Multi-mode excitation of a clamped–clamped microbeam resonator

Handle URI:
http://hdl.handle.net/10754/566136
Title:
Multi-mode excitation of a clamped–clamped microbeam resonator
Authors:
Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
We present modeling and simulation of the nonlinear dynamics of a microresonator subjected to two-source electrostatic excitation. The resonator is composed of a clamped–clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is tuned close to the first natural frequency of the beam and the other is close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare’ sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasiperiodic motion, torus bifurcations, and modulated chaotic attractors.
KAUST Department:
Mechanical Engineering Program
Publisher:
Springer Science + Business Media
Journal:
Nonlinear Dynamics
Issue Date:
18-Feb-2015
DOI:
10.1007/s11071-015-1960-1
Type:
Article
ISSN:
0924090X
Sponsors:
This research has been supported by KAUST.
Appears in Collections:
Articles; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2015-08-12T09:29:41Zen
dc.date.available2015-08-12T09:29:41Zen
dc.date.issued2015-02-18en
dc.identifier.issn0924090Xen
dc.identifier.doi10.1007/s11071-015-1960-1en
dc.identifier.urihttp://hdl.handle.net/10754/566136en
dc.description.abstractWe present modeling and simulation of the nonlinear dynamics of a microresonator subjected to two-source electrostatic excitation. The resonator is composed of a clamped–clamped beam excited by a DC voltage load superimposed to two AC voltage loads of different frequencies. One frequency is tuned close to the first natural frequency of the beam and the other is close to the third (second symmetric) natural frequency. A multi-mode Galerkin procedure is applied to extract a reduced-order model, which forms the basis of the numerical simulations. Time history response, Poincare’ sections, Fast Fourier Transforms FFT, and bifurcation diagrams are used to reveal the dynamics of the system. The results indicate complex nonlinear phenomena, which include quasiperiodic motion, torus bifurcations, and modulated chaotic attractors.en
dc.description.sponsorshipThis research has been supported by KAUST.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectChaosen
dc.subjectMEMSen
dc.subjectMulti-frequency excitationen
dc.subjectNonlinear dynamicsen
dc.titleMulti-mode excitation of a clamped–clamped microbeam resonatoren
dc.typeArticleen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalNonlinear Dynamicsen
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York at BinghamtonBinghamton, NY, United Statesen
kaust.authorYounis, Mohammad I.en
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