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Research Papers

An Efficient Static Analysis of Continuum Robots

[+] Author and Article Information
Shahir Hasanzadeh

Department of Mechanical
and Industrial Engineering,
Ryerson University,
Toronto, ON M5B 2K3, Canada
e-mail: shahir.hasanzadeh@ryerson.ca

Farrokh Janabi-Sharifi

Department of Mechanical
and Industrial Engineering,
Ryerson University,
Toronto, ON M5B 2K3, Canada
e-mail: fsharifi@ryerson.ca

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received July 25, 2013; final manuscript received March 17, 2014; published online April 25, 2014. Assoc. Editor: Philippe Wenger.

J. Mechanisms Robotics 6(3), 031011 (Apr 25, 2014) (5 pages) Paper No: JMR-13-1139; doi: 10.1115/1.4027305 History: Received July 25, 2013; Revised March 17, 2014

An efficient yet accurate model of the continuum robot is the main component for its real-time control, simulation as well as localization. Previous models of the continuum robot, based on rod theory, suffer from high computational burden. The models also require a priori knowledge of the robot environment. This paper presents an efficient static model for the planar continuum robot that experiences external forces at the tip as a result of contact with its surroundings (measured by the built-in force sensors), thus no a priori information about the environment is required. The typical example of such robots is steerable catheters used in medical operations. The proposed approach involves discretizing the robot backbone curve to elastic arc elements. After deriving the equilibrium equations for the infinitesimal elements, a recursive algorithm with the time complexity of O(n) is proposed for realizing the shape of the robot as a result of the external force. Accuracy of the proposed method is evaluated both theoretically and experimentally for a case study, i.e., an intracardiac ablation catheter. Results validate the accuracy and time-efficiency of the proposed approach for real-time applications.

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Figures

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Fig. 1

Schematic view of the continuum robot with the applied loads (a). Infinitesimal elastic arc element (b).

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Fig. 2

Schematic view of a steerable catheter (a). Actuation mechanism of distal shaft of a bidirectional catheter. The torque equal to T = FTd is applied at the tip of the catheter as a result of tendon tension (b).

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Fig. 3

Shape of the catheter obtained by elastica and the proposed approach with 50 sections

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Fig. 4

Tip distance error for the proposed approach for different number of sections

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Fig. 5

Experimental setup

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Fig. 6

Shape of the catheter obtained by experiment versus model

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