Localised bending modes in split ring resonators

نویسندگان

  • Sébastien Guenneau
  • Alexander Movchan
  • Natasha Movchan
  • S. Guenneau
  • A. B. Movchan
  • N. V. Movchan
چکیده

We present band diagrams for in-plane elastic waves propagating within a doubly periodic structure involving Split Ring Resonators. From the Navier equations we derive that the lowest resonant frequencies are associated with localised bending modes solutions of a fourth order differential equation in thin bridges, which are responsible for the appearance of a low frequency stop band. Potential applications lie in the design of earthquake resistant systems.

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تاریخ انتشار 2018