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Geometric visualization of self-propulsion in a complex medium.

Ross L Hatton1, Yang Ding2, Howie Choset3

  • 1School of Mechanical, Industrial, and Manufacturing Engineering, Oregon State University, Corvallis, Oregon 97331, USA.

Physical Review Letters
|August 29, 2014
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Summary

We studied the Purcell three-link swimmer

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Area of Science:

  • Robotics
  • Geometric Mechanics
  • Granular Media Locomotion

Background:

  • Understanding micro-swimmer locomotion in complex environments is crucial.
  • The Purcell three-link swimmer is a model for non-inertial locomotion.
  • Granular media present unique resistive forces compared to viscous fluids.

Purpose of the Study:

  • To investigate the locomotion of the Purcell three-link swimmer in granular media.
  • To develop a theoretical framework relating shape changes to movement.
  • To compare granular locomotion with swimming in viscous fluids.

Main Methods:

  • Geometric mechanics theory applied to granular resistive force laws.
  • Laboratory robotic experiments with a three-link swimmer.
  • Numerical simulations to model and predict swimmer movement.

Main Results:

  • The theory successfully predicts effective translation and rotation based on link movements.
  • Experimental results validate the theoretical predictions.
  • The geometric approach provides a unified framework for analyzing locomotion.

Conclusions:

  • The study demonstrates a robust method for analyzing swimmer dynamics in granular media.
  • Geometric mechanics offers insights into non-inertial locomotion across different media.
  • This work lays the foundation for designing micro-robots for granular environments.