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Coiling of elastic ropes.

M Habibi1, N M Ribe, Daniel Bonn

  • 1Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran.

Physical Review Letters
|November 13, 2007
PubMed
Summary

When a rope falls, it coils. This study uses experiments and a numerical model to map the physics of elastic coiling, revealing distinct regimes and resonant behaviors.

Area of Science:

  • Physics
  • Fluid Dynamics
  • Materials Science

Background:

  • Rope coiling is a common phenomenon observed when a flexible object impacts a surface.
  • Understanding the underlying physics requires analyzing the interplay of elastic, gravitational, and inertial forces.

Purpose of the Study:

  • To investigate the dynamics of elastic coiling of a falling rope.
  • To develop a comprehensive phase diagram for rope coiling behavior.
  • To identify and characterize different coiling regimes and resonant modes.

Main Methods:

  • Laboratory experiments using cotton threads and softened spaghetti.
  • Development and application of an asymptotic "slender-rope" numerical model.
  • Comparison of experimental results with numerical predictions without adjustable parameters.

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Main Results:

  • Excellent agreement between experimental and numerical results.
  • Determination of a complete phase diagram for elastic coiling.
  • Identification of three basic coiling regimes based on force balances (elastic, gravitational, inertial).
  • Discovery of resonant "whirling string" and "whirling shaft" eigenmodes within the inertial regime.

Conclusions:

  • The study provides a robust framework for understanding rope coiling dynamics.
  • The identified regimes and modes offer insights into the behavior of flexible structures under gravity and elastic forces.
  • The findings have implications for fields involving flexible material dynamics and wave propagation.