A mechanical analogue of electromagnetic induction for waves in a chiral elastic structure
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911911411449856 |
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| author | Allison, Finn J. P. Selsil, Ozgur Haslinger, Stewart G. Movchan, Alexander B. |
| author_facet | Allison, Finn J. P. Selsil, Ozgur Haslinger, Stewart G. Movchan, Alexander B. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12853 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A mechanical analogue of electromagnetic induction for waves in a chiral elastic structure Allison, Finn J. P. Selsil, Ozgur Haslinger, Stewart G. Movchan, Alexander B. Classical Physics Numerical Analysis 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. |
| title | A mechanical analogue of electromagnetic induction for waves in a chiral elastic structure |
| topic | Classical Physics Numerical Analysis |
| url | https://arxiv.org/abs/2402.12853 |