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Nonlinear mode saturation in a U-shaped micro-resonator

Saturation is an intriguing phenomenon that has captured the attention of scientists since the time of Froude when he reported it for ship motion in the mid of the nineteenth century. This work presents the demonstration and a comprehensive study of the nonlinear saturation phenomenon on a compound...

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Autores principales: Rocha, Rodrigo T., Younis, Mohammad I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9213437/
https://www.ncbi.nlm.nih.gov/pubmed/35729242
http://dx.doi.org/10.1038/s41598-022-14657-1
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author Rocha, Rodrigo T.
Younis, Mohammad I.
author_facet Rocha, Rodrigo T.
Younis, Mohammad I.
author_sort Rocha, Rodrigo T.
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description Saturation is an intriguing phenomenon that has captured the attention of scientists since the time of Froude when he reported it for ship motion in the mid of the nineteenth century. This work presents the demonstration and a comprehensive study of the nonlinear saturation phenomenon on a compound micromachined structure of U-shape (micro portal frame). The frame is designed and fabricated as a multi-input and multi-output device for actuating the 1st (sway) and 2nd (symmetric) in-plane vibration modes. Geometric nonlinearities along with the softening effect of the electrostatic force present the necessary conditions for the activation of a 2:1 internal (auto-parametric) resonance between the 1st and 2nd modes. Experimental data complemented with analytical simulations are obtained showing the internal resonance and the saturation phenomenon. These results are promising for further exploration of such compound structures and for further in-depth studies of the saturation phenomenon on a variety of other systems and applications.
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spelling pubmed-92134372022-06-23 Nonlinear mode saturation in a U-shaped micro-resonator Rocha, Rodrigo T. Younis, Mohammad I. Sci Rep Article Saturation is an intriguing phenomenon that has captured the attention of scientists since the time of Froude when he reported it for ship motion in the mid of the nineteenth century. This work presents the demonstration and a comprehensive study of the nonlinear saturation phenomenon on a compound micromachined structure of U-shape (micro portal frame). The frame is designed and fabricated as a multi-input and multi-output device for actuating the 1st (sway) and 2nd (symmetric) in-plane vibration modes. Geometric nonlinearities along with the softening effect of the electrostatic force present the necessary conditions for the activation of a 2:1 internal (auto-parametric) resonance between the 1st and 2nd modes. Experimental data complemented with analytical simulations are obtained showing the internal resonance and the saturation phenomenon. These results are promising for further exploration of such compound structures and for further in-depth studies of the saturation phenomenon on a variety of other systems and applications. Nature Publishing Group UK 2022-06-21 /pmc/articles/PMC9213437/ /pubmed/35729242 http://dx.doi.org/10.1038/s41598-022-14657-1 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Rocha, Rodrigo T.
Younis, Mohammad I.
Nonlinear mode saturation in a U-shaped micro-resonator
title Nonlinear mode saturation in a U-shaped micro-resonator
title_full Nonlinear mode saturation in a U-shaped micro-resonator
title_fullStr Nonlinear mode saturation in a U-shaped micro-resonator
title_full_unstemmed Nonlinear mode saturation in a U-shaped micro-resonator
title_short Nonlinear mode saturation in a U-shaped micro-resonator
title_sort nonlinear mode saturation in a u-shaped micro-resonator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9213437/
https://www.ncbi.nlm.nih.gov/pubmed/35729242
http://dx.doi.org/10.1038/s41598-022-14657-1
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