Mode Localization and Eigenfrequency Curve Veerings of Two Overhanged Beams
Zhang Y(张吟)1,4; Petrov Yuri2,3; Zhao YP(赵亚溥)1,4
刊名MICROMACHINES
2021-03-01
卷号12期号:3页码:19
关键词overhang mode localization eigenfrequency curve veering mode splitting
DOI10.3390/mi12030324
通讯作者Zhang, Yin(zhangyin@lnm.imech.ac.cn)
英文摘要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.
分类号二类
资助项目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]
WOS研究方向Chemistry ; Science & Technology - Other Topics ; Instruments & Instrumentation ; Physics
语种英语
WOS记录号WOS:000633921200001
资助机构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
内容类型期刊论文
源URL[http://dspace.imech.ac.cn/handle/311007/86344]  
专题力学研究所_非线性力学国家重点实验室
作者单位1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China;
2.Inst Problems Mech Engn, St Petersburg 199178, Russia
3.St Petersburg State Univ, Fac Math & Mech, St Petersburg 198504, Russia;
4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China;
推荐引用方式
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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