Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Mode localization and eigenfrequency curve veerings of two overhanged beams. / Zhang, Yin; Petrov, Yuri; Zhao, Ya Pu.
в: Micromachines, Том 12, № 3, 324, 19.03.2021.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Mode localization and eigenfrequency curve veerings of two overhanged beams
AU - Zhang, Yin
AU - Petrov, Yuri
AU - Zhao, Ya Pu
N1 - Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/3/19
Y1 - 2021/3/19
N2 - 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.
AB - 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.
KW - Eigenfrequency curve veering
KW - Mode localization
KW - Mode splitting
KW - Overhang
KW - overhang
KW - mode localization
KW - eigenfrequency curve veering
KW - mode splitting
UR - http://www.scopus.com/inward/record.url?scp=85103493518&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/3ec7ab90-9b97-3564-9d82-d3f27a729c99/
U2 - 10.3390/mi12030324
DO - 10.3390/mi12030324
M3 - Article
AN - SCOPUS:85103493518
VL - 12
JO - Micromachines
JF - Micromachines
SN - 2072-666X
IS - 3
M1 - 324
ER -
ID: 76243952