A novel experimental technique for determining node location in resonant mode cantilevers

Journal of Micromechanics and Microengineering

Volumn 21, Issue 6, 2011, Pages

  Johnson, Blake N ^a   Mutharasan, Raj ^a  

^a Drexel University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIR LIQUID INTERFACES; CANTILEVER SENSORS; CONSTANT RATE; CORRELATION ANALYSIS; EXPERIMENTAL ARRANGEMENT; EXPERIMENTAL TECHNIQUES; LIQUID IMMERSION; NODE LOCATION; RESONANT FREQUENCIES; RESONANT FREQUENCY CHANGE; RESONANT MODE; THREE-DIMENSIONAL (3D) FINITE ELEMENT MODELS; TRANSVERSE MODE;

FINITE ELEMENT METHOD; FREQUENCY RESPONSE; LIQUIDS; NATURAL FREQUENCIES; PHASE INTERFACES; THREE DIMENSIONAL;

NANOCANTILEVERS;

EID: 79957960271     PISSN: 09601317     EISSN: 13616439     Source Type: Journal    
DOI: 10.1088/0960-1317/21/6/065027     Document Type: Article

References (36)

1. Maraldo D, Rijal K, Campbell G A and Mutharasan R 2007 Method for label-free detection of femtogram quantities of biologics in flowing liquid samples Anal. Chem. 79 2762-70 (Pubitemid 46595629)
2. Rijal K and Mutharasan R 2007 Method for measuring the self-assembly of alkanethiols on gold at femtomolar concentrations Langmuir 23 6856-63 (Pubitemid 46943519)
3. Campbell G A and Mutharasan R 2007 A method of measuring Escherichia coli O157:H7 at 1 cell/mL in 1 liter sample using antibody functionalized piezoelectric-excited millimeter-sized cantilever sensor Environ. Sci. Technol. 41 1668-74 (Pubitemid 46362469)
4. Rijal K and Mutharasan R 2007 PEMC-based method of measuring DNA hybridization at femtomolar concentrations directly in human serum and in the presence of copious noncomplementary strands Anal. Chem. 79 7392-400 (Pubitemid 47606106)
5. Maraldo D, Garcia F and Mutharasan R 2007 Method for quantification of a prostate cancer biomarker in urine without sample preparation Anal. Chem. 79 7683-90 (Pubitemid 47622396)
6. Maraldo D and Mutharasan R 2007 Detection and confirmation of Staphylococcal enterotoxin B in apple juice and milk using piezoelectric-excited millimeter-sized cantilever sensors at 2.5 fg/mL Anal. Chem. 79 7636-43 (Pubitemid 47622390)
7. Maraldo D and Mutharasan R 2007 10-minute assay for detecting Escherichia coli O157:H7 in ground beef samples using piezoelectric-excited millimeter-size cantilever sensors J. Food Protection 70 1670-7 (Pubitemid 47076106)
8. Ziegler C 2004 Cantilever-based biosensors Anal. Bioanal. Chem. 379 946-59 (Pubitemid 40877526)
9. Goeders K M, Colton J S and Bottomley L A 2008 Microcantilevers: sensing chemical interactions via mechanical motion Chem. Rev. 108 522-42 (Pubitemid 351344448)
10. Yang J 2005 An Introduction to the Theory of Piezoelectricity (New York: Springer)
11. Yu H and Li X 2009 Bianalyte mass detection with a single resonant microcantilever Appl. Phys. Lett. 94 011901
12. Voigt F, Krohs F and Gerbach R 2009 Flexural-torsional resonance mode of a chip cantilever system: applications to nanomachining J. Vac. Sci. Technol. 27 958-63
13. Huang Y H and Ma C C 2009 Forced vibration analysis of piezoelectric quartz plates in resonance Sensors Actuators A 149 320-30
14. Tung R C, Wutscher T, Martinez-Martin D, Reifenberger R G, Giessibl F and Raman A 2010 Higher-order eigenmodes of qPlus sensors for high resolution dynamic atomic force microscopy J. Appl. Phys. 107 104508
