Skip to main content

Configuring a Class of Machines Based on Reconfigurable 2DOF Planar Parallel Mechanism

  • Conference paper
  • First Online:
Current Problems in Experimental and Computational Engineering (CNNTech 2021)

Abstract

The parallel 2DOF (Degrees of Freedom) mechanism presented in this paper has been the basis of much research by many authors. There are many significant results for the presented mechanism, and some of them are reported in this paper. The main goal of the research regarding the parallel mechanism is to create a hardware and software system that will be used to configure machine tools with three or more DOFs. The software system consists of two parts. One part is a set of applications intended for machine analysis and defining optimal configuration, and the other part is a control system of the machine adapted to the hardware of the machine, its configuration and purpose. For the presented mechanism, the kinematic model of the mechanism is described first. Based on the kinematic model, equations representing solutions of kinematics problems are derived. The derived equations are in a generalized form, with some variable parameters of the machine, and in such a form they correspond to every possible configuration of the reconfigurable mechanism. The equations are initially used to analyze some basic configurations, and then to analyze some configurations that have not been analyzed and presented so far. Also, equations in this form that are applicable for all possible configurations of the mechanism, are part of both parts of the software system. The final result of the presented procedures is one machine that has optimized parameters in accordance with the appropriate production process and with a configured control system that corresponds to the configuration of the machine.

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

Access this chapter

Subscribe and save

Springer+ Basic
€32.70 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Austria)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 128.39
Price includes VAT (Austria)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 175.99
Price includes VAT (Austria)
  • 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

Institutional subscriptions

Similar content being viewed by others

References

  1. Tanev, T.K.: Kinematics of a hybrid (parallel-serial) robot manipulator. Mech. Mach. Theory 35(9), 1183–1196 (2000)

    Article  Google Scholar 

  2. Wu, J., Wang, J., Li, T., Wang, L.: Dynamic analysis of the 2DOF parallel manipulatorpf a heavy duty machine tool. Int. J. Adv. Manuf. Technol. 34(3–4), 413–420 (2007)

    Article  Google Scholar 

  3. Stan, S.D., Maties, V., Balan, R.: Optimal design of parallel kinematics machines with 2 degrees of freedom, Parallel Manipulators, towards New Applications, Huapeng Wu, IntechOpen (2008)

    Google Scholar 

  4. Jin, Y., Chanel, H., Paccot, F.: Parallel Robots. In: Nee, A. (Eds.) Handbook of Manufacturing Engineering and Technology. Springer, London (2015)

    Google Scholar 

  5. Simaan, N.: Analysis and Synthesis of Parallel Robots for Medical Applications, Research thesis, The Technion—Israel Institute of Technology (2009)

    Google Scholar 

  6. Miller, K.: Optimal design and modeling of spatial parallel manipulators. Int. J. Robot. Res. 23(2), 127–140 (2004)

    Article  Google Scholar 

  7. Zhenqi, Z., Jinsong, L., Zhongxue, G., Hui, Z.: Kinematic and dynamic modelling for real-time control of Tau parallel robot. Mech. Mach. Theory 40(9), 1051–1067 (2005)

    Article  Google Scholar 

  8. Majou, F., Wenger, P., Chablat, D.: Design of 2-Dof Parallel Mechanisms for Machining Applications. In: Lenarčič, J., Thomas, F. (eds.) Advances in Robot Kinematics, pp. 319–328. Springer, Dordrecht (2002)

    Chapter  Google Scholar 

  9. Wu, J., Wang, J., Li, T., Wang, L.: Analysis and application of a 2-DOF planar parallel mechanism. ASME J. Mech. Des. 129(4), 434–437 (2007)

    Article  Google Scholar 

  10. Lee, J.H., Nam, Y.J., Park, M.K.: Kinematics and optimization of a 2-DOF parallel manipulator with a passive constraining leg and linear actuators. J. Mech. Sci. Technol. 24, 19–23 (2010)

    Article  Google Scholar 

  11. Lee, J.J., Dong, Y., Jeon, Y.H., et al.: Design of a planar 3-DOF parallel micromanipulator. J. Mech. Sci. Technol. 27, 2985–2990 (2013)

    Article  Google Scholar 

  12. Wu, J., Wang, J., Wang, L.: Optimal kinematic design and application of a redundantly actuated 3DOF planar parallel manipulator. ASME. J. Mech. Des. 130(5): 054503 (2008)

    Google Scholar 

  13. Wu., Jun, 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)

    Google Scholar 

  14. Ruggiu, M., Kong, X.: Reconfiguration analysis of a 3-DOF parallel mechanism. Robotics 8(3) (2019)

    Google Scholar 

  15. Wang, L., Xie, F., Liu, X., Wang, J.: Kinematic calibration of the 3-DOF parallel module of a 5-axis hybrid milling machine. Robotica 29(4), 535–546 (2011)

    Article  Google Scholar 

  16. Milutinovic, D., Slavkovic, N., Kokotovic, B., Milutinovic, M., Zivanovic, S., Dimic, Z.: Kinematic modeling of reconfigurable parallel robots based on DELTA concept. J. Prod. Eng. 15(2), 71–74 (2012). ISSN 1821-4932. http://www.jpe.ftn.uns.ac.rs/papers/2012/no2/15-Milutinovic1-JPE.pdf

