Skip to main content

Shape Modeling of Continuous-Curvature Continuum Robots

  • Conference paper
  • First Online:
Computational Kinematics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 15))

  • 2250 Accesses

Abstract

An essential problem in developing concentric-tube continuum robots is to determine the shape of the robot, which is dependent on robot structure and external load. A comprehensive model that takes into considerations of influencing factors is hence required. In this work, the shape modeling of a type of concentric-tube continuum robot built with a collection of super-elastic NiTiNol tubes is studied. The model, developed on the basis of differential geometry and curved beam theory, is able to determine both the bending deflection and torsional deformation for a continuum robot of continuous curvature. Simulation results for calculating the shape of a continuum robot built with NiTiNol tubes are included.

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
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. Blessing, M., Walker, I.D.: Novel continuum robots with variable-length sections. In: Proceedings of the 3rd IFAC Symposium on Mechatronic Systems, Sydney, Australia (2004)

    Google Scholar 

  2. Mazzolai, B., Margheri, L., Cianchetti, M., Dario, P., Laschi, C.: Soft-robotic arm inspired by the octopus: II. from artificial requirements to innovative technological solutions. Bioinspiration & Biomimetics 7(2), 025005 (2012)

    Article  Google Scholar 

  3. Li, C.: Design of Continuous Backbone, Cable-driven Robots. Clemson University, Clemson (2000)

    Google Scholar 

  4. Dupont, P.E., Lock, J., Butler, E.: Torsional kinematic model for concentric tube robots. In: Proceedings of the 2009 IEEE International Conference on Robotics and Automation, pp. 2964–2971. (2009)

    Google Scholar 

  5. Webster III, R.J., Jones, B.A.: Design and kinematic modeling of constant curvature continuum robots: a review. Int. J. Robot. Res. 29(13), 1661–1683 (2010)

    Article  Google Scholar 

  6. Jones, B.A., Gray, R.L., Turlapati, K.: Three dimensional statics for continuum robotics. In: Proceedings of the 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 2659–2664. (2009)

    Google Scholar 

  7. Camarillo, D.B., Milne, C.F., Carlson, C.R., Zinn, M.R., Salisbury, J.K.: Mechanics modeling of tendon-driven continuum manipulators. IEEE Trans. Robot. 24(6), 1262–1273 (2008)

    Article  Google Scholar 

  8. Lang, H., Linn, J., Arnold, M.: Multibody dynamics simulation of geometrically exact Cosserat rods. Multibody Dyn. 25, 285–312 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  9. Dupont, P.E., Lock, J., Itkowitz, B., Butler, E.: Design and control of concentric-tube robots. IEEE Trans. Robot. 26(2), 209–225 (2010)

    Article  Google Scholar 

  10. Do Carmo, M.P.: Differential geometry of curves and surfaces. Prentice-Hall Inc., Englewood Cliffs (1976)

    Google Scholar 

  11. Bai, S., Chuhao Xing, C.: Shape modeling of a concentric-tube continuum robot. In: Proceedings of the 2012 IEEE Inter Conference on Robotics and Biomimetics (ROBIO 2012), pp. 116–121. Guangzhou, China, 11–14 Dec 2012

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shaoping Bai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Bai, S. (2014). Shape Modeling of Continuous-Curvature Continuum Robots. In: Thomas, F., Perez Gracia, A. (eds) Computational Kinematics. Mechanisms and Machine Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7214-4_9

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-7214-4_9

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7213-7

  • Online ISBN: 978-94-007-7214-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics