Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Meccanica
Published in: Meccanica 9/2017

04-10-2016

Simultaneous determination of position and mass of a particle by the vibration of a diaphragm-based nanomechanical resonator

Authors: Shujun Ma, Qiang Xiu

Published in: Meccanica | Issue 9/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We present a theoretical analysis of the vibration of a suspended circular diaphragm resonator with a particle at an arbitrary location when considering the effects of plate stiffness and membrane tension in the diaphragm. The analytical expression relating position and mass of a particle attached on a stretched diaphragm with varying residual stress to the resulting shifts in diaphragm resonant frequency is derived. It has been shown that the particle position and mass for the diaphragm configuration can be unambiguously resolved by combining resonant frequencies of the first three consecutive symmetric vibration modes. This finding is verified numerically in finite element modeling using a freestanding circular diaphragm with and without an added particle, and it proves that the method resolves the particle position and mass with high accuracy.
previous article Cessation of Newtonian circular and plane Couette flows with wall slip and non-zero slip yield stress
next article On the determination of deformation from strain

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Kim D, Hong S, Jang J, Park J (2013) Simultaneous determination of position and mass in the cantilever sensor using transfer function method. Appl Phys Lett 103:033108ADSCrossRef
2.
Stachiv I, Fedorchenko AI, Chen Y-L (2012) Mass detection by means of the vibrating nanomechanical resonators. Appl Phys Lett 100:093110ADSCrossRef
3.
Wu WH, Zhu KD (2015) Hybrid spin-microcantilever sensor for environmental, chemical, and biological detection. Nanotechnology 26:015501ADSCrossRef
4.
Isarakorn D, Briand D, Sambri A, Gariglio S, Triscone J-M, Guy F, Reiner JW, Ahn CH, de Rooij NF (2011) Finite element analysis and experiments on a silicon membrane actuated by an epitaxial PZT thin film for localized-mass sensing applications. Sens Actuators B 153:54–63CrossRef
5.
Gil-Santos E, Ramos D, Martinez J, Fernandez-Regulez M, Garcıa R, San Paulo A, Calleja M, Tamayo J (2010) Nanomechanical mass sensing and stiffness spectrometry based on two-dimensional vibrations of resonant nanowires. Nat Nanotechnol 5:641–645ADSCrossRef
6.
Yang YT, Callegari C, Feng XL, Ekinci KL, Roukes ML (2006) Zeptogram-scale nanomechanical mass sensing. Nano Lett 6:583–586ADSCrossRef
7.
Park J, Qin H, Scalf M, Hilger RT, Westphall MS, Smith LM, Blick RH (2011) A mechanical nanomembrane detector for time-of-flight mass spectrometry. Nano Lett 11:3681–3684ADSCrossRef
8.
Chaste J, Eichler A, Moser J, Ceballos G, Rurali R, Bachtold A (2012) A nanomechanical mass sensor with yoctogram resolution. Nat Nanotechnol 7:301ADSCrossRef
9.
Jensen K, Kim K, Zettl A (2008) An atomic-resolution nanomechanical mass sensor. Nat Nanotechnol 3:533–537ADSCrossRef
10.
Hanay MS, Kelber S, Naik AK, Chi D, Hentz S, Bullard CE, Colinet E, Duraffourg L, Roukes ML (2012) Single-protein nanomechanical mass spectrometry in real time. Nat Nanotechnol 7:602–608ADSCrossRef
11.
Lavrik NV, Sepaniak MJ, Datskos PG (2004) Cantilever transducers as a platform for chemical and biological sensors. Rev Sci Instrum 75:2229–2253ADSCrossRef
12.
Dohn S, Svendsen W, Boisen A, Hansen O (2007) Mass and position determination of attached particles on cantilever based mass sensors. Rev Sci Instrum 78:103303ADSCrossRef
13.
Dohn S, Schmid S, Amiot F, Boisen A (2010) Position and mass determination of multiple particles using cantilever based mass sensors. Appl Phys Lett 97:044103ADSCrossRef
14.
Schmid S, Dohn S, Boisen A (2010) Real-time particle mass spectrometry based on resonant micro strings. Sensors 10:8092–8100CrossRef
15.
Naik AK, Hanay MS, Hiebert WK, Feng XL, Roukes ML (2009) Towards single-molecule nanomechanical mass spectrometry. Nat Nanotechnol 4:445–450ADSCrossRef
16.
Wu HY, Zhu SJ (2014) Dynamic response of sensor diaphragm with residual stress in contact with liquids. J Sound Vib 333:3702–3708ADSCrossRef
17.
Carlen ET, Weinberg MS, Dube CE, Zapata AM, Borenstein JT (2006) Micromachined silicon plates for sensing molecular interactions. Appl Phys Lett 89:173123ADSCrossRef
18.
Nicu L, Guirardel M, Chambosse F, Rougerie P, Hinh S, Trevisiol E, Francois JM, Majoral JP, Caminade AM, Cattan E, Bergaud C (2005) Resonating piezoelectric membranes for microelectromechanically based bioassay: detection of streptavidin–gold nanoparticles interaction with biotinylated DNA. Sens Actuators B 110:125–136CrossRef
19.
Olfatnia M, Shen Z, Miao JM, Ong LS, Xu T, Ebrahimi M (2011) Medium damping influences on the resonant frequency and quality factor of piezoelectric circular microdiaphragm sensors. J Micromech Microeng 21:045002CrossRef
