IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v177y2023ics0960077923010469.html
   My bibliography  Save this article

Multiple internal resonance couplings and quasi-periodicity patterns in hybrid-shaped micromachined resonators

Author

Listed:
  • Ruzziconi, Laura
  • Hajjaj, Amal Z.

Abstract

Micro- and nano-electromechanical systems may experience internal resonances, which are inherently strengthened by the systems' nonlinearities. In the present paper, we investigate the dynamics of a hybrid resonator, combining straight and initially curved microbeam shapes. The curved part length is tailored to monitor the three lowest natural frequencies and induce simultaneous internal resonances between first and second modes and second and third modes. We examine the nonlinear interaction of dual hardening and softening bending of the fundamental frequency response curves. Due to the specific frequency ratios, different types of subcombination internal resonances emerge, with quasi-periodic energy transfer among the modes. The subcombination may result in frequencies closely-spaced, which leads to quasi-periodic beating among the frequencies involved and, due to the strong nonlinearities, to the emergence of intermodulation products. We analyze the different patterns underlying the quasi-periodicity, which are intrinsically related to the frequency ratios and deeply affected by the nonlinearities.

Suggested Citation

  • Ruzziconi, Laura & Hajjaj, Amal Z., 2023. "Multiple internal resonance couplings and quasi-periodicity patterns in hybrid-shaped micromachined resonators," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    • Handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923010469
    DOI: 10.1016/j.chaos.2023.114145
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923010469
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114145?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Changyao Chen & Damián H. Zanette & David A. Czaplewski & Steven Shaw & Daniel López, 2017. "Direct observation of coherent energy transfer in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 8(1), pages 1-7, August.
    2. Dario Antonio & Damián H. Zanette & Daniel López, 2012. "Frequency stabilization in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 3(1), pages 1-6, January.
    3. Zhang, Jingyu & Li, Xuefeng & Li, Renfu & Dai, Lu & Wang, Wei & Yang, Kai, 2021. "Internal resonance of a two-degree-of-freedom tuned bistable electromagnetic actuator," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gusso, André & Viana, Ricardo L. & Mathias, Amanda C. & Caldas, Iberê L., 2019. "Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 6-16.
    2. Tongqiao Miao & Xin Zhou & Xuezhong Wu & Qingsong Li & Zhanqiang Hou & Xiaoping Hu & Zenghui Wang & Dingbang Xiao, 2022. "Nonlinearity-mediated digitization and amplification in electromechanical phonon-cavity systems," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. Axel M. Eriksson & Oriel Shoshani & Daniel López & Steven W. Shaw & David A. Czaplewski, 2023. "Controllable branching of robust response patterns in nonlinear mechanical resonators," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    4. Thibaut Detroux & Jean-Philippe Noël & Lawrence N Virgin & Gaëtan Kerschen, 2018. "Experimental study of isolas in nonlinear systems featuring modal interactions," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-25, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923010469. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.