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Modal kinematics for multisection continuum arms.

Isuru S Godage1, Gustavo A Medrano-Cerda, David T Branson

  • 1Department of Electrical and Computer Engineering, Clemson University, Clemson, SC 29634, USA.

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Summary
This summary is machine-generated.

This study introduces a new spatial kinematic model for continuum arms using mode shape functions (MSF). This advanced model offers singularity-free solutions and accounts for physical constraints, enhancing robotic arm control.

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Area of Science:

  • Robotics
  • Mechanical Engineering
  • Applied Mathematics

Background:

  • Continuum arms present complex kinematic challenges due to their continuous deformation.
  • Existing models often suffer from singularities, mode switching, and limitations in simulating combined motions.
  • Modal methods offer efficient approximations for complex systems.

Purpose of the Study:

  • To develop a novel, accurate, and computationally efficient spatial kinematic model for multisection continuum arms.
  • To overcome limitations of previous models, including singularity-free solutions and unique mode shape functions (MSF).
  • To enable simulation of spatial bending, elongation/contraction, and introduce decoupled inverse kinematics.

Main Methods:

  • Application of modal approximation techniques to derive a new kinematic model.
  • Development of exact, singularity-free, and unique mode shape functions (MSF).
  • Introduction of kinematic decoupling for inverse position and orientation kinematics, incorporating joint space constraints.

Main Results:

  • A new modal kinematic model for variable length multisection continuum arms.
  • Successfully derived unique and singularity-free MSFs, simplifying the approach and avoiding mode switching.
  • Demonstrated capability to simulate spatial bending and pure elongation/contraction, with decoupled inverse kinematics and consideration of physical constraints.

Conclusions:

  • The proposed modal kinematic model provides an exact, singularity-free, and unique solution for multisection continuum arms.
  • The kinematic decoupling feature offers a novel approach for inverse kinematics in these systems.
  • The model's ability to incorporate physical constraints ensures practical and realizable results across various continuum arm designs.