Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies

Wallin, Christopher B.; De Alba, Roberto; Westly, Daron; Holland, Glenn; Grutzik, Scott; Rand, Richard H.; Zehnder, Alan T.; Aksyuk, Vladimir A.; Krylov, Slava; Ilic, B. Robert

doi:10.1103/PhysRevLett.121.264301

Title: Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies

Authors:: Wallin, Christopher B.; De Alba, Roberto; Westly, Daron; Holland, Glenn; Grutzik, Scott; Rand, Richard H.; Zehnder, Alan T.; Aksyuk, Vladimir A.; Krylov, Slava; Ilic, B. Robert

Publication Date:: Fri Dec 28 00:00:00 EST 2018

Sponsoring Org.:: USDOE

OSTI Identifier:: 1489070

Grant/Contract Number:: NA0003525

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 26; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Wallin, Christopher B., De Alba, Roberto, Westly, Daron, Holland, Glenn, Grutzik, Scott, Rand, Richard H., Zehnder, Alan T., Aksyuk, Vladimir A., Krylov, Slava, and Ilic, B. Robert. Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.121.264301.

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                    Wallin, Christopher B., De Alba, Roberto, Westly, Daron, Holland, Glenn, Grutzik, Scott, Rand, Richard H., Zehnder, Alan T., Aksyuk, Vladimir A., Krylov, Slava, & Ilic, B. Robert. Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies.  United States.  https://doi.org/10.1103/PhysRevLett.121.264301

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                    Wallin, Christopher B., De Alba, Roberto, Westly, Daron, Holland, Glenn, Grutzik, Scott, Rand, Richard H., Zehnder, Alan T., Aksyuk, Vladimir A., Krylov, Slava, and Ilic, B. Robert. Fri .  
"Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies".  United States.  https://doi.org/10.1103/PhysRevLett.121.264301.

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@article{osti_1489070,

  title        = {Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies},

  author       = {Wallin, Christopher B. and De Alba, Roberto and Westly, Daron and Holland, Glenn and Grutzik, Scott and Rand, Richard H. and Zehnder, Alan T. and Aksyuk, Vladimir A. and Krylov, Slava and Ilic, B. Robert},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.121.264301},

  journal      = {Physical Review Letters},

  number       = 26,

  volume       = 121,

  place        = {United States},

  year         = {Fri Dec 28 00:00:00 EST 2018},

  month        = {Fri Dec 28 00:00:00 EST 2018}

}

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Title: Nondegenerate Parametric Resonance in Large Ensembles of Coupled Micromechanical Cantilevers with Varying Natural Frequencies

Citation Formats

Enhancement of Frequency Stability Using Synchronization of a Cantilever Array for MEMS-Based Sensors journal, October 2016

Phase noise in coupled oscillators: theory and experiment journal, May 1997

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators journal, January 2014

Highly sensitive mass detection and identification using vibration localization in coupled microcantilever arrays journal, March 2008

Synchronization by reactive coupling and nonlinear frequency pulling journal, March 2006

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Photonic Cavity Synchronization of Nanomechanical Oscillators journal, November 2013

Synchronization by Nonlinear Frequency Pulling journal, November 2004

Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators journal, April 2010

Strong Two-Mode Parametric Interaction and Amplification in a Nanomechanical Resonator journal, June 2018

Colloquium : Nonlinear energy localization and its manipulation in micromechanical oscillator arrays journal, January 2006

Collective dynamics and pattern switching in an array of parametrically excited micro cantilevers interacting through fringing electrostatic fields journal, August 2014

Non-degenerate nanomechanical parametric amplifier conference, January 2001

Enhancing Parametric Sensitivity in Electrically Coupled MEMS Resonators journal, October 2009

Ultrasensitive mass sensing using mode localization in coupled microcantilevers journal, June 2006

Twenty-Eight Orders of Parametric Resonance in a Microelectromechanical Device for Multi-band Vibration Energy Harvesting journal, July 2016

