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Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams
Overhang provides a simple but effective way of coupling (sub)structures, which has been widely adopted in the applications of optomechanics, electromechanics, mass sensing resonators, etc. Despite its simplicity, an overhanging structure demonstrates rich and complex dynamics such as mode splitting...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8003435/ https://www.ncbi.nlm.nih.gov/pubmed/33808563 http://dx.doi.org/10.3390/mi12030324 |
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author | Zhang, Yin Petrov, Yuri Zhao, Ya-pu |
author_facet | Zhang, Yin Petrov, Yuri Zhao, Ya-pu |
author_sort | Zhang, Yin |
collection | PubMed |
description | Overhang provides a simple but effective way of coupling (sub)structures, which has been widely adopted in the applications of optomechanics, electromechanics, mass sensing resonators, etc. Despite its simplicity, an overhanging structure demonstrates rich and complex dynamics such as mode splitting, localization and eigenfrequency veering. When an eigenfrequency veering occurs, two eigenfrequencies are very close to each other, and the error associated with the numerical discretization procedure can lead to wrong and unphysical computational results. A method of computing the eigenfrequency of two overhanging beams, which involves no numerical discretization procedure, is analytically derived. Based on the method, the mode localization and eigenfrequency veering of the overhanging beams are systematically studied and their variation patterns are summarized. The effects of the overhang geometry and beam mechanical properties on the eigenfrequency veering are also identified. |
format | Online Article Text |
id | pubmed-8003435 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-80034352021-03-28 Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams Zhang, Yin Petrov, Yuri Zhao, Ya-pu Micromachines (Basel) Article Overhang provides a simple but effective way of coupling (sub)structures, which has been widely adopted in the applications of optomechanics, electromechanics, mass sensing resonators, etc. Despite its simplicity, an overhanging structure demonstrates rich and complex dynamics such as mode splitting, localization and eigenfrequency veering. When an eigenfrequency veering occurs, two eigenfrequencies are very close to each other, and the error associated with the numerical discretization procedure can lead to wrong and unphysical computational results. A method of computing the eigenfrequency of two overhanging beams, which involves no numerical discretization procedure, is analytically derived. Based on the method, the mode localization and eigenfrequency veering of the overhanging beams are systematically studied and their variation patterns are summarized. The effects of the overhang geometry and beam mechanical properties on the eigenfrequency veering are also identified. MDPI 2021-03-19 /pmc/articles/PMC8003435/ /pubmed/33808563 http://dx.doi.org/10.3390/mi12030324 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) ). |
spellingShingle | Article Zhang, Yin Petrov, Yuri Zhao, Ya-pu Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title | Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title_full | Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title_fullStr | Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title_full_unstemmed | Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title_short | Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams |
title_sort | mode localization and eigenfrequency curve veerings of two overhanged beams |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8003435/ https://www.ncbi.nlm.nih.gov/pubmed/33808563 http://dx.doi.org/10.3390/mi12030324 |
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