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Measuring Frequency Fluctuations in Nonlinear Nanomechanical Resonators.

Olivier Maillet1, Xin Zhou1, Rasul R Gazizulin1

  • 1Université Grenoble Alpes, CNRS Institut Néel , BP 166, 38042 Grenoble Cedex 9 , France.

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|May 8, 2018
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Summary
This summary is machine-generated.

Researchers developed a simple technique to measure frequency noise in nonlinear mechanical devices. This method reveals unexpected damping fluctuations near bifurcation points, offering new insights into nanomechanical device limitations.

Keywords:
bifurcationdamping fluctuationsfrequency fluctuationsnanomechanicsnonlinearity

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Area of Science:

  • Nanomechanics
  • Mechanical Engineering
  • Materials Science

Background:

  • Nanomechanical devices, including MoS2 and graphene membranes, are increasingly used in sensing and component applications.
  • Frequency noise is a significant limitation in nanomechanical devices, with its origins not fully understood.
  • Existing research highlights the T/f dependence of frequency noise power spectra in these systems.

Purpose of the Study:

  • To present a simple technique for measuring frequency noise in nonlinear mechanical devices utilizing bistability.
  • To investigate frequency noise and damping fluctuations in silicon-nitride doubly clamped beams under cryogenic conditions.
  • To explore the impact of noise on bifurcation frequency measurements and its dependence on mode number.

Main Methods:

  • A novel technique based on bistability was employed to measure frequency noise in nanomechanical devices.
  • Experiments were conducted on silicon-nitride high-stress doubly clamped beams in a cryogenic environment.
  • Frequency noise power spectra and damping fluctuations were analyzed as a function of temperature, frequency, and mode number.

Main Results:

  • The study confirmed the T/f dependence of frequency noise power spectra, consistent with existing literature.
  • Unexpected damping fluctuations were observed, amplified near bifurcation points, distinct from nonlinear dephasing.
  • Relative frequency noise (δf/f0) was measured between 0.5-0.01 ppm for the fundamental flexure and decreased with increasing mode number.

Conclusions:

  • The developed technique offers a straightforward method for assessing frequency noise in nanomechanical systems.
  • Observed damping fluctuations present a fundamental limit for measuring bifurcation frequencies in nonlinear devices.
  • This work contributes to understanding intrinsic noise sources in nanomechanical structures, paving the way for improved device performance.