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Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes
Nonlinear modal interactions have recently become the focus of intense research in micro- and nanoscale resonators for their use to improve oscillator performance and probe the frontiers of fundamental physics. However, our understanding of modal coupling is largely restricted to clamped-clamped bea...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4790629/ https://www.ncbi.nlm.nih.gov/pubmed/26961749 http://dx.doi.org/10.1038/srep22897 |
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author | Kirkendall, Christopher R. Kwon, Jae W. |
author_facet | Kirkendall, Christopher R. Kwon, Jae W. |
author_sort | Kirkendall, Christopher R. |
collection | PubMed |
description | Nonlinear modal interactions have recently become the focus of intense research in micro- and nanoscale resonators for their use to improve oscillator performance and probe the frontiers of fundamental physics. However, our understanding of modal coupling is largely restricted to clamped-clamped beams, and lacking in systems with both geometric and material nonlinearities. Here we report multistable energy transfer between internally resonant modes of an electroelastic crystal plate and use a mixed analytical-numerical approach to provide new insight into these complex interactions. Our results reveal a rich bifurcation structure marked by nested regions of multistability. Even the simple case of two coupled modes generates a host of topologically distinct dynamics over the parameter space, ranging from the usual Duffing bistability to complex multistable behaviour and quasiperiodic motion. |
format | Online Article Text |
id | pubmed-4790629 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-47906292016-03-16 Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes Kirkendall, Christopher R. Kwon, Jae W. Sci Rep Article Nonlinear modal interactions have recently become the focus of intense research in micro- and nanoscale resonators for their use to improve oscillator performance and probe the frontiers of fundamental physics. However, our understanding of modal coupling is largely restricted to clamped-clamped beams, and lacking in systems with both geometric and material nonlinearities. Here we report multistable energy transfer between internally resonant modes of an electroelastic crystal plate and use a mixed analytical-numerical approach to provide new insight into these complex interactions. Our results reveal a rich bifurcation structure marked by nested regions of multistability. Even the simple case of two coupled modes generates a host of topologically distinct dynamics over the parameter space, ranging from the usual Duffing bistability to complex multistable behaviour and quasiperiodic motion. Nature Publishing Group 2016-03-10 /pmc/articles/PMC4790629/ /pubmed/26961749 http://dx.doi.org/10.1038/srep22897 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Kirkendall, Christopher R. Kwon, Jae W. Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title | Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title_full | Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title_fullStr | Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title_full_unstemmed | Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title_short | Multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
title_sort | multistable internal resonance in electroelastic crystals with nonlinearly coupled modes |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4790629/ https://www.ncbi.nlm.nih.gov/pubmed/26961749 http://dx.doi.org/10.1038/srep22897 |
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