Self-sustained micro mechanical oscillator with linear feedback
Abstract
Autonomous oscillators, such as clocks and lasers, produce periodic signals without any external frequency reference. In order to sustain stable periodic motions, there needs to be external energy supply as well as nonlinearity built into the oscillator to regulate the amplitude. Usually, nonlinearity is provided by the sustaining feedback mechanism, which also supplies energy, whereas the constituent resonator that determines the output frequency stays linear. Here we propose a new self-sustaining scheme that relies on the nonlinearity originating from the resonator itself to limit the oscillation amplitude, while the feedback remains linear. We introduce a model to describe the working principle of the self-sustained oscillations and validate it with experiments performed on a nonlinear microelectromechanical (MEMS) based oscillator.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States). Center for Nanoscale Materials
- Consejo Nacional de Investigaciones Cientificas y Tecnicas, San Carlos de Bariloche (Argentina)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1339556
- Alternate Identifier(s):
- OSTI ID: 1259973
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 1; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Chen, Changyao, Zanette, Damian H., Guest, Jeffrey R., Czaplewski, David A., and Lopez, Daniel. Self-sustained micro mechanical oscillator with linear feedback. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.117.017203.
Chen, Changyao, Zanette, Damian H., Guest, Jeffrey R., Czaplewski, David A., & Lopez, Daniel. Self-sustained micro mechanical oscillator with linear feedback. United States. https://doi.org/10.1103/PhysRevLett.117.017203
Chen, Changyao, Zanette, Damian H., Guest, Jeffrey R., Czaplewski, David A., and Lopez, Daniel. Fri .
"Self-sustained micro mechanical oscillator with linear feedback". United States. https://doi.org/10.1103/PhysRevLett.117.017203. https://www.osti.gov/servlets/purl/1339556.
@article{osti_1339556,
title = {Self-sustained micro mechanical oscillator with linear feedback},
author = {Chen, Changyao and Zanette, Damian H. and Guest, Jeffrey R. and Czaplewski, David A. and Lopez, Daniel},
abstractNote = {Autonomous oscillators, such as clocks and lasers, produce periodic signals without any external frequency reference. In order to sustain stable periodic motions, there needs to be external energy supply as well as nonlinearity built into the oscillator to regulate the amplitude. Usually, nonlinearity is provided by the sustaining feedback mechanism, which also supplies energy, whereas the constituent resonator that determines the output frequency stays linear. Here we propose a new self-sustaining scheme that relies on the nonlinearity originating from the resonator itself to limit the oscillation amplitude, while the feedback remains linear. We introduce a model to describe the working principle of the self-sustained oscillations and validate it with experiments performed on a nonlinear microelectromechanical (MEMS) based oscillator.},
doi = {10.1103/PhysRevLett.117.017203},
journal = {Physical Review Letters},
number = 1,
volume = 117,
place = {United States},
year = {Fri Jul 01 00:00:00 EDT 2016},
month = {Fri Jul 01 00:00:00 EDT 2016}
}
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Works referenced in this record:
A self-sustaining ultrahigh-frequency nanoelectromechanical oscillator
journal, May 2008
- Feng, X. L.; White, C. J.; Hajimiri, A.
- Nature Nanotechnology, Vol. 3, Issue 6
Surpassing Fundamental Limits of Oscillators Using Nonlinear Resonators
journal, April 2013
- Villanueva, L. G.; Kenig, E.; Karabalin, R. B.
- Physical Review Letters, Vol. 110, Issue 17
MEMS technology for timing and frequency control
journal, January 2007
- Nguyen, Clark
- IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, Vol. 54, Issue 2, p. 251-270
Frequency stabilization in nonlinear micromechanical oscillators
journal, January 2012
- Antonio, Dario; Zanette, Damián H.; López, Daniel
- Nature Communications, Vol. 3, Issue 1
Duffing revisited: phase-shift control and internal resonance in self-sustained oscillators
journal, January 2016
- Arroyo, Sebastián I.; Zanette, Damián H.
- The European Physical Journal B, Vol. 89, Issue 1
Nanoelectromechanical systems
journal, June 2005
- Ekinci, K. L.; Roukes, M. L.
- Review of Scientific Instruments, Vol. 76, Issue 6, Article No. 061101
Graphene mechanical oscillators with tunable frequency
journal, November 2013
- Chen, Changyao; Lee, Sunwoo; Deshpande, Vikram V.
- Nature Nanotechnology, Vol. 8, Issue 12
Infrared and Optical Masers
journal, December 1958
- Schawlow, A. L.; Townes, C. H.
- Physical Review, Vol. 112, Issue 6
Spectral distribution of nonlinear oscillators with nonlinear friction due to a medium
journal, March 1975
- Dykman, M. I.; Krivoglaz, M. A.