15. Bernini R, Minardo A, Testa G and Zeni L 2010 Dynamic strain measurements on a cantilever beam using stimulated Brillouin scattering Smart Mater. Struct. 19 045024
16. Reed J, Schmit J, Han S, Wilkinson P and Gimzewski J K 2009 Interferometric profiling of microcantilevers in liquid Opt. Lasers Eng. 47 217-22
17. Sharma H, Lakshmanan R, Johnson B N and Mutharasan R 2010 Piezoelectric cantilever sensors with asymmetric anchor exhibit picogram sensitivity in liquids Sensors Actuators B 153 64-70
18. Maraldo D and Mutharasan R 2010 Mass-change sensitivity of high-order mode of piezoelectric-excited millimeter-sized cantilever (PEMC) sensors: theory and experiments Sensors Actuators B 143 731-9
19. Naik T, Longmire E K and Mantell S C 2003 Dynamic response of a cantilever in liquid near a solid wall Sensors Actuator A 102 240-54
20. Van Eysden C A and Sader J E 2007 Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: arbitrary mode order J. Appl. Phys. 101 044908
21. Ergin A and Ugurlu B 2003 Linear vibration analysis of cantilever plates partially submerged in fluid J. Fluids Struct. 17 927-39 (Pubitemid 37008086)
22. Wu Z M, Ma X H, Brett P N and Xu J W 2009 Vibration analysis of submerged rectangular microplates with distributed mass loading Proc. R. Soc. A 465 1323-36
23. Fu Y and Price W G 1987 Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid J. Sound Vib. 118 495-513 (Pubitemid 18535572)
24. Yadykin Y, Tenetov V and Levin D 2003 The added mass of a flexible plate oscillating in a fluid J. Fluids Struct. 17 115-23 (Pubitemid 36352643)
25. Weaver W, Timoshenko S P and Young D H 1990 Vibration Problems in Engineering (New York: Wiley)
26. Van Eysden C A and Sader J E 2006 Resonant frequencies of a rectangular cantilever beam immersed in a fluid J. Appl. Phys. 100 114916
27. COMSOL COMSOL Multiphysics: FEM Software (Burlington, MA: COMSOL Group)
28. Ghatkesar M K, Braun T, Barwich V, Ramseyer J P, Gerber C, Hegner M and Lang H P 2008 Resonating modes of vibrating microcantilevers in liquid Appl. Phys. Lett. 92 043106
29. Johnson B N and Mutharasan R 2011 The origin of low-order and high-order impedance-coupled resonant modes in piezoelectric-excited millimeter-sized cantilever (PEMC) sensors: experiment and finite element models Sensors Actuators B doi:10.1016/j.snb.2011.1001.1063
30. Sanz P, Hernando J, Vazquez J and Sanchez-Rojas J L 2007 Laser vibrometry and impedance characterization of piezoelectric microcantilevers J. Micromech. Microeng. 17 931-7 (Pubitemid 46656145)
31. Lee J H, Lee S T, Yao C M and Fang W L 2007 Comments on the size effect on the microcantilever quality factor in free air space J. Micromech. Microeng. 17 139-46
32. Kirstein S, Mertesdorf M and Schonhoff M 1998 The influence of a viscous fluid on the vibration dynamics of scanning near-field optical microscopy fiber probes and atomic force microscopy cantilevers J. Appl. Phys. 84 1782-90 (Pubitemid 128586110)
33. Paul M R and Cross M C 2004 Stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid Phys. Rev. Lett. 92 235501
34. Vazquez J, Rivera M A, Hernando J and Sanchez-Rojas J L 2009 Dynamic response of low aspect ratio piezoelectric microcantilevers actuated in different liquid environments J. Micromech. Microeng. 19 015020
35. Flick E W 1998 Industrial Solvents Handbook (Park Ridge, NJ: William Andrew Publishing/Noyes)
36. Yaws C L 2003 Yaws' Handbook of Thermodynamic and Physical Properties of Chemical Compounds (Norwich, NJ: Knovel)