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dc.contributor.authorOuakad, Hassen M.
dc.contributor.authorSedighi, Hamid M.
dc.contributor.authorYounis, Mohammad I.
dc.date.accessioned2017-05-31T10:09:30Z
dc.date.available2017-05-31T10:09:30Z
dc.date.issued2017-05-22
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.
dc.identifier.issn1555-1415
dc.identifier.doi10.1115/1.4036815
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.
dc.description.sponsorshipThis research was supported by the National Science Foundation NSF CAREER grant # 0846775.
dc.publisherASME International
dc.relation.urlhttp://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2629241
dc.rightsArchived with thanks to Journal of Computational and Nonlinear Dynamics
dc.subjectResonance
dc.subjectArches
dc.subjectMicroelectromechanical systems
dc.subjectVibration
dc.subjectEnergy harvesting
dc.subjectNanotubes
dc.subjectPartial differential equations
dc.subjectCarbon
dc.subjectNanostructures
dc.titleOne-to-One and Three-to-One Internal Resonances in MEMS Shallow Arches
dc.typeArticle
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational and Nonlinear Dynamics
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mechanical Engineering, King Fahd University of Petroleum and Minerals, Dhahran, 31261, KSA
dc.contributor.institutionMechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, IRI
dc.contributor.institutionMechanical Engineering Department, State University of New-York, Binghamton, 13850, NY, USA
kaust.personYounis, Mohammad I.
refterms.dateFOA2018-05-24T00:00:00Z
dc.date.published-online2017-05-22
dc.date.published-print2017-07-12


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