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Frequency stabilization in nonlinear micromechanical oscillators

Author

Listed:
  • Dario Antonio

    (Center for Nanoscale Materials, Argonne National Laboratory)

  • Damián H. Zanette

    (Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche)

  • Daniel López

    (Center for Nanoscale Materials, Argonne National Laboratory)

Abstract

Mechanical oscillators are present in almost every electronic device. They mainly consist of a resonating element providing an oscillating output with a specific frequency. Their ability to maintain a determined frequency in a specified period of time is the most important parameter limiting their implementation. Historically, quartz crystals have almost exclusively been used as the resonating element, but micromechanical resonators are increasingly being considered to replace them. These resonators are easier to miniaturize and allow for monolithic integration with electronics. However, as their dimensions shrink to the microscale, most mechanical resonators exhibit nonlinearities that considerably degrade the frequency stability of the oscillator. Here we demonstrate that, by coupling two different vibrational modes through an internal resonance, it is possible to stabilize the oscillation frequency of nonlinear self-sustaining micromechanical resonators. Our findings provide a new strategy for engineering low-frequency noise oscillators capitalizing on the intrinsic nonlinear phenomena of micromechanical resonators.

Suggested Citation

  • Dario Antonio & Damián H. Zanette & Daniel López, 2012. "Frequency stabilization in nonlinear micromechanical oscillators," Nature Communications, Nature, vol. 3(1), pages 1-6, January.
    • Handle: RePEc:nat:natcom:v:3:y:2012:i:1:d:10.1038_ncomms1813
    DOI: 10.1038/ncomms1813
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    Cited by:

    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. 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.
    3. 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).
    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.
    5. 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.

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