One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches

Handle URI:
http://hdl.handle.net/10754/623768
Title:
One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches
Authors:
Ouakad, Hassen M.; Sedighi, Hamid M.; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
The nonlinear modal coupling between the vibration modes of an arch shaped microstructure is an interesting phenomenon, which may have desirable features for numerous applications, such as vibration-based energy harvesters. This works presents an investigation into the potential nonlinear internal resonances of a Micro electro mechanical systems MEMS arch when excited by static (DC) and dynamic (AC) electric forces. The influences of initial rise and mid-plane stretching are considered in the governing equation. The cases of one-to-one and three-to-one internal resonances between the first and second modes and between the first and third modes are studied using the method of multiple scales and the direct attack of the partial differential equation of motion. It is interestingly shown that for distinct domain of actuation voltages, there exist three-to-one internal resonance between the first and third symmetric modes and one-to-one internal resonance case between the first symmetric and the second antisymmetric mode. These results can shed light on such interactions that are commonly found on micro and nano structures, such as carbon nano tubes.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Ouakad HM, Sedighi HM, Younis MI (2017) One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches. Journal of Computational and Nonlinear Dynamics. Available: http://dx.doi.org/10.1115/1.4036815.
Publisher:
ASME International
Journal:
Journal of Computational and Nonlinear Dynamics
Issue Date:
22-May-2017
DOI:
10.1115/1.4036815
Type:
Article
ISSN:
1555-1415
Sponsors:
This research was supported by the National Science Foundation NSF CAREER grant # 0846775.
Additional Links:
http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2629241
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorOuakad, Hassen M.en
dc.contributor.authorSedighi, Hamid M.en
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2017-05-31T10:09:30Z-
dc.date.available2017-05-31T10:09:30Z-
dc.date.issued2017-05-22en
dc.identifier.citationOuakad HM, Sedighi HM, Younis MI (2017) One-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches. Journal of Computational and Nonlinear Dynamics. Available: http://dx.doi.org/10.1115/1.4036815.en
dc.identifier.issn1555-1415en
dc.identifier.doi10.1115/1.4036815en
dc.identifier.urihttp://hdl.handle.net/10754/623768-
dc.description.abstractThe nonlinear modal coupling between the vibration modes of an arch shaped microstructure is an interesting phenomenon, which may have desirable features for numerous applications, such as vibration-based energy harvesters. This works presents an investigation into the potential nonlinear internal resonances of a Micro electro mechanical systems MEMS arch when excited by static (DC) and dynamic (AC) electric forces. The influences of initial rise and mid-plane stretching are considered in the governing equation. The cases of one-to-one and three-to-one internal resonances between the first and second modes and between the first and third modes are studied using the method of multiple scales and the direct attack of the partial differential equation of motion. It is interestingly shown that for distinct domain of actuation voltages, there exist three-to-one internal resonance between the first and third symmetric modes and one-to-one internal resonance case between the first symmetric and the second antisymmetric mode. These results can shed light on such interactions that are commonly found on micro and nano structures, such as carbon nano tubes.en
dc.description.sponsorshipThis research was supported by the National Science Foundation NSF CAREER grant # 0846775.en
dc.publisherASME Internationalen
dc.relation.urlhttp://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2629241en
dc.rightsArchived with thanks to Journal of Computational and Nonlinear Dynamicsen
dc.subjectResonanceen
dc.subjectArchesen
dc.subjectMicroelectromechanical systemsen
dc.subjectVibrationen
dc.subjectEnergy harvestingen
dc.subjectNanotubesen
dc.subjectPartial differential equationsen
dc.subjectCarbonen
dc.subjectNanostructuresen
dc.titleOne-to-One and Three-to-One Internal Resonances in MEMS Shallow Archesen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Computational and Nonlinear Dynamicsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran, 31261, KSAen
dc.contributor.institutionMechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, IRIen
dc.contributor.institutionMechanical Engineering Department, State University of New-York, Binghamton, 13850, NY, USAen
kaust.authorYounis, Mohammad I.en
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