On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance

Handle URI:
http://hdl.handle.net/10754/623250
Title:
On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance
Authors:
Jaber, Nizar R.; Masri, Karim M.; Younis, Mohammed Ibrahim
Abstract:
This work aims to investigate theoretically and experimentally various nonlinear dynamic behaviors of a doubly clamped microbeam near its primary resonance. Mainly, we investigate the transition behavior from hardening, mixed, and then softening behavior. We show in a single frequency-response curve, under a constant voltage load, the transition from hardening to softening behavior demonstrating the dominance of the quadratic electrostatic nonlinearity over the cubic geometric nonlinearity of the beam as the motion amplitudes becomes large, which may lead eventually to dynamic pull-in. The microbeam is fabricated using polyimide as a structural layer coated with nickel from top and chromium and gold layers from the bottom. Frequency sweep tests are conducted for different values of DC bias revealing hardening, mixed, and softening behavior of the microbeam. A multi-mode Galerkin model combined with a shooting technique are implemented to generate the frequency response curves and to analyze the stability of the periodic motions using the Floquet theory. The simulated curves show good agreement with the experimental data.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Jaber NR, Masri KM, Younis MI (2017) On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance. Journal of Vibration and Acoustics. Available: http://dx.doi.org/10.1115/1.4036399.
Publisher:
ASME International
Journal:
Journal of Vibration and Acoustics
Issue Date:
7-Apr-2017
DOI:
10.1115/1.4036399
Type:
Article
ISSN:
1048-9002
Additional Links:
http://vibrationacoustics.asmedigitalcollection.asme.org/article.aspx?articleid=2618327
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorJaber, Nizar R.en
dc.contributor.authorMasri, Karim M.en
dc.contributor.authorYounis, Mohammed Ibrahimen
dc.date.accessioned2017-04-17T11:33:46Z-
dc.date.available2017-04-17T11:33:46Z-
dc.date.issued2017-04-07en
dc.identifier.citationJaber NR, Masri KM, Younis MI (2017) On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance. Journal of Vibration and Acoustics. Available: http://dx.doi.org/10.1115/1.4036399.en
dc.identifier.issn1048-9002en
dc.identifier.doi10.1115/1.4036399en
dc.identifier.urihttp://hdl.handle.net/10754/623250-
dc.description.abstractThis work aims to investigate theoretically and experimentally various nonlinear dynamic behaviors of a doubly clamped microbeam near its primary resonance. Mainly, we investigate the transition behavior from hardening, mixed, and then softening behavior. We show in a single frequency-response curve, under a constant voltage load, the transition from hardening to softening behavior demonstrating the dominance of the quadratic electrostatic nonlinearity over the cubic geometric nonlinearity of the beam as the motion amplitudes becomes large, which may lead eventually to dynamic pull-in. The microbeam is fabricated using polyimide as a structural layer coated with nickel from top and chromium and gold layers from the bottom. Frequency sweep tests are conducted for different values of DC bias revealing hardening, mixed, and softening behavior of the microbeam. A multi-mode Galerkin model combined with a shooting technique are implemented to generate the frequency response curves and to analyze the stability of the periodic motions using the Floquet theory. The simulated curves show good agreement with the experimental data.en
dc.publisherASME Internationalen
dc.relation.urlhttp://vibrationacoustics.asmedigitalcollection.asme.org/article.aspx?articleid=2618327en
dc.rightsArchived with thanks to Journal of Vibration and Acousticsen
dc.subjectResonanceen
dc.subjectMicrobeamsen
dc.subjectNonlinear dynamicsen
dc.subjectHardeningen
dc.subjectFrequency responseen
dc.subjectStabilityen
dc.subjectNickelen
dc.subjectStressen
dc.titleOn the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonanceen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Vibration and Acousticsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York, Binghamton, NY, 13850, USAen
kaust.authorJaber, Nizar R.en
kaust.authorYounis, Mohammed Ibrahimen
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