Spatial Modulation of Nonlinear Flexural Vibrations of Membrane Resonators

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Physical Review Letters. 2019, 122(15), 154301. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.122.154301
Zusammenfassung

We study the vibrational motion of mechanical resonators under strong drive in the strongly nonlinear regime. By imaging the vibrational state of rectangular silicon nitride membrane resonators and by analyzing the frequency response using optical interferometry, we show that, upon increasing the driving strength, the membrane adopts a peculiar deflection pattern formed by concentric rings superimposed onto the drum head shape of the fundamental mode. Such a circular symmetry cannot be described as a superposition of a small number of excited linear eigenmodes. Furthermore, different parts of the membrane vibrate at different multiples of the drive frequency, an observation that we denominate as "localization of overtones." We introduce a phenomenological model that is based on the coupling of a small number of effective nonlinear resonators, representing the different parts of the membrane, and that describes the experimental observations correctly.

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ISO 690YANG, Fan, Felix ROCHAU, Jana Simone OCHS, Alexandre BRIEUSSEL, Gianluca RASTELLI, Eva M. WEIG, Elke SCHEER, 2019. Spatial Modulation of Nonlinear Flexural Vibrations of Membrane Resonators. In: Physical Review Letters. 2019, 122(15), 154301. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.122.154301
BibTex
@article{Yang2019-04-19Spati-45827,
  year={2019},
  doi={10.1103/PhysRevLett.122.154301},
  title={Spatial Modulation of Nonlinear Flexural Vibrations of Membrane Resonators},
  number={15},
  volume={122},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Yang, Fan and Rochau, Felix and Ochs, Jana Simone and Brieussel, Alexandre and Rastelli, Gianluca and Weig, Eva M. and Scheer, Elke},
  note={Article Number: 154301}
}
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