Skip to main content

A Delta-CU -- Kinematic Analysis and Dimension Design

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10463))

Abstract

According to the topological structure design method for parallel mechanism (PM) based on the position and orientation characteristics (POC) equation, a so-called Delta-CU, 2-R//R//P(4R)//R⊕1-RSS PM is first presented. It is proved that the PM can achieve three-translation output. Second, both the forward and inverse solutions for the position analysis are derived. Besides, the workspace analysis is then performed based on the inverse position equations. Furthermore, the matching relationship among \( (R - r), \) \( l_{1} \) and \( l_{2} \) is obtained to ensure its maximum workspace. The PM has the advantages of simple structure, easy assembly and maintenance, etc., and can replace the Delta PM. This work lays a foundation for the dimension optimization, dynamic analysis and the prototype design of the Delta-CU PM.

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   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Clavel, R.: Device for displacing and positioning an element in space. EP0250470 B1, Europe. 17 July 1991

    Google Scholar 

  2. Feng, L., Zhang, G., Gong, Z., et al.: Research and development of Delta series parallel robot. Robot (3), 375–384 (2014)

    Google Scholar 

  3. Gao Xiulan, L., Kaijiang, W.J.: Workspace resolution and dimensional synthesis on delta parallel mechanism. J. Agric. Mach. 39(5), 146–149 (2008)

    Google Scholar 

  4. Zhang, L., Liu, X.: Geometry solving of maximum inscribed space on a parallel mechanism. Mach. Des. Res. (1), 20–22 (2002)

    Google Scholar 

  5. Yan, B., Liu, X., et al.: Study on workspace of 3-UPS parallel robot. Comb. Mach. Tool Autom. Manuf. Tech. (6), 3841 (2012)

    Google Scholar 

  6. Romdhane, L.: Design and analysis of a hybrid serial-parallel manipulator. Mech. Mach. Theory 34(7), 1037–1055 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Ray, L., Blanpied, G.S., Coker, W.R.: Design and singularity analysis of a 3-translational-DOF in-parallel manipulator. J. Mech. Des. 124(3), 419–426 (2002)

    Article  Google Scholar 

  8. Zhao, J., Zhu, Y.: Geometric solution for direct kinematics of delta parallel robot. J. Harbin Inst. Technol. 35, 25–27 (2003)

    Google Scholar 

  9. Zhang, L.: Integrated Optimal Design of Delta Robot using Dynamic Performance Indices. Doctoral Dissertation of Tianjin University, Tianjin (2011)

    Google Scholar 

  10. Codourey, A.: Dynamic modeling and mass matrix evaluation of the DELTA parallel robot for axes decoupling control. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 1211–1218 (1996)

    Google Scholar 

  11. Alain, C.: Dynamic modeling of parallel robots for computed-torque control implementation. Int. J. Robot. Res. 17(2), 1325–1336 (1998)

    Google Scholar 

  12. Stamper, E.R., Tsai, L.-W., Walsh, G.C.: Optimization of a three DOF translational platform for well-conditioned workspace. In: IEEE International Conference on Robotics and Automation, pp. 3250–3255 (1997)

    Google Scholar 

  13. Yang, T., Liu, A., Luo, Y., Shen, H.: Theory and Application of Robot Mechanism Topology. Science Press, Beijing

    Google Scholar 

Download references

Acknowledgments

This research is sponsored by the NSFC (Nos. 51475050, 51375062) and Jiangsu Key Development Project (No. BE2015043) and Jiangsu Scientific and Technology Transformation Fund Project (No. BA2015098).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Huiping Shen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Li, J., Shen, H., Meng, Q., Deng, J. (2017). A Delta-CU -- Kinematic Analysis and Dimension Design. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10463. Springer, Cham. https://doi.org/10.1007/978-3-319-65292-4_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-65292-4_32

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65291-7

  • Online ISBN: 978-3-319-65292-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics