Utilization of 2:1 Internal Resonance in Microsystems

In this paper, the nonlinear mode coupling at 2:1 internal resonance has been studied both analytically and experimentally. A modified micro T-beam structure is proposed, and the equations of motion are developed using Lagrange’s energy method. A two-variable expansion perturbation method is used to...

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Autores principales: Noori, Navid, Sarrafan, Atabak, Golnaraghi, Farid, Bahreyni, Behraad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6187432/
https://www.ncbi.nlm.nih.gov/pubmed/30424381
http://dx.doi.org/10.3390/mi9090448
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author Noori, Navid
Sarrafan, Atabak
Golnaraghi, Farid
Bahreyni, Behraad
author_facet Noori, Navid
Sarrafan, Atabak
Golnaraghi, Farid
Bahreyni, Behraad
author_sort Noori, Navid
collection PubMed
description In this paper, the nonlinear mode coupling at 2:1 internal resonance has been studied both analytically and experimentally. A modified micro T-beam structure is proposed, and the equations of motion are developed using Lagrange’s energy method. A two-variable expansion perturbation method is used to describe the nonlinear behavior of the system. It is shown that in a microresonator with 2:1 internal resonance, the low-frequency mode is autoparametrically excited after the excitation amplitude reaches a certain threshold. The effect of damping on the performance of the system is also investigated.
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spelling pubmed-61874322018-11-01 Utilization of 2:1 Internal Resonance in Microsystems Noori, Navid Sarrafan, Atabak Golnaraghi, Farid Bahreyni, Behraad Micromachines (Basel) Article In this paper, the nonlinear mode coupling at 2:1 internal resonance has been studied both analytically and experimentally. A modified micro T-beam structure is proposed, and the equations of motion are developed using Lagrange’s energy method. A two-variable expansion perturbation method is used to describe the nonlinear behavior of the system. It is shown that in a microresonator with 2:1 internal resonance, the low-frequency mode is autoparametrically excited after the excitation amplitude reaches a certain threshold. The effect of damping on the performance of the system is also investigated. MDPI 2018-09-08 /pmc/articles/PMC6187432/ /pubmed/30424381 http://dx.doi.org/10.3390/mi9090448 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Noori, Navid
Sarrafan, Atabak
Golnaraghi, Farid
Bahreyni, Behraad
Utilization of 2:1 Internal Resonance in Microsystems
title Utilization of 2:1 Internal Resonance in Microsystems
title_full Utilization of 2:1 Internal Resonance in Microsystems
title_fullStr Utilization of 2:1 Internal Resonance in Microsystems
title_full_unstemmed Utilization of 2:1 Internal Resonance in Microsystems
title_short Utilization of 2:1 Internal Resonance in Microsystems
title_sort utilization of 2:1 internal resonance in microsystems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6187432/
https://www.ncbi.nlm.nih.gov/pubmed/30424381
http://dx.doi.org/10.3390/mi9090448
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AT golnaraghifarid utilizationof21internalresonanceinmicrosystems
AT bahreynibehraad utilizationof21internalresonanceinmicrosystems

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