A mechanical analogue of electromagnetic induction for waves in a chiral elastic structure
<|reference_start|>A mechanical analogue of electromagnetic induction for waves in a chiral elastic structure: Classical Faraday's law on electromagnetic induction states that a change of magnetic field through a coil wire induces a current in the wire. A mechanical analogue of the Lorentz force, induced by a magnetic field on an electric charge, is the gyroscopic force. Here, we demonstrate a mechanical analogy with a chiral elastic waveguide subjected to gyroscopic forcing. We study waves in an infinite mass-spring `gyrocore helix', which consists of a helix and a central line (gyroscopic elastic core). The helicoidal geometric chirality is considered in conjunction with a physical chirality, induced by gyroscopic forces. It is shown that the interplay between these two chiral inputs leads to the breaking of symmetry of the associated dispersion diagram, resulting in a unidirectional waveform with the direction of propagation being tunable through the gyricity.<|reference_end|>
@article{allison2024a,
    title={A mechanical analogue of electromagnetic induction for waves in a chiral
  elastic structure},
    author={Finn J.P. Allison, Ozgur Selsil, Stewart G. Haslinger, Alexander B.
  Movchan},
    journal={arXiv preprint arXiv:2402.12853},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.12853},
    primaryClass={physics.class-ph cs.NA math.NA}
}