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This study explores collision dynamics in mass-in-mass resonators, akin to a Newton's cradle. Researchers found unique behaviors like spheres sticking together or rebounding off each other, controllable via effective parameters.

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Area of Science:

  • Physics
  • Materials Science
  • Mechanical Engineering

Background:

  • Locally resonant metamaterials are widely studied for wave propagation in periodic structures.
  • Mass-in-mass resonators offer a unique platform for investigating complex dynamics.

Purpose of the Study:

  • To investigate the collision dynamics of two pendulum-suspended mass-in-mass resonators.
  • To explore nonconventional collision behaviors and their dependence on effective parameters.
  • To establish a framework for "collision-based metamaterial" development.

Main Methods:

  • Modeling the collision dynamics of two identical mass-in-mass resonators.
  • Analyzing scenarios where internal resonator frequency significantly exceeds pendulum frequency.
  • Characterizing collision outcomes using effective parameters.

Main Results:

  • Demonstrated that collision dynamics can be described by effective parameters, analogous to wave propagation in metamaterials.
  • Observed nonconventional behaviors: single-sphere rebound, coupled motion, and opposing recoils.
  • Showcased that effective parameters can be tuned to achieve these distinct responses, differing from conventional Newton's cradle dynamics.
  • Investigated complex dynamics arising from multiple collisions.

Conclusions:

  • Collision dynamics in mass-in-mass systems exhibit tunable, nonconventional behaviors.
  • Effective parameters provide a powerful tool for characterizing and controlling these collisions.
  • This research opens avenues for novel "collision-based metamaterial" designs and applications.