  17. Yuyao, S., Jun, W., Guang, Y., Tian, H.: Dynamic characteristic prediction of a 5-DOF hybrid machine tool by using scale model considering the geometric distortion of bearings. Mech. Mach. Theory 145, 103679 (2020)

    Google Scholar 

  18. Xie, F., Liu, X., Zhang, H., et al.: Design and experimental study of the SPKM165, a five-axis serial-parallel kinematic milling machine. Sci. China Technol. Sci. 54, 1193–1205 (2011)

    Article  Google Scholar 

  19. Weiyao, B., Fugui, X., Xin-Jun, L., Xuan, L.: Optimal design of a novel 4-degree-of-freedom parallel mechanism with flexible orientation capability. Proc. Inst. Mech. Eng. Part B J. Eng. Manuf. 233(2), 632–642 (2019)

    Article  Google Scholar 

  20. You, W., Zhen, Y., Zhuang, F., Jian, F. and Hui, Z.: Kinematics and dynamics analysis of a novel five-degrees-of-freedom hybrid robot. Int. J. Adv. Robot. Syst. 14(3), (2017)

    Google Scholar 

  21. Ning, L., Junjun, W.: Kinematics and application of a hybrid industrial robot—delta-RST. Sens. Transd. 169(4), 186–192 (2014)

    Google Scholar 

  22. Yeshmukhametov, A., Kalimoldayev, M., Mamyrbayev, O. and Amirgaliev, Y.: Design and kinematics of serial/parallel hybrid robot. In: 3rd International Conference on Control, Automation and Robotics (ICCAR), Nagoya, Japan, pp. 162–165 (2017)

    Google Scholar 

  23. Hesselbach, J., Hoffmeister, H.W., Loohß, T., et al.: Parallel kinematic concept for stationary high performance cutting in wood machining centers. Prod. Eng. Res. Devel. 1, 205–212 (2007)

    Article  Google Scholar 

  24. Koren, Y., Shpitalni, M.: Design of reconfigurable manufacturing system. J. Manuf. Syst. 29(4), 130–141 (2010)

    Article  Google Scholar 

  25. Landers, R.G., Min, B.K., Koren, Y.: Reconfigurable machine tools. CIRP Ann. 50(1), 269–274 (2001)

    Article  Google Scholar 

  26. Vasilic, G., Zivanovic, S., Kokotovic, B.: Modelling and analysis of 3-axis reconfigurable hybrid kinematics mechanism with translatory actuated joints. In: Proceedings of 5th International Conference on Advanced Manufacturing Engineering and Technologies. NEWTECH. Lecture Notes in Mechanical Engineering. Springer, Cham (2017)

    Google Scholar 

  27. Vasilic, G., Zivanovic, S., Kokotovic, Dimic, Z.: Configuring and analysis of a class of generalized reconfigurable 2-axis parallel kinematic machine. J. Mech. Sci. Technol. 33, 3407–3421 (2019)

    Google Scholar 

  28. Glavonjic, M., Milutinovic, D., Zivanovic, S., Dimic, Z., Kvrgic, V.: Desktop 3-axis parallel kinematic milling machine. Int. J. Adv. Manuf. Technol. 46, 51–60 (2010)

    Article  Google Scholar 

  29. Zivanovic, S., Glavonjic, M., Dimic, Z.: Methodology for configuring desktop 3-axis parallel kinematic machine. FME Trans. 37, 107–115 (2009)

    Google Scholar 

  30. Milutinovic, D., Glavonjic, M., Kvrgic, V., Zivanovic, S.: A new 3-DOF spatial parallel mechanism for milling machines with long X travel. CIRP Ann. 54(1), 345–34 (2005)

    Google Scholar 

  31. http://microfabricator.com/articles/view/id/52d324e59aad9d2f3f000015/reprap-tuga-noncartesian-3d-printer-from-portugal (2021)

  32. Zheng, X.Z., Bin, H.Z., Luo, Y.G.: Kinematic analysis of a hybrid serial-parallel manipulator. Int. J. Adv. Manuf. Technol. 23(11−12), 925–930 (2004)

    Google Scholar 

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

    Google Scholar 

  34. Vasilic, G., Zivanovic, S.: Configuring and analysis of complex multi-axis reconfigurable machine for wire cutting process. Mech. Mach. Theory 149, 103833 (2020)

    Google Scholar 

  35. Slavkovic, N., Zivanovic, S., Kokotovic, B., Dimic, Z., Milutinovic, M.: Simulation of compensated tool path through virtual robot machining model. J. Braz. Soc. Mech. Sci. Eng. 42(374), 1–17

    Google Scholar 

  36. Rakic, A., Zivanovic, S., Dimic, Z., Knezevic, M.: Digital twin control of multi-axis wood CNC machining center based on LinuxCNC. BioResources 16(1), 1115–1130

    Google Scholar 

Download references

Acknowledgements

The presented research was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia by contract no. 451-03-9/2021-14/200105 dated 5 February 2021.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Goran Vasilic .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 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

Vasilic, G., Zivanovic, S., Kokotovic, B., Dimic, Z., Milutinovic, M. (2022). Configuring a Class of Machines Based on Reconfigurable 2DOF Planar Parallel Mechanism. In: Mitrovic, N., Mladenovic, G., Mitrovic, A. (eds) Current Problems in Experimental and Computational Engineering. CNNTech 2021. Lecture Notes in Networks and Systems, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-86009-7_10

Download citation

Publish with us

Policies and ethics