Enhanced Sensitivity and Wave-Structure Interaction in Nonsingular Flat-Band Lattices with Compact Localized States
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909419277647872 |
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| author | Riva, Emanuele Marconi, Jacopo Braghin, Francesco |
| author_facet | Riva, Emanuele Marconi, Jacopo Braghin, Francesco |
| contents | This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all momenta. This unique condition enables the formation of wave modes that are not only highly localized in space and inherently non-propagative-protected by the flatness of the dispersion relation-but also exceptionally sensitive to structural variations due to enhanced wave-structure interaction. These features are first explored on a simple spring-mass lattice and later applied to a microelectromechanical (MEMS) system of oscillators. By exploring the role of flat-band dispersion in mechanics, this work provides new insights into their fundamental dynamics while opening new opportunities for applications in vibration control and the sensitivity analysis of mechanical structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05610 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enhanced Sensitivity and Wave-Structure Interaction in Nonsingular Flat-Band Lattices with Compact Localized States Riva, Emanuele Marconi, Jacopo Braghin, Francesco Applied Physics This paper investigates the dynamics of compact localized modes in one-dimensional flat-band elastic lattices. Flat dispersion arises from destructive interference between neighboring elements, resulting in a zero group velocity across all momenta. This unique condition enables the formation of wave modes that are not only highly localized in space and inherently non-propagative-protected by the flatness of the dispersion relation-but also exceptionally sensitive to structural variations due to enhanced wave-structure interaction. These features are first explored on a simple spring-mass lattice and later applied to a microelectromechanical (MEMS) system of oscillators. By exploring the role of flat-band dispersion in mechanics, this work provides new insights into their fundamental dynamics while opening new opportunities for applications in vibration control and the sensitivity analysis of mechanical structures. |
| title | Enhanced Sensitivity and Wave-Structure Interaction in Nonsingular Flat-Band Lattices with Compact Localized States |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2412.05610 |