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 Publication | ACTA MECHANICA SINICA |
2012-02-01 | |
Volume | 28Issue:1Pages:190-200 |
ISSN | 0567-7718 |
Abstract | Nonlinear 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. |
Keyword | Resonator 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 |
URL | 查看原文 |
Indexed By | SCI ; EI ; CSCD |
Language | 英语 |
WOS ID | WOS:000300918300022 |
Funding Organization | The project was supported by the National Natural Science Foundation of China (10721202 and 11023001) and the Chinese Academy of Sciences (KJCX2-EW-L03). |
Department | LNM纳/微系统力学与物理力学 |
Classification | 二类 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/46700 |
Collection | 非线性力学国家重点实验室 |
Corresponding Author | Zhang, 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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