Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams | |
Zhang Y(张吟)1,2; Petrov Yuri3,4; Zhao YP(赵亚溥)1,2 | |
Corresponding Author | Zhang, Yin([email protected]) |
Source Publication | MICROMACHINES |
2021-03-01 | |
Volume | 12Issue:3Pages:19 |
Abstract | 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. |
Keyword | overhang mode localization eigenfrequency curve veering mode splitting |
DOI | 10.3390/mi12030324 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000633921200001 |
WOS Research Area | Chemistry ; Science & Technology - Other Topics ; Instruments & Instrumentation ; Physics |
WOS Subject | Chemistry, Analytical ; Nanoscience & Nanotechnology ; Instruments & Instrumentation ; Physics, Applied |
Funding Project | National Natural Science Foundation of China (NSFC)[11772335] ; National Natural Science Foundation of China (NSFC)[51861145314] ; National Natural Science Foundation of China (NSFC)[11872363] ; Chinese Academy of Sciences (CAS) Key Research Program of Frontier Sciences[QYZDJ-SSW-JSC019] ; CAS Strategic Priority Research Program[XDB22020201] ; CAS Strategic Priority Research Program[XDB22040401] ; Russian Foundation for Basic Research[18-51-80008] |
Funding Organization | National Natural Science Foundation of China (NSFC) ; Chinese Academy of Sciences (CAS) Key Research Program of Frontier Sciences ; CAS Strategic Priority Research Program ; Russian Foundation for Basic Research |
Classification | 二类 |
Ranking | 1 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/86345 |
Collection | 非线性力学国家重点实验室 |
Affiliation | 1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.St Petersburg State Univ, Fac Math & Mech, St Petersburg 198504, Russia; 4.Inst Problems Mech Engn, St Petersburg 199178, Russia |
Recommended Citation GB/T 7714 | Zhang Y,Petrov Yuri,Zhao YP. Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams[J]. MICROMACHINES,2021,12,3,:19. |
APA | 张吟,Petrov Yuri,&赵亚溥.(2021).Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams.MICROMACHINES,12(3),19. |
MLA | 张吟,et al."Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams".MICROMACHINES 12.3(2021):19. |
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Jp2021146.pdf(475KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download |
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