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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/12/3/324 |
| _version_ | 1797540794547044352 |
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| author | Yin Zhang Yuri Petrov Ya-pu Zhao |
| author_facet | Yin Zhang Yuri Petrov Ya-pu Zhao |
| author_sort | Yin Zhang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T13:06:02Z |
| format | Article |
| id | doaj.art-a25dad59ed9c4584a319e8eaf99619f4 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-10T13:06:02Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-a25dad59ed9c4584a319e8eaf99619f42023-11-21T11:07:39ZengMDPI AGMicromachines2072-666X2021-03-0112332410.3390/mi12030324Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged BeamsYin Zhang0Yuri Petrov1Ya-pu Zhao2State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaFaculty of Mathematics and Mechanics, St-Petersburg State University, 198504 St-Petersburg, RussiaState Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaOverhang 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.https://www.mdpi.com/2072-666X/12/3/324overhangmode localizationeigenfrequency curve veeringmode splitting |
| spellingShingle | Yin Zhang Yuri Petrov Ya-pu Zhao Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams Micromachines overhang mode localization eigenfrequency curve veering mode splitting |
| 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 | overhang mode localization eigenfrequency curve veering mode splitting |
| url | https://www.mdpi.com/2072-666X/12/3/324 |
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