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Unidirectional Transition Waves in Bistable Lattices.

Neel Nadkarni1, Andres F Arrieta2,3, Christopher Chong3,4

  • 1Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, California 91125, USA.

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This summary is machine-generated.

We developed a model system for nonlinear transition waves in magnetic lattices. These waves propagate unidirectionally due to an engineered mechanical diode, enabling controlled wave behavior.

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Area of Science:

  • Nonlinear dynamics
  • Mechanical metamaterials
  • Wave propagation

Background:

  • Periodic structures can exhibit complex wave phenomena.
  • Bistable elements offer unique energy landscape possibilities.
  • Controlling wave propagation is crucial in many engineering applications.

Purpose of the Study:

  • To model and investigate strongly nonlinear transition waves.
  • To explore wave unidirectionality in a periodic lattice.
  • To establish a link between wave characteristics and the energy landscape.

Main Methods:

  • Development of a theoretical model for the system.
  • Experimental validation of the model predictions.
  • Numerical simulations to confirm wave behavior.

Main Results:

  • Demonstrated unidirectional propagation of transition waves.
  • Identified a mechanical diode effect caused by asymmetric energy wells.
  • Established a direct relationship between wave velocity/profile and the double-well energy landscape.

Conclusions:

  • The engineered asymmetry in bistable members creates a reliable mechanical diode.
  • The double-well energy landscape provides a blueprint for controlling transition wave dynamics.
  • This system offers a platform for designing tunable wave propagation in metamaterials.