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Customizable wave tailoring nonlinear materials enabled by bilevel inverse design.

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Discover the optimal nonlinearity for wave tailoring applications. Our inverse design method outperforms traditional energy locking for impact mitigation, offering new possibilities for passive nonlinear materials.

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Area of Science:

  • Nonlinear dynamics
  • Materials science
  • Wave propagation

Background:

  • Nonlinearities significantly alter wave propagation in diverse fields.
  • Selecting the optimal nonlinearity for specific wave tailoring applications remains a challenge.

Purpose of the Study:

  • To introduce a bilevel inverse design method for tailoring nonlinear mechanical wave responses.
  • To identify optimal nonlinearities for impact mitigation and pulse shaping.

Main Methods:

  • Developed a bilevel inverse design approach coupling structural shape optimization with reduced-order nonlinear dynamical inverse design.
  • Applied the method to a 1D polynomial spring-mass chain (Fermi-Pasta-Ulam-Tsingou variant).
  • Investigated two distinct problems: minimizing impact energy and transforming pulse shapes.

Main Results:

  • Demonstrated that minor nonlinearity variations drastically alter system dynamics, outperforming linear systems.
  • Showcased that the optimal nonlinearity significantly surpasses "energy locking" bistability for impact mitigation.
  • Validated impact mitigation findings through experimental comparison, showing excellent agreement.

Conclusions:

  • The developed framework enables passive nonlinear mechanical wave tailoring for materials.
  • Potential applications include computing, signal processing, shock mitigation, and autonomous materials.