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    On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance

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    VIB-16-1563.pdf
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    Description:
    Accepted Manuscript
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    Type
    Article
    Authors
    Jaber, Nizar cc
    Masri, Karim M.
    Younis, Mohammad I. cc
    KAUST Department
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2017-04-07
    Online Publication Date
    2017-04-07
    Print Publication Date
    2017-05-30
    Permanent link to this record
    http://hdl.handle.net/10754/623250
    
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    Abstract
    This work aims to investigate theoretically and experimentally various nonlinear dynamic behaviors of a doubly clamped microbeam near its primary resonance. Mainly, we investigate the transition behavior from hardening, mixed, and then softening behavior. We show in a single frequency-response curve, under a constant voltage load, the transition from hardening to softening behavior demonstrating the dominance of the quadratic electrostatic nonlinearity over the cubic geometric nonlinearity of the beam as the motion amplitudes becomes large, which may lead eventually to dynamic pull-in. The microbeam is fabricated using polyimide as a structural layer coated with nickel from top and chromium and gold layers from the bottom. Frequency sweep tests are conducted for different values of DC bias revealing hardening, mixed, and softening behavior of the microbeam. A multi-mode Galerkin model combined with a shooting technique are implemented to generate the frequency response curves and to analyze the stability of the periodic motions using the Floquet theory. The simulated curves show good agreement with the experimental data.
    Citation
    Jaber NR, Masri KM, Younis MI (2017) On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance. Journal of Vibration and Acoustics. Available: http://dx.doi.org/10.1115/1.4036399.
    Publisher
    ASME International
    Journal
    Journal of Vibration and Acoustics
    DOI
    10.1115/1.4036399
    Additional Links
    http://vibrationacoustics.asmedigitalcollection.asme.org/article.aspx?articleid=2618327
    ae974a485f413a2113503eed53cd6c53
    10.1115/1.4036399
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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