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Dynamic rigidity transition.

J A Aström1, M Latva-Kokko, J Timonen

  • 1Department of Physics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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Impact energy can cause an inflated loop to dynamically transition between rigid and floppy states. The loop collapses into a floppy state if impact energy exceeds the energy needed to collapse it, exhibiting 1/f(2) noise.

Area of Science:

  • Physics
  • Materials Science
  • Nonlinear Dynamics

Background:

  • Inflated closed loops (membranes) exhibit complex behaviors under external stimuli.
  • Understanding dynamic transitions is crucial for predicting material responses.

Purpose of the Study:

  • To investigate the dynamic rigidity transition in an inflated closed loop subjected to impact energy.
  • To identify the key parameters governing this transition at zero temperature.

Main Methods:

  • Simulating an inflated closed loop at static equilibrium and zero temperature.
  • Introducing impact energy to observe dynamic responses.
  • Analyzing the ratio of collapse energy to impact energy.

Main Results:

Related Experiment Videos

  • A discontinuous dynamic transition between floppy and rigid states was observed.
  • Below a critical energy ratio, the loop collapses into a high-entropy floppy state with 1/f(2) noise.
  • Above the critical ratio, the loop remains rigid, exhibiting oscillations dominated by eigenfrequencies and potentially long-lasting bouncing.

Conclusions:

  • The ratio of collapse energy to impact energy is the sole determinant of the dynamic rigidity transition.
  • The floppy state is characterized by 1/f(2) noise, while the rigid state shows eigenfrequency-dominated oscillations.
  • The long-term behavior of bouncing in the rigid state requires further investigation.