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Novel Kinematics for Continuum Robots

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Advances in Robot Kinematics

Abstract

In this paper we address the kinematics of hyper-redundant robots known as continuum robots. Though research is not new in this area, there has not been an established kinematic model for these robots. We derive a new kinematic model that uses both differential geometry and the Denavit-Hartenberg procedure to provide not only an intuitive physical model, but also a model that can be used with standard redundancy resolution techniques. We give examples in both the planar and spatial cases to demonstrate our kinematic model.

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References

  • Chirikjian, G.S. (1992). Theory and Applications of Hyper-Redundant Robotic Mechanisms. Ph.D. Thesis Dept. of Applied Mechanics, California Institute of Technology.

    Google Scholar 

  • Gravagne, I., Walker, I.D. (2000). On the Kinematics of Remotely-Actuated Continuum Robots. To Appear IEEE Int. Conf. on Robotics and Automation, San Francisco.

    Google Scholar 

  • Hirose, S. (1993). Biologically Inspired Robots. Oxford University Press.

    Google Scholar 

  • Li, C., Rahn, C.D. (2000). Nonlinear Kinematics for a Continuous Backbone, Cable-Driven Robot. To Appear, 20th Southeastern Conf. Theoretical/Applied Mechanics.

    Google Scholar 

  • Mochiyama, H., Kobayashi, H. (1998). Shape Correspondence between a Spatial Curve and a Manipulator with Hyper Degrees of Freedom. IEEE IROS, pp. 161–166.

    Google Scholar 

  • Nenchev, D.N. (1989). Redundancy Resolution through Local Optimization: A Review. Journal of Robotic Systems, vol. 6, pp. 769–798.

    Article  MATH  Google Scholar 

  • Robinson, G., Davies, J.B.C. (1999). Continuum Robots-A State of the Art. IEEE Int. Conf. on Robotics and Automation, pp. 2849–2854.

    Google Scholar 

  • Struik, D.J. (1961). Lectures on Classical Differential Geometry. Addison- Wesley.

    MATH  Google Scholar 

  • Spong, M.W., Vidyasagar, M. (1989). Robot Dynamics and Control, John Wiley & Sons.

    Google Scholar 

  • Walker I., Hannan, M. (1999). A Novel Elephant’s Trunk Robot. AIM’99, pp. 410–415.

    Google Scholar 

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© 2000 Springer Science+Business Media Dordrecht

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Hannan, M.W., Walker, I.D. (2000). Novel Kinematics for Continuum Robots. In: Lenarčič, J., Stanišić, M.M. (eds) Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4120-8_24

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  • DOI: https://doi.org/10.1007/978-94-011-4120-8_24

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5803-2

  • Online ISBN: 978-94-011-4120-8

  • eBook Packages: Springer Book Archive

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