Nonlinear dynamics of an electrically actuated imperfect microbeam resonator: Experimental investigation and reduced-order modeling

Handle URI:
http://hdl.handle.net/10754/562809
Title:
Nonlinear dynamics of an electrically actuated imperfect microbeam resonator: Experimental investigation and reduced-order modeling
Authors:
Ruzziconi, Laura; Bataineh, Ahmad M.; Younis, Mohammad I. ( 0000-0002-9491-1838 ) ; Cui, Weili; Lenci, Stefano
Abstract:
We present a study of the dynamic behavior of a microelectromechanical systems (MEMS) device consisting of an imperfect clamped-clamped microbeam subjected to electrostatic and electrodynamic actuation. Our objective is to develop a theoretical analysis, which is able to describe and predict all the main relevant aspects of the experimental response. Extensive experimental investigation is conducted, where the main imperfections coming from microfabrication are detected, the first four experimental natural frequencies are identified and the nonlinear dynamics are explored at increasing values of electrodynamic excitation, in a neighborhood of the first symmetric resonance. Several backward and forward frequency sweeps are acquired. The nonlinear behavior is highlighted, which includes ranges of multistability, where the nonresonant and the resonant branch coexist, and intervals where superharmonic resonances are clearly visible. Numerical simulations are performed. Initially, two single mode reduced-order models are considered. One is generated via the Galerkin technique, and the other one via the combined use of the Ritz method and the Padé approximation. Both of them are able to provide a satisfactory agreement with the experimental data. This occurs not only at low values of electrodynamic excitation, but also at higher ones. Their computational efficiency is discussed in detail, since this is an essential aspect for systematic local and global simulations. Finally, the theoretical analysis is further improved and a two-degree-of-freedom reduced-order model is developed, which is also capable of capturing the measured second symmetric superharmonic resonance. Despite the apparent simplicity, it is shown that all the proposed reduced-order models are able to describe the experimental complex nonlinear dynamics of the device accurately and properly, which validates the proposed theoretical approach. © 2013 IOP Publishing Ltd.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
IOP Publishing
Journal:
Journal of Micromechanics and Microengineering
Issue Date:
10-Jun-2013
DOI:
10.1088/0960-1317/23/7/075012
Type:
Article
ISSN:
09601317
Sponsors:
This research has been partially supported by the Italian Ministry of Education, Universities and Research (MIUR) by the PRIN funded program 2010/11, grant no 2010MBJK5B 'Dynamics, stability and control of flexible structures', and partially supported by the National Science Foundation through grant no 0846775.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorRuzziconi, Lauraen
dc.contributor.authorBataineh, Ahmad M.en
dc.contributor.authorYounis, Mohammad I.en
dc.contributor.authorCui, Weilien
dc.contributor.authorLenci, Stefanoen
dc.date.accessioned2015-08-03T11:11:05Zen
dc.date.available2015-08-03T11:11:05Zen
dc.date.issued2013-06-10en
dc.identifier.issn09601317en
dc.identifier.doi10.1088/0960-1317/23/7/075012en
dc.identifier.urihttp://hdl.handle.net/10754/562809en
dc.description.abstractWe present a study of the dynamic behavior of a microelectromechanical systems (MEMS) device consisting of an imperfect clamped-clamped microbeam subjected to electrostatic and electrodynamic actuation. Our objective is to develop a theoretical analysis, which is able to describe and predict all the main relevant aspects of the experimental response. Extensive experimental investigation is conducted, where the main imperfections coming from microfabrication are detected, the first four experimental natural frequencies are identified and the nonlinear dynamics are explored at increasing values of electrodynamic excitation, in a neighborhood of the first symmetric resonance. Several backward and forward frequency sweeps are acquired. The nonlinear behavior is highlighted, which includes ranges of multistability, where the nonresonant and the resonant branch coexist, and intervals where superharmonic resonances are clearly visible. Numerical simulations are performed. Initially, two single mode reduced-order models are considered. One is generated via the Galerkin technique, and the other one via the combined use of the Ritz method and the Padé approximation. Both of them are able to provide a satisfactory agreement with the experimental data. This occurs not only at low values of electrodynamic excitation, but also at higher ones. Their computational efficiency is discussed in detail, since this is an essential aspect for systematic local and global simulations. Finally, the theoretical analysis is further improved and a two-degree-of-freedom reduced-order model is developed, which is also capable of capturing the measured second symmetric superharmonic resonance. Despite the apparent simplicity, it is shown that all the proposed reduced-order models are able to describe the experimental complex nonlinear dynamics of the device accurately and properly, which validates the proposed theoretical approach. © 2013 IOP Publishing Ltd.en
dc.description.sponsorshipThis research has been partially supported by the Italian Ministry of Education, Universities and Research (MIUR) by the PRIN funded program 2010/11, grant no 2010MBJK5B 'Dynamics, stability and control of flexible structures', and partially supported by the National Science Foundation through grant no 0846775.en
dc.publisherIOP Publishingen
dc.titleNonlinear dynamics of an electrically actuated imperfect microbeam resonator: Experimental investigation and reduced-order modelingen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalJournal of Micromechanics and Microengineeringen
dc.contributor.institutionDepartment of Civil and Building Engineering and Architecture, Polytechnic University of Marche, via Brecce Bianche, Ancona, 60131, Italyen
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York at Binghamton, Binghamton, NY 13902, United Statesen
kaust.authorYounis, Mohammad I.en
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