Detecting Both the Mass and Position of an Accreted Particle by a Micro/Nano-Mechanical Resonator Sensor

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	Detecting Both the Mass and Position of an Accreted Particle by a Micro/Nano-Mechanical Resonator Sensor
	Zhang Y(张吟); Liu Y; Zhang Y(张吟)
刊名	Sensors (Basel)
	2014-09
通讯作者邮箱	zhangyin@lnm.imech.ac.cn; liuyunkm@126.com
卷号	14 期号:9 页码:16296-16310
关键词	inverse problem mass sensing resonator sensor resonant frequency Galerkin method
ISSN号	1424-8220
通讯作者	张吟
产权排序	[Zhang, Yin] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China; [Liu, Yun] Kunming Univ Sci & Technol, Fac Informat & Automat, Kunming 650051, Peoples R China
合作状况	国内
中文摘要	In the application of a micro-/nano-mechanical resonator, the position of an accreted particle and the resonant frequencies are measured by two different physical systems. Detecting the particle position sometimes can be extremely difficult or even impossible, especially when the particle is as small as an atom or a molecule. Using the resonant frequencies to determine the mass and position of an accreted particle formulates an inverse problem. The Dirac delta function and Galerkin method are used to model and formulate an eigenvalue problem of a beam with an accreted particle. An approximate method is proposed by ignoring the off-diagonal elements of the eigenvalue matrix. Based on the approximate method, the mass and position of an accreted particle can be decoupled and uniquely determined by measuring at most three resonant frequencies. The approximate method is demonstrated to be very accurate when the particle mass is small, which is the application scenario for much of the mass sensing of micro-/nano-mechanical resonators. By solving the inverse problem, the position measurement becomes unnecessary, which is of some help to the mass sensing application of a micro-/nano-mechanical resonator by reducing two measurement systems to one. How to apply the method to the general scenario of multiple accreted particles is also discussed.
分类号	二类/Q1
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.3390/s140916296
语种	英语
WOS记录号	WOS:000343106600040
公开日期	2014-09-02
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/49025]
专题	力学研究所_非线性力学国家重点实验室
通讯作者	Zhang Y(张吟)
推荐引用方式 GB/T 7714	Zhang Y,Liu Y,Zhang Y. Detecting Both the Mass and Position of an Accreted Particle by a Micro/Nano-Mechanical Resonator Sensor[J]. Sensors (Basel),2014,14(9):16296-16310.
APA	Zhang Y,Liu Y,&张吟.(2014).Detecting Both the Mass and Position of an Accreted Particle by a Micro/Nano-Mechanical Resonator Sensor.Sensors (Basel),14(9),16296-16310.
MLA	Zhang Y,et al."Detecting Both the Mass and Position of an Accreted Particle by a Micro/Nano-Mechanical Resonator Sensor".Sensors (Basel) 14.9(2014):16296-16310.