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Demonstration of accelerating and decelerating nonlinear impulse waves in functionally graded granular chains.

Rajesh Chaunsali1, Eunho Kim1,2, Jinkyu Yang3

  • 1Aeronautics and Astronautics, University of Washington, Seattle, WA 98195-2400, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 25, 2018
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Summary

We developed a tunable granular system with spatially varying stiffness to control nonlinear impulse waves. This system can accelerate or decelerate waves without scattering, enabling new sensing and impact mitigation applications.

Keywords:
granular crystalhighly nonlinear wavestunable graded system

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Area of Science:

  • Nonlinear dynamics
  • Granular physics
  • Wave propagation

Background:

  • Granular systems exhibit complex behaviors under excitation.
  • Controlling wave propagation in such systems is challenging.
  • Nonlinear waves can carry significant energy.

Purpose of the Study:

  • To introduce a tunable granular system with graded stiffness.
  • To investigate the manipulation of nonlinear impulse waves.
  • To explore applications in sensing and impact mitigation.

Main Methods:

  • Analytical investigation of wave dynamics.
  • Numerical simulations of wave propagation.
  • Experimental validation of the system's behavior.

Main Results:

  • The system supports highly nonlinear waves without initial compression.
  • Impulse waves can be accelerated and decelerated without significant scattering.
  • Stiffness gradients lead to scaling of contact forces.

Conclusions:

  • Tunable granular systems offer a method for controlling nonlinear waves.
  • The proposed system demonstrates potential for advanced sensing and impact absorption.
  • Spatially graded stiffness is key to wave manipulation.