- physica status solidi (b), Vol. 68, Issue 1
Low-Power Crystal and MEMS Oscillators
book, January 2010
- Vittoz, Eric
- Integrated Circuits and Systems
Stimulated Optical Radiation in Ruby
journal, August 1960
- Maiman, T. H.
- Nature, Vol. 187, Issue 4736
Observation of Nonlinear Dissipation in Piezoresistive Diamond Nanomechanical Resonators by Heterodyne Down-Mixing
journal, August 2013
- Imboden, Matthias; Williams, Oliver A.; Mohanty, Pritiraj
- Nano Letters, Vol. 13, Issue 9
Dynamic range of nanotube- and nanowire-based electromechanical systems
journal, May 2005
- Postma, H. W. Ch.; Kozinsky, I.; Husain, A.
- Applied Physics Letters, Vol. 86, Issue 22
An integrated CMOS micromechanical resonator high-Q oscillator
journal, April 1999
- Nguyen, C. T. -C.; Howe, R. T.
- IEEE Journal of Solid-State Circuits, Vol. 34, Issue 4
A Nanoscale Parametric Feedback Oscillator
journal, November 2011
- Villanueva, L. Guillermo; Karabalin, Rassul B.; Matheny, Matthew H.
- Nano Letters, Vol. 11, Issue 11
Dissipation in nanoelectromechanical systems
journal, January 2014
- Imboden, Matthias; Mohanty, Pritiraj
- Physics Reports, Vol. 534, Issue 3
A review of MEMS oscillators for frequency reference and timing applications
journal, December 2011
- van Beek, J. T. M.; Puers, R.
- Journal of Micromechanics and Microengineering, Vol. 22, Issue 1
Advances in atomic force microscopy
journal, July 2003
- Giessibl, Franz J.
- Reviews of Modern Physics, Vol. 75, Issue 3
Series-resonant VHF micromechanical resonator reference oscillators
journal, December 2004
- Yu-Wei Lin,
- IEEE Journal of Solid-State Circuits, Vol. 39, Issue 12
Towards single-molecule nanomechanical mass spectrometry
journal, June 2009
- Naik, A. K.; Hanay, M. S.; Hiebert, W. K.
- Nature Nanotechnology, Vol. 4, Issue 7
Thermal nonlinearities in a nanomechanical oscillator
journal, November 2013
- Gieseler, Jan; Novotny, Lukas; Quidant, Romain
- Nature Physics, Vol. 9, Issue 12
Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators
journal, January 2015
- Antonio, Dario; Czaplewski, David A.; Guest, Jeffrey R.
- Physical Review Letters, Vol. 114, Issue 3, Article No. 034103
Nonlinear Energy Harvesting
journal, February 2009
- Cottone, F.; Vocca, H.; Gammaitoni, L.
- Physical Review Letters, Vol. 102, Issue 8
Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response
journal, April 2016
- Polunin, Pavel M.; Yang, Yushi; Dykman, Mark I.
- Journal of Microelectromechanical Systems, Vol. 25, Issue 2
Works referencing / citing this record:
Effects of noise on the internal resonance of a nonlinear oscillator
journal, April 2018
- Zanette, Damián H.
- Scientific Reports, Vol. 8, Issue 1
Resonance tracking in a micromechanical device using phononic frequency combs
journal, July 2019
- Ganesan, Adarsh; Seshia, Ashwin
- Scientific Reports, Vol. 9, Issue 1
Effective quality factor tuning mechanisms in micromechanical resonators
journal, December 2018
- Miller, James M. Lehto; Ansari, Azadeh; Heinz, David B.
- Applied Physics Reviews, Vol. 5, Issue 4
Absolute deflection measurements in a micro- and nano-electromechanical Fabry-Perot interferometry system
journal, July 2019
- De Alba, Roberto; Wallin, Christopher B.; Holland, Glenn
- Journal of Applied Physics, Vol. 126, Issue 1
Energy exchange between coupled mechanical oscillators: linear regimes
journal, September 2018
- Zanette, Damián H.
- Journal of Physics Communications, Vol. 2, Issue 9
Ultrabroadband Microresonators with Geometrically Nonlinear Stiffness and Dissipation
journal, January 2020
- Potekin, Randi; Asadi, Keivan; Kim, Seok
- Physical Review Applied, Vol. 13, Issue 1
Stability of two-mode internal resonance in a nonlinear oscillator
journal, May 2018
- Zanette, Damián H.
- The European Physical Journal B, Vol. 91, Issue 5
Resonance tracking in a micromechanical device using phononic frequency combs.
text, January 2019
- Ganesan, Adarsh; Seshia, Ashwin
- Apollo - University of Cambridge Repository
Resonance tracking in a micromechanical device using phononic frequency combs
text, January 2019
- Ganesan, Adarsh; Seshia, Ashwin
- Apollo - University of Cambridge Repository