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Dynamics of Tendon Actuated Continuum Robots by Cosserat Rod Theory

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ROMANSY 23 - Robot Design, Dynamics and Control (ROMANSY 2020)

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Abstract

Continuum robots bio-inspired from elephant trunk or snake are widely researched due to its curvilinear path following capabilities in restricted environment. Tendon actuation is one of the direct approaches to bend such continuous structures with high force generation ability. This paper focuses on developing kinematic and dynamic model for tendon actuated robot based on cosserat rod theory with piecewise constant curvature method. Representing rotational configuration of such robots using quaternions instead of traditional Euler angles eliminates singularity in modeling and ensures unique positioning of end effector even for large relative rotations. The actuation model developed incorporates general loading on element with piecewise constant curvature and is applicable for robots with any number of discs, tendons and configuration of tendons. This model accurately predicts bending, torsion, shear and extension of robot which is validated with standard benchmark problems of two, three dimensional co-rotational as well as curved beams subjected to nonlinear external load.

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References

  1. Lau, K., Leung, Y., Yam, Y.: Applications of flexible robots in endoscopic surgery. Handbook of Robotic and Image-Guided Surgery, pp. 303–322 (2020). Elsevier

    Google Scholar 

  2. Russo, S.: Smart composites and hybrid soft-foldable technologies for minimally invasive surgical robots. Handbook of Robotic and Image-Guided Surgery, pp. 323–340 (2020). Elsevier

    Google Scholar 

  3. Buckingham, R., Graham, A.: Nuclear Snake-ARM robots. Industrial Robot: An International Journal (2012)

    Google Scholar 

  4. Santiago, J.L., Walker, I.D., Godage, I.S.: Continuum robots for space applications based on layer-jamming scales with stiffening capability. IEEE Aerospace Conference, pp. 1–13 (2015)

    Google Scholar 

  5. Kutzer, M.D., Segreti, S.M.: Design of a new cable-driven manipulator with a large open lumen: preliminary applications in the minimally-invasive removal of osteolysis. IEEE International Conference on Robotics and Automation, pp. 2913–2920 (2011)

    Google Scholar 

  6. Qu, T., Chen, J., Shen, S., Xiao, Z., Yue, Z., Lau, H.Y.: Motion control of a bio-inspired wire-driven multi-backbone continuum minimally invasive surgical manipulator. IEEE International Conference on Robotics and Biomimetics (ROBIO), pp. 1989–1995 (2016)

    Google Scholar 

  7. Rone, W.S., Ben-Tzvi, P.: Mechanics modeling of multisegment rod-driven continuum robots. J. Mech. Robot. 2(4), 103 (2016)

    Google Scholar 

  8. Jung, J., Penning, R.S., Ferrier, N.J., Zinn, M.R.: A modeling approach for continuum robotic manipulators: effects of nonlinear internal device friction. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 5139–5146 (2011)

    Google Scholar 

  9. Falkenhahn, V., Mahl, T., Hildebrandt, A., Neumann, R., Sawodny, O.: Dynamic modeling of bellows-actuated continuum robots using the euler-lagrange formalism. IEEE Trans. Robot. 31(6), 1483–96 (2015)

    Article  Google Scholar 

  10. Gravagne, I.A., Rahn, C.D., Walker, I.D.: Large deflection dynamics and control for planar continuum robots. IEEE/ASME Trans. Mechatron. 8(2), 299–307 (2003)

    Article  Google Scholar 

  11. Rucker, D.C., Webster III, R.J.: Statics and dynamics of continuum robots with general tendon routing and external loading. In: IEEE Transactions on Robotics, pp. 1033-1044 (2011)

    Google Scholar 

  12. Dalvand, M.M., Nahavandi, S.: Howe RD. an analytical loading model for \( n \)- tendon continuum robots. IEEE Trans. Robot. 34(5), 1215–1225 (2018)

    Google Scholar 

  13. Goldberg, N.N., Huang, X., Majidi, C.: On Planar Discrete Elastic Rod Models for the Locomotion of Soft Robots. 6(5), 595–610 (2016)

    Google Scholar 

  14. Antman, S.S.: Nonlinear Problems of Elasticity, vol. 107. Springer (1995)

    Google Scholar 

  15. Spillmann, J., Teschner, M.: CoRdE: Cosserat rod elements for the dynamic simulation of one-dimensional elastic objects. ACM SIGGRAPH/Eurographics Symposium on Computer Animation, pp. 63–72 (2007)

    Google Scholar 

  16. Lang, H., Linn, J., Arnold, M.: Multi-body dynamics simulation of geometrically exact cosserat rods. Multibody Syst. Dyn. 25(3), 285–312 (2011)

    Article  MathSciNet  Google Scholar 

  17. Le, T.N., Battini, J.M., Hjiaj, M.: Efficient formulation for dynamics of corotational 2D beams. Computat. Mech. 48(2), 153–61 (2011)

    Article  MathSciNet  Google Scholar 

  18. Youtube. https://www.youtube.com/watch?v=EUEp-AfvvzE. Accessed 4 Aug 2015

  19. Arbind, A., Reddy, J.N.: Transient analysis of cosserat rod with inextensibility and unshearability constraints using the least-squares finite element model. Int. J. Non-Linear Mech. 79, 38–47 (2016)

    Article  Google Scholar 

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Correspondence to Arati Ajay Bhattu .

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Bhattu, A.A., Kulkarni, S. (2021). Dynamics of Tendon Actuated Continuum Robots by Cosserat Rod Theory. In: Venture, G., Solis, J., Takeda, Y., Konno, A. (eds) ROMANSY 23 - Robot Design, Dynamics and Control. ROMANSY 2020. CISM International Centre for Mechanical Sciences, vol 601. Springer, Cham. https://doi.org/10.1007/978-3-030-58380-4_50

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