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dc.contributor.authorHajjaj, Amal
dc.contributor.authorAlfosail, Feras
dc.contributor.authorJaber, Nizar
dc.contributor.authorIlyas, Saad
dc.contributor.authorYounis, Mohammad I.
dc.date.accessioned2019-10-07T10:30:58Z
dc.date.available2019-10-07T10:30:58Z
dc.date.issued2019-09-27
dc.identifier.citationHajjaj, A. Z., Alfosail, F. K., Jaber, N., Ilyas, S., & Younis, M. I. (2019). Theoretical and experimental investigations of the crossover phenomenon in micromachined arch resonator: part II—simultaneous 1:1 and 2:1 internal resonances. Nonlinear Dynamics. doi:10.1007/s11071-019-05242-9
dc.identifier.doi10.1007/s11071-019-05242-9
dc.identifier.urihttp://hdl.handle.net/10754/656931
dc.description.abstractWe investigate in a silicon micromachined arch beam the activation of a one-to-one internal resonance between the first symmetric and first antisymmetric modes simultaneously with the activation of a two-to-one internal resonance between these modes and the second symmetric mode. The arch is excited electrically, using an antisymmetric partial electrode to activate both modes of vibrations, and tuned electrothermally via Joule’s heating. Theoretically, we explore the dynamics of the beam using the Galerkin and multiple timescales methods. The simulation results are shown to have good agreement with the experimental data. The results show the merging of both modes at crossing, after which the first antisymmetric mode exchanges the nonlinear behavior with the first symmetric mode. The nonlinear behavior of the arch beam is demonstrated and analyzed experimentally and theoretically as experiencing the simultaneous 2:1 and 1:1 internal resonances.
dc.description.sponsorshipWe acknowledge the financial support from King Abdullah University of Science and Technology (KAUST).
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s11071-019-05242-9
dc.rightsArchived with thanks to Nonlinear Dynamics
dc.subjectCrossover phenomenon
dc.subjectMicromachined arch resonator
dc.subjectSimultaneous internal resonance
dc.subject2:1 Internal resonance
dc.subject1:1 Internal resonance
dc.titleTheoretical and experimental investigations of the crossover phenomenon in micromachined arch resonator: part II—simultaneous 1:1 and 2:1 internal resonances
dc.typeArticle
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalNonlinear Dynamics
dc.rights.embargodate2020-09-27
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mechanical Engineering , Purdue University , West Lafayette, USA
kaust.personHajjaj, Amal Z.
kaust.personAlfosail, Feras
kaust.personJaber, Nizar
kaust.personIlyas, Saad
kaust.personYounis, Mohammad I.
refterms.dateFOA2020-09-27T00:00:00Z
dc.date.published-online2019-09-27
dc.date.published-print2020-01


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