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    Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory

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    Type
    Article
    Authors
    Ruzziconi, Laura
    Jaber, Nizar
    Kosuru, Lakshmoji
    Bellaredj, Mohammed Lamine Faycal cc
    Younis, Mohammad I. cc
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Mechanical Engineering Program
    Date
    2021-01-17
    Online Publication Date
    2021-01-17
    Print Publication Date
    2021-03
    Embargo End Date
    2023-01-17
    Submitted Date
    2020-02-03
    Permanent link to this record
    http://hdl.handle.net/10754/667126
    
    Metadata
    Show full item record
    Abstract
    The present study is focused on the dynamics of a microbeam-based MEMS device and analyzes its behavior in the neighborhood of the third natural frequency. An extensive experimental investigation is conducted. The main resonant and non-resonant branches span a wide range of coexistence. The 2:1 internal resonance is activated between the third and fifth modes, in which case the device exhibits complex and intriguing dynamics. The experimental data are examined in depth using various analytical and numerical tools. Alongside with the experiments, theoretical simulations are developed, where the main features of the internal resonance are properly represented and the contribution of each mode is discussed. The main steps of the progression of the 2:1 internal resonance are highlighted and the possibility of more complex internal resonances is explored, where different higher modes are involved.
    Citation
    Ruzziconi, L., Jaber, N., Kosuru, L., Bellaredj, M. L., & Younis, M. I. (2021). Two-to-one internal resonance in the higher-order modes of a MEMS beam: Experimental investigation and theoretical analysis via local stability theory. International Journal of Non-Linear Mechanics, 129, 103664. doi:10.1016/j.ijnonlinmec.2020.103664
    Sponsors
    The work has been developed during the visit of Laura Ruzziconi to King Abdullah University of Science and Technology (KAUST), Saudi Arabia; the kind hospitality is gratefully acknowledged. Nizar Jaber acknowledges support of King Fahd University of Petroleum and Minerals. This work is supported through KAUST Funds.
    Publisher
    Elsevier BV
    Journal
    International Journal of Non-Linear Mechanics
    DOI
    10.1016/j.ijnonlinmec.2020.103664
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0020746220303267
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.ijnonlinmec.2020.103664
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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