Frequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Masses

Handle URI:
http://hdl.handle.net/10754/621548
Title:
Frequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Masses
Authors:
Bouchaala, Adam M.; Nayfeh, Ali H.; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
We present analytical and numerical techniques to accurately calculate the shifts in the natural frequencies of electrically actuated micro and nano (carbon nanotubes (CNTs)) cantilever beams implemented as resonant sensors for mass detection of biological entities, particularly Escherichia coli (E. coli) and prostate specific antigen (PSA) cells. The beams are modeled as Euler-Bernoulli beams, including the nonlinear electrostatic forces and the added biological cells, which are modeled as discrete point masses. The frequency shifts due to the added masses of the cells are calculated for the fundamental and higher-order modes of vibrations. Analytical expressions of the natural frequency shifts under a direct current (DC) voltage and an added mass have been developed using perturbation techniques and the Galerkin approximation. Numerical techniques are also used to calculate the frequency shifts and compared with the analytical technique. We found that a hybrid approach that relies on the analytical perturbation expression and the Galerkin procedure for calculating accurately the static behavior presents the most computationally efficient approach. We found that using higher-order modes of vibration of micro-electro-mechanical-system (MEMS) beams or miniaturizing the sizes of the beams to nanoscale leads to significant improved frequency shifts, and thus increased sensitivities. © 2016 by ASME.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Bouchaala A, Nayfeh AH, Younis MI (2016) Frequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Masses. Journal of Dynamic Systems, Measurement, and Control 138: 091002. Available: http://dx.doi.org/10.1115/1.4033075.
Publisher:
ASME International
Journal:
Journal of Dynamic Systems, Measurement, and Control
Issue Date:
21-Mar-2016
DOI:
10.1115/1.4033075
Type:
Article
ISSN:
0022-0434
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBouchaala, Adam M.en
dc.contributor.authorNayfeh, Ali H.en
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2016-11-03T08:31:53Z-
dc.date.available2016-11-03T08:31:53Z-
dc.date.issued2016-03-21en
dc.identifier.citationBouchaala A, Nayfeh AH, Younis MI (2016) Frequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Masses. Journal of Dynamic Systems, Measurement, and Control 138: 091002. Available: http://dx.doi.org/10.1115/1.4033075.en
dc.identifier.issn0022-0434en
dc.identifier.doi10.1115/1.4033075en
dc.identifier.urihttp://hdl.handle.net/10754/621548-
dc.description.abstractWe present analytical and numerical techniques to accurately calculate the shifts in the natural frequencies of electrically actuated micro and nano (carbon nanotubes (CNTs)) cantilever beams implemented as resonant sensors for mass detection of biological entities, particularly Escherichia coli (E. coli) and prostate specific antigen (PSA) cells. The beams are modeled as Euler-Bernoulli beams, including the nonlinear electrostatic forces and the added biological cells, which are modeled as discrete point masses. The frequency shifts due to the added masses of the cells are calculated for the fundamental and higher-order modes of vibrations. Analytical expressions of the natural frequency shifts under a direct current (DC) voltage and an added mass have been developed using perturbation techniques and the Galerkin approximation. Numerical techniques are also used to calculate the frequency shifts and compared with the analytical technique. We found that a hybrid approach that relies on the analytical perturbation expression and the Galerkin procedure for calculating accurately the static behavior presents the most computationally efficient approach. We found that using higher-order modes of vibration of micro-electro-mechanical-system (MEMS) beams or miniaturizing the sizes of the beams to nanoscale leads to significant improved frequency shifts, and thus increased sensitivities. © 2016 by ASME.en
dc.publisherASME Internationalen
dc.titleFrequency Shifts of Micro and Nano Cantilever Beam Resonators Due to Added Massesen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Dynamic Systems, Measurement, and Controlen
dc.contributor.institutionDepartment of Engineering Science and Mechanics, Virginia Polytechnic Institute, State University, Blacksburg, VA, United Statesen
dc.contributor.institutionDepartment of Mechanical Engineering, University of Jordan, Amman, Jordanen
kaust.authorBouchaala, Adam M.en
kaust.authorYounis, Mohammad I.en
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