The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection

Handle URI:
http://hdl.handle.net/10754/623239
Title:
The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection
Authors:
Bouchaala, Adam M.; Nayfeh, Ali H.; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
We present analytical formulations to calculate the induced resonance frequency shifts of electrically actuated clamped-clamped microbeams due to an added mass. Based on the Euler-Bernoulli beam theory, we investigate the linear dynamic responses of the beams added masses, which are modeled as discrete point masses. Analytical expressions based on perturbation techniques and a one-mode Galerkin approximation are developed to calculate accurately the frequency shifts under a DC voltage as a function of the added mass and position. The analytical results are compared to numerical solution of the eigenvalue problem. Results are shown for the fundamental as well as the higher-order modes of the beams. The results indicate a significant increase in the frequency shift, and hence the sensitivity of detection, when scaling down to nano scale and using higher-order modes.
KAUST Department:
King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
Citation:
Bouchaala A, Nayfeh AH, Younis MI (2016) The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection. Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Available: http://dx.doi.org/10.1115/detc2016-59667.
Publisher:
ASME International
Journal:
Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Issue Date:
5-Dec-2016
DOI:
10.1115/detc2016-59667
Type:
Conference Paper
Additional Links:
http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2592055
Appears in Collections:
Conference Papers

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.accessioned2017-04-15T11:15:46Z-
dc.date.available2017-04-15T11:15:46Z-
dc.date.issued2016-12-05en
dc.identifier.citationBouchaala A, Nayfeh AH, Younis MI (2016) The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection. Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Available: http://dx.doi.org/10.1115/detc2016-59667.en
dc.identifier.doi10.1115/detc2016-59667en
dc.identifier.urihttp://hdl.handle.net/10754/623239-
dc.description.abstractWe present analytical formulations to calculate the induced resonance frequency shifts of electrically actuated clamped-clamped microbeams due to an added mass. Based on the Euler-Bernoulli beam theory, we investigate the linear dynamic responses of the beams added masses, which are modeled as discrete point masses. Analytical expressions based on perturbation techniques and a one-mode Galerkin approximation are developed to calculate accurately the frequency shifts under a DC voltage as a function of the added mass and position. The analytical results are compared to numerical solution of the eigenvalue problem. Results are shown for the fundamental as well as the higher-order modes of the beams. The results indicate a significant increase in the frequency shift, and hence the sensitivity of detection, when scaling down to nano scale and using higher-order modes.en
dc.publisherASME Internationalen
dc.relation.urlhttp://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2592055en
dc.titleThe Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detectionen
dc.typeConference Paperen
dc.contributor.departmentKing Abdullah University of Science and Technology, Thuwal, Saudi Arabiaen
dc.identifier.journalVolume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Controlen
dc.contributor.institutionVirginia Polytechnic Institute and State University, Blacksburg, VAen
kaust.authorBouchaala, Adam M.en
kaust.authorYounis, Mohammad I.en
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