Wave propagation in one-dimensional nonlinear acoustic metamaterials
The propagation of waves in nonlinear acoustic metamaterial (NAM) is fundamentally different from that in conventional linear ones. In this article we consider two one-dimensional (1D) NAM systems featuring respectively a diatomic and a tetratomic meta unit-cell. We investigate the attenuation of wa...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa6d49 |
| _version_ | 1827873551419441152 |
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| author | Xin Fang Jihong Wen Bernard Bonello Jianfei Yin Dianlong Yu |
| author_facet | Xin Fang Jihong Wen Bernard Bonello Jianfei Yin Dianlong Yu |
| author_sort | Xin Fang |
| collection | DOAJ |
| description | The propagation of waves in nonlinear acoustic metamaterial (NAM) is fundamentally different from that in conventional linear ones. In this article we consider two one-dimensional (1D) NAM systems featuring respectively a diatomic and a tetratomic meta unit-cell. We investigate the attenuation of waves, band structures, and bifurcations to demonstrate novel nonlinear effects, which can significantly expand the bandwidth for elastic wave suppression and cause nonlinear wave phenomena. The harmonic averaging approach, continuation algorithm, and Lyapunov exponents (LEs) are combined to study the frequency responses, nonlinear modes, bifurcations of periodic solutions, and chaos. The nonlinear resonances are studied, and the influence of damping on hyperchaotic attractors is evaluated. Moreover, a ‘quantum’ behavior is found between the low-energy and high-energy orbits. This work provides a theoretical base for furthering understandings and applications of NAMs. |
| first_indexed | 2024-03-12T16:38:43Z |
| format | Article |
| id | doaj.art-a6db674b73724cc596a49c0871fe3e9d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:38:43Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a6db674b73724cc596a49c0871fe3e9d2023-08-08T14:38:52ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119505300710.1088/1367-2630/aa6d49Wave propagation in one-dimensional nonlinear acoustic metamaterialsXin Fang0Jihong Wen1Bernard Bonello2Jianfei Yin3Dianlong Yu4Laboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology , Changsha 410073, Hunan, People’s Republic of ChinaLaboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology , Changsha 410073, Hunan, People’s Republic of ChinaInstitut des NanoSciences de Paris (INSP-UMR CNRS 7588), Université Pierre et Marie Curie (box 840) 4 , place Jussieu, F-75252 Paris Cedex 05, FranceLaboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology , Changsha 410073, Hunan, People’s Republic of ChinaLaboratory of Science and Technology on Integrated Logistics Support, National University of Defense Technology , Changsha 410073, Hunan, People’s Republic of ChinaThe propagation of waves in nonlinear acoustic metamaterial (NAM) is fundamentally different from that in conventional linear ones. In this article we consider two one-dimensional (1D) NAM systems featuring respectively a diatomic and a tetratomic meta unit-cell. We investigate the attenuation of waves, band structures, and bifurcations to demonstrate novel nonlinear effects, which can significantly expand the bandwidth for elastic wave suppression and cause nonlinear wave phenomena. The harmonic averaging approach, continuation algorithm, and Lyapunov exponents (LEs) are combined to study the frequency responses, nonlinear modes, bifurcations of periodic solutions, and chaos. The nonlinear resonances are studied, and the influence of damping on hyperchaotic attractors is evaluated. Moreover, a ‘quantum’ behavior is found between the low-energy and high-energy orbits. This work provides a theoretical base for furthering understandings and applications of NAMs.https://doi.org/10.1088/1367-2630/aa6d49nonlinear acoustic metamaterialwave propagationband structurenonlinear dynamicschaos |
| spellingShingle | Xin Fang Jihong Wen Bernard Bonello Jianfei Yin Dianlong Yu Wave propagation in one-dimensional nonlinear acoustic metamaterials New Journal of Physics nonlinear acoustic metamaterial wave propagation band structure nonlinear dynamics chaos |
| title | Wave propagation in one-dimensional nonlinear acoustic metamaterials |
| title_full | Wave propagation in one-dimensional nonlinear acoustic metamaterials |
| title_fullStr | Wave propagation in one-dimensional nonlinear acoustic metamaterials |
| title_full_unstemmed | Wave propagation in one-dimensional nonlinear acoustic metamaterials |
| title_short | Wave propagation in one-dimensional nonlinear acoustic metamaterials |
| title_sort | wave propagation in one dimensional nonlinear acoustic metamaterials |
| topic | nonlinear acoustic metamaterial wave propagation band structure nonlinear dynamics chaos |
| url | https://doi.org/10.1088/1367-2630/aa6d49 |
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