Skip to main content

Workspace and Singularity Zones Analysis of a Robotic System for Biosamples Aliquoting

  • Conference paper
  • First Online:
Advances in Service and Industrial Robotics (RAAD 2021)

Abstract

This paper discusses the use of optimization algorithms to solve the problem of determining the workspace for a new robot for biological material aliquoting. The proposed robot is based on a parallel Delta-like kinematic architecture. A method for approximating the set of solutions to a system of nonlinear inequalities describing constraints on the geometric parameters of the robot is considered. Algorithms for constructing the workspace are synthesized. The workspace of the robot is obtained, considering the singularity zones of the robot, using a method based on the analysis of the Jacobian matrix of the mechanism. The analysis of changes in the volume of the workspace, considering the constancy of the determinant of the Jacobian matrix, depending on the options for solving the ambiguous inverse kinematics of the robot. The simulation results are presented.

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

Access this chapter

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 EPUB and 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
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Similar content being viewed by others

References

  1. https://www.pharmaceutical-networking.com/wp-content/uploads/2014/11/PIRO-the-quality-Pipetting-robot.pdf Accessed 31 Jan 2021

  2. https://lifesciences.tecan.com/products/liquid_handling_and_automation/freedom_evo_series?p=tab–2 - Freedom EVO® series. Accessed 31 Jan 2021

  3. https://www.hamiltoncompany.com/automated-liquid-handling/platforms/microlab-star Accessed 31 Jan 2021

  4. Laribi, M.A., Romdhane, L., Zeghloul, S.: Advanced synthesis of the DELTA parallel robot for a specified workspace. In: Wu, H. (ed.) Towards New Applications. IntechOpen (2008)

    Google Scholar 

  5. Curcio, E.M., Carbone, G.: Design of a novel robot for upper limb rehabilitation. In: Rauter, G., Cattin, P.C., Zam, A., Riener, R., Carbone, G., Pisla, D. (eds.) New Trends in Medical and Service Robotics. Mechanisms and Machine Science, pp. 12–20. Springer, Cham (2021)

    Google Scholar 

  6. Williams II, R.L.: The delta parallel robot: kinematics solutions. Internet Publication www.ohio.edu/people/williar4/html/pdf/DeltaKin.pdf

  7. Merlet, J.: Interval analysis and robotics. Robot. Res. 66, 147–156 (2010)

    Google Scholar 

  8. Evtushenko, Y., Posypkin, M., Rybak, L., Turkin, A.: Approximating a solution set of non-linear inequalities. J. Glob. Optim. 7, 129–145 (2018)

    Google Scholar 

  9. Malyshev, D., Posypkin, M., Rybak, L., Usov, A.: Approaches to the determination of the working area of parallel robots and the analysis of their geometric characteristics. Eng. Trans. 67(3), 333–345 (2019)

    Google Scholar 

  10. Evtushenko, Y., Posypkin, M., Turkin, A., Rybak, L.: The non-uniform covering approach to manipulator workspace assessment. In: Proceedings of the 2017 IEEE Russia Section Young Researchers in Electrical and Electronic Engineering Conference, ElConRus, IEEE, pp. 386–389 (2017)

    Google Scholar 

  11. Rybak, L., Posypkin, M., Turkin, A.: Method for approximating the workspace of the parallel robot. Int. J. Pharm. Technol. 8(4), 25045–25055 (2016)

    Google Scholar 

  12. Ceccarelli, M., Carbone, G., Ottaviano, E.: Multi criteria optimum design of manipulators. Bull. Pol. Acad. Sci. Tech. Sci. 53(1), 9–18 (2019)

    Google Scholar 

  13. Lara-Molina, F., Dumur, D.: A fuzzy approach for the kinematic reliability assessment of robotic manipulators. Robotica 1–15 (2021). https://doi.org/10.1017/s0263574721000187

  14. Zhou, Y., Niu, J., Liu, Z., Zhang, F.: A novel numerical approach for workspace determination of parallel mechanisms. J. Mech. Sci. Technol. 31(6), 3005–3015 (2017)

    Google Scholar 

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

    Google Scholar 

  16. Gherman, B., Birlescu, I., Plitea, N., Carbone, G., Tarnita, D., Pisla, D.: On the singularity-free workspace of a parallel robot for lower-limb rehabilitation’. Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 20(4), 383–391 (2019)

    Google Scholar 

  17. Rybak, L., Malyshev, D., Gaponenko, E.: Optimization algorithm for approximating the solutions set of nonlinear inequalities systems in the problem of determining the robot workspace. Adv. Optim. Appl. 1340, 27–37 (2021)

    Google Scholar 

Download references

Acknowledgements

This work was supported by the state assignment of Ministry of Science and Higher Education of the Russian Federation under Grant FZWN-2020-0017.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Malyshev, D., Rybak, L., Carbone, G., Semenenko, T., Nozdracheva, A. (2021). Workspace and Singularity Zones Analysis of a Robotic System for Biosamples Aliquoting. In: Zeghloul, S., Laribi, M.A., Sandoval, J. (eds) Advances in Service and Industrial Robotics. RAAD 2021. Mechanisms and Machine Science, vol 102. Springer, Cham. https://doi.org/10.1007/978-3-030-75259-0_4

Download citation

Publish with us

Policies and ethics