Synchronization and Phase Noise Reduction in Micromechanical Oscillator Arrays Coupled through Light journal, October 2015

Synchronized micromechanical resonators with a nonlinear coupling element journal, January 2014

Ultrasensitive mode-localized mass sensor with electrically tunable parametric sensitivity journal, February 2010

Coherent phonon manipulation in coupled mechanical resonators journal, July 2013

Phase and amplitude dynamics of nonlinearly coupled oscillators journal, February 2015

Frequency division using a micromechanical resonance cascade journal, December 2014

Intrinsic localized modes in parametrically driven arrays of nonlinear resonators journal, October 2009

Two-Mode Thermal-Noise Squeezing in an Electromechanical Resonator journal, October 2014

Coupling and tuning of modal frequencies in direct current biased microelectromechanical systems arrays journal, August 2015

Light-Mediated Cascaded Locking of Multiple Nano-Optomechanical Oscillators journal, February 2017

Synchronization of Micromechanical Oscillators Using Light journal, December 2012

Five parametric resonances in a microelectromechanical system journal, November 1998

Actuation of Higher Harmonics in Large Arrays of Micromechanical Cantilevers for Expanded Resonant Peak Separation journal, April 2018

Mechanical domain coupled mode parametric resonance and amplification in a torsional mode micro electro mechanical oscillator journal, June 2003

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Parametric excitations of linear systems having many degrees of freedom journal, August 1977

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Observation of Locked Intrinsic Localized Vibrational Modes in a Micromechanical Oscillator Array journal, January 2003

A review on coupled MEMS resonators for sensing applications utilizing mode localization journal, October 2016

Parametric resonance in systems with small dissipation journal, January 2001

Synchronization in a coupled architecture of microelectromechanical oscillators journal, April 2014

Efficient parametric excitation of silicon-on-insulator microcantilever beams by fringing electrostatic fields journal, April 2013

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays journal, June 2003

Driven Localized Excitations in the Acoustic Spectrum of Small Nonlinear Macroscopic and Microscopic Lattices journal, May 2007

Thermomechanical Two-Mode Squeezing in an Ultrahigh- Q Membrane Resonator journal, June 2015

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Synchronized Oscillation in Coupled Nanomechanical Oscillators journal, April 2007

Enhancement of Frequency Stability Using Synchronization of a Cantilever Array for MEMS-Based Sensors
journal, October 2016

Phase noise in coupled oscillators: theory and experiment
journal, May 1997

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
journal, January 2014

Highly sensitive mass detection and identification using vibration localization in coupled microcantilever arrays
journal, March 2008

Synchronization by reactive coupling and nonlinear frequency pulling
journal, March 2006

MEMS technology for timing and frequency control
journal, January 2007

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journal, November 2013

Synchronization by Nonlinear Frequency Pulling
journal, November 2004

Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators
journal, April 2010

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journal, June 2018

Colloquium : Nonlinear energy localization and its manipulation in micromechanical oscillator arrays
journal, January 2006

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journal, August 2014

Non-degenerate nanomechanical parametric amplifier
conference, January 2001

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journal, October 2009

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journal, June 2006

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journal, July 2016

Synchronization and Phase Noise Reduction in Micromechanical Oscillator Arrays Coupled through Light
journal, October 2015

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journal, January 2014

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journal, February 2010

Coherent phonon manipulation in coupled mechanical resonators
journal, July 2013

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journal, February 2015

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Intrinsic localized modes in parametrically driven arrays of nonlinear resonators
journal, October 2009

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journal, February 2017

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journal, November 1998

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journal, April 2018

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journal, April 2005

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journal, August 1977

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journal, January 2003

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journal, October 2016

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journal, January 2001

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journal, April 2013

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays
journal, June 2003

Driven Localized Excitations in the Acoustic Spectrum of Small Nonlinear Macroscopic and Microscopic Lattices
journal, May 2007

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journal, June 2015

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