20.
Gualdino A, Chu V, Conde JP (2013) Study of the out-of-plane vibrational modes in thin-film amorphous silicon micromechanical disk resonators. J Appl Phys 113:174904ADSCrossRef
21.
Xu T, Wang ZH, Miao JM, Yu L, Li CM (2008) Micro-machined piezoelectric membrane-based immunosensor array. Biosens Bioelectron 24:638–643CrossRef
22.
Alava T, Mathieu F, Rameil P, Morel Y, Soyer C, Remiens D, Nicu L (2010) Piezoelectric-actuated, piezoresistive-sensed circular micromembranes for label-free biosensing applications. Appl Phys Lett 97:093703ADSCrossRef
23.
Xin Y, Li ZM, Odum L, Cheng Z-Y, Xu Z (2006) Piezoelectric diaphragm as a high performance biosensor platform. Appl Phys Lett 89:223508ADSCrossRef
24.
Chae M-S, Lee S-M, Yoo YK, Lee SH, Kim J, Kim TS, Ann DJ, Lee JH, Hwang KS (2014) Fabrication and characterization of piezoelectric driven microdiaphragm resonating sensor for a biosensing application. J Electroceram 32:383–389CrossRef
25.
Zhang Y, Zhao YP (2014) Detecting the mass and position of an adsorbate on a drum resonator. Proc R Soc Lond Ser A 470:20140418ADSCrossRef
26.
Chang WJ, Lee HL (2014) Mass detection using a double-layer circular graphene-based nanomechanical resonator. J Appl Phys 116:034303ADSCrossRef
27.
Atalaya J, Kinaret JM, Isacsson A (2010) Nanomechanical mass measurement using nonlinear response of a graphene membrane. EPL 91:48001ADSCrossRef
28.
Asemi HR, Asemi SR, Farajpour A, Mohammadi M (2015) Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads. Phys E 68:112–122CrossRef
29.
Lee H-L, Yang Y-C, Chang W-J (2013) Mass detection using a graphene-based nanomechanical resonator. Jpn J Appl Phys 52:025101ADSCrossRef
30.
Dai MD, Kim C-W, Eom K (2012) Nonlinear vibration behavior of graphene resonators and their applications in sensitive mass detection. Nanoscale Res Lett 7:499ADSCrossRef
31.
Lei XW, Natsuki T, Shi JX, Ni QQ (2013) An atomic-resolution nanomechanical mass sensor based on circular monolayer graphene sheet: theoretical analysis of vibrational properties. J Appl Phys 113:154313ADSCrossRef
32.
Bambill DV, La Malfa S, Rossit CA, Laura PAA (2004) Analytical and experimental investigation on transverse vibrations of solid, circular and annular plates carrying a concentrated mass at an arbitrary position with marine applications. Ocean Eng 31:127–138CrossRef
33.
Zhou SM, Sheng LP, Shen ZB (2014) Transverse vibration of circular graphene sheet-based mass sensor via nonlocal Kirchhoff plate theory. Comput Mater Sci 86:73–78CrossRef
34.
Lee J, Wang ZH, He KL, Shan J, Feng PX-L (2013) High frequency MoS2 nanomechanical resonators. ACS Nano 7:6086–6091CrossRef
35.
Castellanos-Gomez A, van Leeuwen R, Buscema M, van der Zant HSJ, Steele GA, Venstra WJ (2013) Single-layer MoS2 mechanical resonators. Adv Mater 25:6719–6723CrossRef
36.
Ma SJ, Wang SL, Iacopi F, Huang H (2013) A resonant method for determining the residual stress and elastic modulus of a thin film. Appl Phys Lett 103:031603ADSCrossRef
37.
Olfatnia M, Xu T, Ong LS, Miao JM, Wang ZH (2010) Investigation of residual stress and its effects on the vibrational characteristics of piezoelectric-based multilayered microdiaphragms. J Micromech Microeng 20:015007CrossRef
38.
Yu M, Balachandran B (2005) Sensor diaphragm under initial tension: linear analysis. Soc Exp Mech 45:123–129CrossRef
39.
Weaver W, Young DH, Timoshenko S (1990) Vibration problems in engineering. Wiley, New York
40.
Ranjan V, Ghosh MK (2006) Transverse vibration of thin solid and annular circular plate with attached discrete masses. J Sound Vib 292:999–1003ADSCrossRef
41.
Maiz S, Rossit CA, Bambill DV, Susca A (2009) Transverse vibrations of a clamped elliptical plate carrying a concentrated mass at an arbitrary position. J Sound Vib 320:1146–1163ADSCrossRef
Metadata
Title
Simultaneous determination of position and mass of a particle by the vibration of a diaphragm-based nanomechanical resonator
Authors
Shujun Ma
Qiang Xiu
Publication date
04-10-2016
Publisher
Springer Netherlands
Published in
Meccanica / Issue 9/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0544-6

Other articles of this Issue 9/2017

Meccanica 9/2017 Go to the issue

OriginalPaper

Methodologies for weight estimation of fixed and flapping wing micro air vehicles

OriginalPaper

Thermal and tensile loading effects on size-dependent vibration response of traveling nanobeam by wavelet-based spectral element modeling

OriginalPaper

Framework of modelling concentric tube robot and comparison on computational efficiency

OriginalPaper

A Reissner-type plate theory for monoclinic material derived by extending the uniform-approximation technique by orthogonal tensor decompositions of nth-order gradients

OriginalPaper

Dead-zone effect on the performance of state estimators for hydraulic actuators

OriginalPaper

Nonlinear dynamic analysis for coupled vehicle-bridge system with harmonic excitation

Premium Partners

    Image Credits