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Nonlinear dynamic response of beam and its application in nanomechanical resonator
Zhang Y(张吟); Liu Y; Murphy KD; Zhang, Y; Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Source PublicationACTA MECHANICA SINICA
2012-02-01
Volume28Issue:1Pages:190-200
ISSN0567-7718
AbstractNonlinear dynamic response of nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvature-dominant nonlinearities are analyzed. The dynamic nonlinearity of four beam structures of nanomechanical resonator is quantitatively studied via a dimensional analysis approach. The dimensional analysis shows that for the nanomechanical resonator of tension-dominant nonlinearity, its dynamic nonlinearity decreases monotonically with increasing axial loading and increases monotonically with the increasing aspect ratio of length to thickness;the dynamic nonlinearity can only result in the hardening effects. However, for the nanomechanical resonator of the curvature-dominant nonlinearity, its dynamic nonlinearity is only dependent on axial loading. Compared with the tension-dominant nonlinearity, the curvature-dominant nonlinearity increases monotonically with increasing axial loading; its dynamic nonlinearity can result in both hardening and softening effects. The analysis on the dynamic nonlinearity can be very helpful to the tuning application of the nanomechanical resonator.
KeywordResonator Dynamic Response Dynamic Nonlinearity Dimensional Analysis Nanoelectromechanical Systems Harmonic Excitation Cantilever Beam Range Oscillators Resonances Frequency Vibration Columns Stress
Subject Area微机电系统中的固体力学问题
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Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000300918300022
Funding OrganizationThe project was supported by the National Natural Science Foundation of China (10721202 and 11023001) and the Chinese Academy of Sciences (KJCX2-EW-L03).
DepartmentLNM纳/微系统力学与物理力学
Classification二类
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/46700
Collection非线性力学国家重点实验室
Corresponding AuthorZhang, Y; Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Zhang Y,Liu Y,Murphy KD,et al. Nonlinear dynamic response of beam and its application in nanomechanical resonator[J]. ACTA MECHANICA SINICA,2012,28(1):190-200.
APA Zhang Y,Liu Y,Murphy KD,Zhang, Y,&Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China..(2012).Nonlinear dynamic response of beam and its application in nanomechanical resonator.ACTA MECHANICA SINICA,28(1),190-200.
MLA Zhang Y,et al."Nonlinear dynamic response of beam and its application in nanomechanical resonator".ACTA MECHANICA SINICA 28.1(2012):190-200.
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