Dynamics of Microbeams under Multi-Frequency Excitations

Handle URI:
http://hdl.handle.net/10754/622939
Title:
Dynamics of Microbeams under Multi-Frequency Excitations
Authors:
Ibrahim, Alwathiqbellah; Jaber, Nizar; Chandran, Akhil; Thirupathi, Maloth; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
This paper presents an investigation of the dynamics of microbeams under multiple harmonic electrostatic excitation frequencies. First, the response of a cantilever microbeam to two alternating current (AC) source excitation is examined. We show by simulations the response of the microbeam at primary resonance (near the fundamental natural frequency) and at secondary resonances (near half, superharmonic, and twice, subharmonic, the fundamental natural frequency). A multimode Galerkin method combined with the Euler-Bernoulli beam equation, accounting for the nonlinear electrostatic force, has been used to develop a reduced order model. The response of the cantilever microbeam to three AC source excitation is also investigated and shown as a promising technique to enhance the bandwidth of resonators. Finally, an experimental study of a clamped-clamped microbeam is conducted, demonstrating the multi-frequency excitation resonances using two, three, and four AC sources.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Ibrahim A, Jaber N, Chandran A, Thirupathi M, Younis M (2017) Dynamics of Microbeams under Multi-Frequency Excitations. Micromachines 8: 32. Available: http://dx.doi.org/10.3390/mi8020032.
Publisher:
MDPI AG
Journal:
Micromachines
Issue Date:
24-Jan-2017
DOI:
10.3390/mi8020032
Type:
Article
ISSN:
2072-666X
Sponsors:
This research has been funded through King Abdullah University of Science and Technology (KAUST).
Additional Links:
http://www.mdpi.com/2072-666X/8/2/32
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorIbrahim, Alwathiqbellahen
dc.contributor.authorJaber, Nizaren
dc.contributor.authorChandran, Akhilen
dc.contributor.authorThirupathi, Malothen
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2017-02-28T12:11:05Z-
dc.date.available2017-02-28T12:11:05Z-
dc.date.issued2017-01-24en
dc.identifier.citationIbrahim A, Jaber N, Chandran A, Thirupathi M, Younis M (2017) Dynamics of Microbeams under Multi-Frequency Excitations. Micromachines 8: 32. Available: http://dx.doi.org/10.3390/mi8020032.en
dc.identifier.issn2072-666Xen
dc.identifier.doi10.3390/mi8020032en
dc.identifier.urihttp://hdl.handle.net/10754/622939-
dc.description.abstractThis paper presents an investigation of the dynamics of microbeams under multiple harmonic electrostatic excitation frequencies. First, the response of a cantilever microbeam to two alternating current (AC) source excitation is examined. We show by simulations the response of the microbeam at primary resonance (near the fundamental natural frequency) and at secondary resonances (near half, superharmonic, and twice, subharmonic, the fundamental natural frequency). A multimode Galerkin method combined with the Euler-Bernoulli beam equation, accounting for the nonlinear electrostatic force, has been used to develop a reduced order model. The response of the cantilever microbeam to three AC source excitation is also investigated and shown as a promising technique to enhance the bandwidth of resonators. Finally, an experimental study of a clamped-clamped microbeam is conducted, demonstrating the multi-frequency excitation resonances using two, three, and four AC sources.en
dc.description.sponsorshipThis research has been funded through King Abdullah University of Science and Technology (KAUST).en
dc.publisherMDPI AGen
dc.relation.urlhttp://www.mdpi.com/2072-666X/8/2/32en
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0/en
dc.subjectmulti-frequencyen
dc.subjectsecondary resonancesen
dc.subjectsuperharmonicen
dc.subjectelectrostaticen
dc.titleDynamics of Microbeams under Multi-Frequency Excitationsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalMicromachinesen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionMechanical Engineering Department, The State University of New York at Binghamton, 4400 Vestal Parkway E., Binghamton, NY 13902, USAen
dc.contributor.institutionDepartment of Aeronautical Engineering, Annasaheb Dange College of Engineering and Technology, Sangli, Maharashtra 416301, Indiaen
kaust.authorJaber, Nizaren
kaust.authorThirupathi, Malothen
kaust.authorYounis, Mohammad I.en
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