Skip to main content

Modeling and Performance Analysis of Planar Parallel Manipulators

  • Conference paper
  • First Online:

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 639))

Abstract

Recently, the Parallel Manipulators (PMs) attract the attention of the researchers. This research work is concerned with the Planar Parallel Manipulators (PPMs). An investigation led to a comparative study between the 2-RRR PPM and 3-RRR PPM. The 2-RRR non redundant PPM and 3-RRR redundant PPM, with 2-degree-of freedom, are considered. These two PPMs are introduced with their mechanism construction. The workspace, different properties and performance indices are carried out. Investigation of characteristics of these manipulators should go through the complexity of the direct and inverse kinematics problems, which are solved using the suggested and proper geometrical equations. The dexterous workspace is geometrically obtained where the End-Effector (EE) can reach and illustrate some of its properties. The Jacobian matrix for these manipulators is essential method to complete this analysis. This work is terminated by two characteristic maps of these two manipulators, which are dexterity and manipulability indices that were covering the workspace.

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   259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
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

References

  1. Patel, Y.D., George, P.M.: Parallel manipulators applicationsa survey. Mod. Mech. Eng. 2(03), 57 (2012)

    Article  Google Scholar 

  2. Pandilov, Z., Dukovski, V.: Comparison of the characteristics between serial and parallel robots. Acta Technica Corviniensis-Bull. Eng. 7(1) (2014)

    Google Scholar 

  3. Blan, R., Mties, V., Stan, S., Lpuan, C.: On the Control of a 3-RRR Planar Parallel Minirobot. Mecatronica (4) (2004)

    Google Scholar 

  4. Tsai, L.W.: Robot Analysis: The Mechanics of Serial and Parallel Manipulators. Wiley (1999)

    Google Scholar 

  5. Dash, A.K., Chen, I.M., Yeo, S.H., Yang, G.: Task-oriented configuration design for reconfigurable parallel manipulator systems. Int. J. Comput. Integr. Manuf. 18(7), 615–634 (2005)

    Article  Google Scholar 

  6. Maciejewski, A.A., Klein, C.A.: Obstacle avoidance for kinematically redundant manipulators in dynamically varying environments. Int. J. Robot. Res. 4(3), 109–117 (1985)

    Article  Google Scholar 

  7. Nakamura, Y., Hanafusa, H., Yoshikawa, T.: Task-priority based redundancy control of robot manipulators. Int. J. Robot. Res. (1987)

    Google Scholar 

  8. Wang, J., Gosselin, C.M.: Kinematic analysis and design of kinematically redundant parallel mechanisms. Trans.-Am. Soc. Mech. Eng. J,. Mech. Des. 126(1) (2004)

    Google Scholar 

  9. Shang, W., Cong, S.: Dexterity and adaptive control of planar parallel manipulators with and without redundant actuation. J. Comput. Nonlinear Dyn. 10(1), 011002 (2015)

    Article  Google Scholar 

  10. http://www.mecademic.com/DexTAR.html

  11. Cheng, H., Yiu, Y.K., Li, Z.: Dynamics and control of redundantly actuated parallel manipulators. IEEE/ASME Trans. Mechatron. 8(4) (2003)

    Google Scholar 

  12. Shayya, S., Krut, S., Baradat, C., Pierrot, F.: Dynamic analysis of 4 degrees of freedom redundant parallel manipulator. In: Advances in Robot Kinematics, pp. 545–553. Springer (2014)

    Google Scholar 

  13. Shang, W., Cong, S., Kong, F.: Identification of dynamic and friction parameters of a parallel manipulator with actuation redundancy. Mechatronics 20(2) (2010)

    Google Scholar 

  14. Paccot, F., Andreff, N., Martinet, P.: A review on the dynamic control of parallel kinematic machines: theory and experiments. Int. J. Robot. Res. 28(3), 395–416 (2009)

    Article  Google Scholar 

  15. Ghorbel, F.H., Chtelat, O., Gunawardana, R., Longchamp, R.: Modeling and set point control of closed-chain mechanisms: theory and experiment. IEEE Trans. Control Syst. Technol. 8(5), 801–815 (2000)

    Article  Google Scholar 

  16. Shang, W.W., Cong, S., Li, Z.X., Jiang, S.L.: Augmented nonlinear PD controller for a redundantly actuated parallel manipulator. Adv. Robot. (2009)

    Google Scholar 

  17. Gosselin, C., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990)

    Article  Google Scholar 

  18. Yoshikawa, T.: Manipulability of robotic mechanisms. Int. J. Robot. Res. 4(2), 3–9 (1985)

    Article  Google Scholar 

  19. Zhang, P., Yao, Z., Du, Z.: Global performance index system for kinematic optimization of robotic mechanism. Contributed by the Mechanisms and Robotics Committee of ASME for Publication in the Journal of Mechanical Design

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amr Abo Salem .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Salem, A.A., Khedr, T.Y., Ghazaly, G.E., Mahmoud, M.I. (2018). Modeling and Performance Analysis of Planar Parallel Manipulators. In: Hassanien, A., Shaalan, K., Gaber, T., Tolba, M. (eds) Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2017. AISI 2017. Advances in Intelligent Systems and Computing, vol 639. Springer, Cham. https://doi.org/10.1007/978-3-319-64861-3_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-64861-3_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64860-6

  • Online ISBN: 978-3-319-64861-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics