Discrete Euler–Bernoulli beam lattices with beyond nearest connections
The propagation of elastic waves on discrete periodic Euler–Bernoulli mass-beam lattices is characterised by the competition between coupled translational and rotational degrees-of-freedom at the mass-beam junctions. We influence the dynamics of this system by coupling junctions with beyond-nearest-...
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adaf50 |
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| _version_ | 1832086589174448128 |
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| author | R G Edge E Paul K H Madine D J Colquitt T A Starkey G J Chaplain |
| author_facet | R G Edge E Paul K H Madine D J Colquitt T A Starkey G J Chaplain |
| author_sort | R G Edge |
| collection | DOAJ |
| description | The propagation of elastic waves on discrete periodic Euler–Bernoulli mass-beam lattices is characterised by the competition between coupled translational and rotational degrees-of-freedom at the mass-beam junctions. We influence the dynamics of this system by coupling junctions with beyond-nearest-neighbour spatial connections, affording freedom over the locality of dispersion extrema in reciprocal space, facilitating the emergence of interesting dispersion relations. A generalised dispersion relation for an infinite monatomic mass-beam chain, with any integer order combination of non-local spatial connections, is presented. We demonstrate that competing power channels, between mass and rotational inertia, drive the position and existence of zero group velocity modes within the first Brillouin zone. |
| format | Article |
| id | doaj-art-a79fc425aeed45a98f7ee8a5de600796 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-a79fc425aeed45a98f7ee8a5de6007962025-02-06T11:19:01ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202300710.1088/1367-2630/adaf50Discrete Euler–Bernoulli beam lattices with beyond nearest connectionsR G Edge0https://orcid.org/0009-0002-1554-2374E Paul1https://orcid.org/0009-0006-6993-6626K H Madine2https://orcid.org/0000-0001-6135-5495D J Colquitt3https://orcid.org/0000-0001-5637-1626T A Starkey4https://orcid.org/0000-0001-6027-1046G J Chaplain5https://orcid.org/0000-0001-9868-8453Centre for Metamaterial Research and Innovation, Department of Physics and Astronomy, University of Exeter , Exeter EX4 4QL, United KingdomCentre for Metamaterial Research and Innovation, Department of Physics and Astronomy, University of Exeter , Exeter EX4 4QL, United KingdomDepartment of Mathematical Sciences, University of Liverpool , Liverpool L69 7ZL, United KingdomDepartment of Mathematical Sciences, University of Liverpool , Liverpool L69 7ZL, United KingdomCentre for Metamaterial Research and Innovation, Department of Physics and Astronomy, University of Exeter , Exeter EX4 4QL, United KingdomCentre for Metamaterial Research and Innovation, Department of Physics and Astronomy, University of Exeter , Exeter EX4 4QL, United KingdomThe propagation of elastic waves on discrete periodic Euler–Bernoulli mass-beam lattices is characterised by the competition between coupled translational and rotational degrees-of-freedom at the mass-beam junctions. We influence the dynamics of this system by coupling junctions with beyond-nearest-neighbour spatial connections, affording freedom over the locality of dispersion extrema in reciprocal space, facilitating the emergence of interesting dispersion relations. A generalised dispersion relation for an infinite monatomic mass-beam chain, with any integer order combination of non-local spatial connections, is presented. We demonstrate that competing power channels, between mass and rotational inertia, drive the position and existence of zero group velocity modes within the first Brillouin zone.https://doi.org/10.1088/1367-2630/adaf50beam theorydispersion curvesnon-local coupling |
| spellingShingle | R G Edge E Paul K H Madine D J Colquitt T A Starkey G J Chaplain Discrete Euler–Bernoulli beam lattices with beyond nearest connections New Journal of Physics beam theory dispersion curves non-local coupling |
| title | Discrete Euler–Bernoulli beam lattices with beyond nearest connections |
| title_full | Discrete Euler–Bernoulli beam lattices with beyond nearest connections |
| title_fullStr | Discrete Euler–Bernoulli beam lattices with beyond nearest connections |
| title_full_unstemmed | Discrete Euler–Bernoulli beam lattices with beyond nearest connections |
| title_short | Discrete Euler–Bernoulli beam lattices with beyond nearest connections |
| title_sort | discrete euler bernoulli beam lattices with beyond nearest connections |
| topic | beam theory dispersion curves non-local coupling |
| url | https://doi.org/10.1088/1367-2630/adaf50 |
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