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Paper TuA207.2

Rucker, Caleb (Vanderbilt University), Webster III, Robert James (Vanderbilt University)

Computing Jacobians and Compliance Matrices for Externally Loaded Continuum Robots

Scheduled for presentation during the Regular Sessions "Biologically-Inspired Robots II" (TuA207), Tuesday, May 10, 2011, 10:20−10:35, Room 5B

2011 IEEE International Conference on Robotics and Automation, May 9-13, 2011, Shanghai International Conference Center, Shanghai, China

This information is tentative and subject to change. Compiled on March 30, 2020

Keywords Biologically-Inspired Robots, Medical Robots and Systems, Kinematics

Abstract

Kinematic models that account for deformation due to applied loads have recently been developed for a variety of continuum robots. In these cases, a set of nonlinear differential equations with boundary conditions must often be solved to obtain the robot shape. Thus, computing manipulator Jacobians and compliance matrices efficiently is not straightforward. In this paper, we propose a method for obtaining an arc length parametrized Jacobian and compliance matrix. Our approach involves obtaining an augmented Jacobian by propagating the necessary partial derivatives through the model equations, resulting in a new set of differential equations. These equations can be solved as an initial value problem, via a single numerical integration. Our method can be generally applied to various continuum robot architectures, regardless of the specific actuation system used. We provide a specific case study using this method to obtain the Jacobian for a concentric-tube robot.

 

 

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