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The Forward Kinematics of the 4-1 Cable-Driven Parallel Robot with Non Elastic Sagging Cables

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Advances in Robot Kinematics 2020 (ARK 2020)

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Abstract

We consider a 3 dof translational cable-driven parallel robot (CDPR) with 4 cables connected at the same point on the load. We assume that the CDPR has a small or medium size and uses synthetic cables so that the elasticity of the cable material is negligible. We will investigate the forward kinematics (FK) of such a CDPR (i.e. determining the CDPR pose for given cable lengths) with the purpose of evaluating the influence of the sagging of the cables and showing that the FK has, in general, a single solution. We then consider other FK problems where only cable tensions or angles are measured and show their advantages and drawbacks. We then consider the FK problem where we fuse the measurements of the cable lengths with direct measurements of the pose of the platform provided at a low rate.

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References

  1. Abbasnejad, G., Carricato, M.: Direct geometrico-static problem of underconstrained cable-driven parallel robots with n cables. IEEE Trans. Robot. 31(2), 468–478 (2015)

    Article  Google Scholar 

  2. Alikhani, A., et al.: Design of a large-scale cable-driven robot with translational motion. Robot. Comput. Integr. Manuf. 27(2), 357–366 (2011)

    Article  Google Scholar 

  3. Andreff, N., Dallej, T., Martinet, P.: Image-based visual servoing of a Gough-Stewart parallel manipulator using leg observations. Int. J. Robot. Res. 26(7), 677–688 (2007)

    Article  Google Scholar 

  4. Barnett, E., Gosselin, C.: Large-scale 3D printing with a cable-suspended robot. Addit. Manuf. 7, 27–44 (2015)

    Google Scholar 

  5. Borgstrom, P., et al.: Discrete trajectory control algorithms for NIMS3D, an autonomous underconstrained three-dimensional cabled robot. In: IEEE International Conference on Intelligent Robots and Systems (IROS), pp. 253–240. San Diego, 22–26 September 2007

    Google Scholar 

  6. Chianura, M.: Vision-based enhancement of the pose accuracy of a redundantly actuated cable-driven parallel robot. Ph.D. thesis, University Bologna (2018)

    Google Scholar 

  7. Dallej, T., et al.: Towards vision-based control of cable-driven parallel robots. In: IEEE International Conference on Intelligent Robots and Systems (IROS), San-Francisco, 25–30 September 2011

    Google Scholar 

  8. Fortin-Côté, A., Cardou, P., Campeau-Lecours, A.: Improving cable driven parallel robot accuracy through angular position sensors. In: IEEE International Conference on Intelligent Robots and Systems (IROS), pp. 4350–4355, Daejeon, 9–14 October 2016

    Google Scholar 

  9. Hussein, H., Gouttefarde, M., Pierrot, F.: Static modeling of sagging cables with flexural rigidity and shear forces. In: ARK, Bologna, 1–5 July 2018

    Google Scholar 

  10. Irvine, H.M.: Cable Structures. MIT Press, Cambridge (1981)

    Google Scholar 

  11. Korayem, M., Yousefzadeh, M., Kian, S.: Precise end-effector pose estimation in spatial cable-driven parallel robots with elastic cables using data fusion methods. Measurement 130, 177–190 (2018)

    Article  Google Scholar 

  12. Merlet, J.P.: Computing cross-sections of the workspace of suspended cable-driven parallel robot with sagging cables having tension limitations. In: IEEE International Conference on Intelligent Robots and Systems (IROS), Madrid, 1–5 October 2018

    Google Scholar 

  13. Merlet, J.P.: Singularity of cable-driven parallel robot with sagging cables: preliminary investigation. In: IEEE International Conference on Robotics and Automation, Montréal, 20–24 May 2019

    Google Scholar 

  14. Merlet, J.P.: An experimental investigation of extra measurements for solving the direct kinematics of cable-driven parallel robots. In: IEEE International Conference on Robotics and Automation, Brisbane, 21–25 May 2018

    Google Scholar 

  15. Miermeister, P., et al.: An elastic cable model for cable-driven parallel robots including hysteresis effect. In: 2nd International Conference on cable-driven parallel robots (CableCon), pp. 17–28. Duisburg, 24–27 August 2014

    Google Scholar 

  16. Piao, J., et al.: Open-loop position control of a polymer cable-driven parallel robot via a viscoelastic cable model for high payload workspaces. Adv. Mech. Eng. 9(12), 1687814017737199 (2017)

    Article  Google Scholar 

  17. Riehl, N., et al.: On the determination of cable characteristics for large dimension cable-driven parallel mechanisms. In: IEEE International Conference on Robotics and Automation, pp. 4709–4714, Anchorage, 3–8 May 2010

    Google Scholar 

  18. Schmidt, V.: Modeling techniques and reliable real-time implementation of kinematics for cable-driven parallel robots using polymer fiber cables. Ph.D. thesis, Université Stuttgart, 20 June 2016

    Google Scholar 

  19. Tempel, P., Trautweing, F., Pott, A.: Experimental identification of stress-strain material models of UHMWPE fiber cables for improving cable tension control strategies. In: ARK, Bologna, 1–5 July 2018

    Google Scholar 

  20. Williams II, R., Albus, J., Bostelman, R.: 3D cable-based cartesian metrology system. J. Robot. Syst. 21(5), 237–257 (2004)

    Article  Google Scholar 

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Acknowledgements

This work was partly supported by the ANR CRAFT grant 18-CE10-0004.

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Correspondence to J-P. Merlet .

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Merlet, JP. (2021). The Forward Kinematics of the 4-1 Cable-Driven Parallel Robot with Non Elastic Sagging Cables. In: Lenarčič, J., Siciliano, B. (eds) Advances in Robot Kinematics 2020. ARK 2020. Springer Proceedings in Advanced Robotics, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-030-50975-0_13

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