciNet  Google Scholar 

  10. Sokolov, A., Xirouchakis, P.: Dynamic analysis of a 3-DOF parallel manipulator with R–P–S joint structure. Mechanism and Machine Theory 42(5), 541–557 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Zhang, D., Gosselin, C.M.: Kinetostattic modeling of N-DoF parallel mechanisms with passive constraining leg and prismatic actuators. Trans. of the ASME Journal of Mechanical Design 123(3), 375–381 (2001)

    Article  Google Scholar 

  12. Yi, L., Bo, H.: Solving driving forces of 2(3-SPR) serial-parallel manipulator by CAD variation geometry approach. Transaction ASME Journal of Mechanical Design 128(6), 1349–1351 (2006)

    Article  Google Scholar 

  13. Bo, H., Yi, L.: Analyses of kinematics, statics, and workspace of a 3-RRPRR parallel manipulator and its three isomeric mechanisms. Journal of Mechanical Engineering Science (Proc. IMechE Part C) 222(9), 1829–1837 (2008)

    Google Scholar 

  14. Yi, L., Bo, H.: Unification and simplification of velocity/acceleration of limited-dof parallel manipulators with linear active legs. Mechanism and Machine Theory 43(9), 1112–1128 (2008)

    Article  MATH  Google Scholar 

  15. Taghirad, H.D., Nahon, M.: A Dynamic analysis of a macro-micro redundantly actuated parallel manipulator. Advanced Robotics 22(9), 949–981 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hu, B., Lu, Y., Mao, H. (2009). Inverse Dynamic Modeling of Two Unsymmetrical 3UPU Parallel Manipulators. In: Xie, M., Xiong, Y., Xiong, C., Liu, H., Hu, Z. (eds) Intelligent Robotics and Applications. ICIRA 2009. Lecture Notes in Computer Science(), vol 5928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10817-4_58

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-10817-4_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10816-7

  • Online ISBN: 978-3-642-10817-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics