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Workspace Analysis of a Novel Parallel Kinematic Machine with 6 Degrees of Freedom

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Advances in Manufacturing III (MANUFACTURING 2022)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This paper presents research within are studied and applied distinct types of determination of the workspace of a 6 DOF Parallel Kinematic Machine (PKM). PKM structures assume the incorporate of flexibility and/or envelope founded in robotic architecture alongside with the rigidity and efficiency provided by the machine tools kinematics. With the help of modern techniques that are used worldwide within different applications in various fields of the industries, and it is to be studied in the early study years of Bachelor of Science the Computer Aided Design (CAD) systems proved to be the correct solution for modeling-simulate-optimize before implement the final product. In this direction the work conducted through the research of this paper uses a modern, efficient, and adequate CAD system - SolidWorks. The current research focuses on using geometrical methods of identification and evaluation of the volume for the workspace of a 6 DOF PKM.

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References

  1. Palpacelli, M.C., Carbonari, L., Palmieri, G., D’Anca, F., Landini, E., Giorgi, G.: Functional Design of a 6-DOF Platform for Micro-Positioning. Robotics 9(99) (2020)

    Google Scholar 

  2. Shimizu, Y., et al.: Design, and construction of the motion mechanism of an XY micro-stage for precision positioning. Sens. Actuators A Phys. 201, 395–406 (2013)

    Article  Google Scholar 

  3. Ahn, C., Seo, T., Kim, J., Kim, T.-W.: High-tilt parallel positioning mechanism devel-opment and cutter path simulation for laser micro-machining. Comput. Aided Des. 39, 218–228 (2007)

    Article  Google Scholar 

  4. Palmieri, G., Callegari, M., Carbonari, L., Palpacelli, M.C.: Mechanical design of a mini pointing device for a robotic assembly cell. Meccanica 50(7), 1895–1908 (2015). https://doi.org/10.1007/s11012-015-0132-1

    Article  MathSciNet  MATH  Google Scholar 

  5. Righettini, P., Strada, R., Cortinovis, F.: Modal kinematic analysis of a parallel kinematic robot with low-stiffness transmissions. Robotics 10, 132 (2021)

    Article  Google Scholar 

  6. Arrouk, K.A., Bouzgarrou, B.C., Gogu, G.: CAD based techniques for workspace analysis and representation of the 3CRS parallel manipulator. In:19th International Workshop on Robotics in Alpe-Adria-Danube Region – RAAD 2010 Budapest, Hungary, 23–25 June 2010)

    Google Scholar 

  7. Masory, O., Wang, J.: Workspace evaluation of Stewart platforms. ASME Robot. Spatial Mech. Mech. Syst. 45, 337–346 (1992)

    Google Scholar 

  8. Bonev, I.A., Ryu, J.: A geometrical method for computing the constant-orientation workspace of 6-PRRS parallel manipulators. J. Mech. Mach. Theory 36, 1–13 (2001)

    Article  Google Scholar 

  9. Pusey, J., Fattah, A., Agrawal, S., Messina, E.: Design and workspace analysis of a 6–6 cable-suspended parallel robot. J. Mech. Mach. Theory 39, 761–778 (2004)

    Article  Google Scholar 

  10. Gao, Z., Zhang, D.: Workspace representation and optimization of a novel parallel mechanism with three-degrees-of-freedom. Sustainability 3(11), 2217–2228 (2011)

    Article  Google Scholar 

  11. Guo, J., Wang, D., Fan, R., Chen, W., Zhao, G.: Kinematic calibration and error com-pensation of a hexaglide parallel manipulator. Proc. Inst. Mech. Eng. Part B J. Eng. Manuf. 233, 215–225 (2019)

    Google Scholar 

  12. Nabavi, S.N., Shariatee, M., Enferadi, J., Akbarzadeh, A.: Parametric design and multi-objective optimization of a general 6-PUS parallel manipulator. Mech. Mach. Theory 152, 103913 (2020)

    Google Scholar 

  13. Dong, W., Du, Z., Xiao, Y., Chen, X.: Development of a parallel kinematic motion simulator platform. Mechatronics 23, 154–161 (2013)

    Article  Google Scholar 

  14. Lin, L.-C., Tsay, M.-U.: Modeling and control of micropositioning systems using Stewart platforms. J. Robot. Syst. 17, 17–52 (2000)

    Article  Google Scholar 

  15. Stan, S.-D., Maties, V., Balan, R.: Workspace optimal design of a 2 DOF micro parallel robot using genetic algorithms and simulated annealing optimization methods. In: 2007 International Conference on Mechatronics and Automation, pp. 1108–1113 (2007). https://doi.org/10.1109/ICMA.2007.4303703

  16. Merlet, J.P.: Determination of the orientation workspace of parallel manipulators. J. Intell. Robot. Syst. 13, 143–160 (1995)

    Article  Google Scholar 

  17. Agrawal, S.K.: Workspace boundaries of in-parallel manipulator systems. IEEE Trans. Robot. Autom. 7(2), 94–99 (1991)

    Google Scholar 

  18. Arrouk, K.A., Bouzgarrou, B.C., Stan, S.D., Gogu, G.: CAD based design optimization of planar parallel manipulators. In: Solid State Phenomena, vol. 166–167, pp. 33–38. Trans Tech Publications, Ltd. (2010). https://doi.org/10.4028/www.scientific.net/ssp.166-167.33

  19. Arrouk, K.A., Bouzgarrou, B.C., Gogu, G.: Workspace characterization and kinematic analysis of general spherical parallel manipulators revisited via graphical based approaches, Mech. Mach. Theory 122, 404–431 (2018). ISSN 0094-114X, https://doi.org/10.1016/j.mechmachtheory.2017.11.019

  20. Han, H., Zhang, Y., Zhang, H., Han, C., Li, A., Xu, Z.: Kinematic analysis and performance test of a 6-DOF parallel platform with dense ball shafting as a revolute joint. Appl. Sci. 11, 6268 (2021). https://doi.org/10.3390/app11146268

  21. Sreenivasan, S.V., Waldron, K.J., Nanua, P.: Closed-form direct displacement analysis of a 6–6 Stewart platform. Mech. Mach. Theory 29, 855–864 (1994)

    Article  Google Scholar 

  22. Chaudhury, A.N., Ghosal, A.: Determination of workspace volume of parallel manipulators using Monte Carlo method. In: Zeghloul, S., Romdhane, L., Laribi, M.A. (eds.) Computational Kinematics. MMS, vol. 50, pp. 323–330. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-60867-9_37

    Chapter  Google Scholar 

  23. Gokul Narasimhan, S., Shrivatsan, R., Venkatasubramanian, K., Dash, A.K.: Determination of constant orientation workspace of a Stewart platform by geometrical method. Appl. Mech. Mater. 813–814, 997–1001 (2015). https://doi.org/10.4028/www.scientific.net/AMM.813-814.997

  24. Abdel-Malek, K., Yeh, H.-J., Inc, M., Khairallah, N.: Workspace, void, and volume determination of the general 5DOF manipulator. Mech. Struct. Mach. 27 (2000). https://doi.org/10.1080/08905459908915690

  25. Bonev, I., Gosselin, C.: Analytical determination of the workspace of symmetrical spherical parallel mechanisms. Robot. IEEE Trans. 22, 1011–1017 (2006). https://doi.org/10.1109/TRO.2006.878983

    Article  Google Scholar 

  26. Konig, O., Wintermantel, M.: CAD-based Evolutionary Design Optimization with CATIA V5. Weimarer Optimierungs- und Stochastiktage 1.0, 2/3. December 2004

    Google Scholar 

  27. Oarcea, A., Popister, F., Stan, S.D., Cobilean, V.: Comparative study of CAD optimization features for the workspace of 3DOF Parallel Robot. In: 2021 9th International Conference on Modern Power Systems (MPS), pp. 1–6 (2021). https://doi.org/10.1109/MPS52805.2021.9492529

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Authors and Affiliations

  1. Faculty of Industrial Engineering, Robotics and Production Management, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

    Florin Popișter & Costan-Vlăduț Trifan

  2. Faculty of Automotive, Mechatronics and Mechanical Engineering, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

    Alexandru Oarcea & Sergiu-Dan Stan

Authors
  1. Florin Popișter
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  2. Alexandru Oarcea
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  3. Sergiu-Dan Stan
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  4. Costan-Vlăduț Trifan
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Corresponding author

Correspondence to Florin Popișter .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Poznan University of Technology, Poznan, Poland

    Bartosz Gapiński

  2. Faculty of Mechanical Engineering, Poznan University of Technology, Poznan, Poland

    Olaf Ciszak

  3. Department of Manufacturing Engineering, Machines and Tools, Sumy State University, Sumy, Ukraine

    Vitalii Ivanov

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Popișter, F., Oarcea, A., Stan, SD., Trifan, CV. (2022). Workspace Analysis of a Novel Parallel Kinematic Machine with 6 Degrees of Freedom. In: Gapiński, B., Ciszak, O., Ivanov, V. (eds) Advances in Manufacturing III. MANUFACTURING 2022. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-00805-4_5

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  • DOI: https://doi.org/10.1007/978-3-031-00805-4_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-00804-7

  • Online ISBN: 978-3-031-00805-4

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