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:: 2018-12-28

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         = {2018},

  month        = {12}

}

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https://doi.org/10.1103/PhysRevLett.121.264301

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Works referenced in this record:

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

Torres, Francesc; Uranga, Arantxa; Riverola, Martí
Sensors, Vol. 16, Issue 10
DOI: 10.3390/s16101690

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

Heng-Chia Chang, ; Mishra, U. K.
IEEE Transactions on Microwave Theory and Techniques, Vol. 45, Issue 5
DOI: 10.1109/22.575575

Phase Synchronization of Two Anharmonic Nanomechanical Oscillators
journal, January 2014

Matheny, Matthew H.; Grau, Matt; Villanueva, Luis G.
Physical Review Letters, Vol. 112, Issue 1
DOI: 10.1103/PhysRevLett.112.014101

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

Spletzer, Matthew; Raman, Arvind; Sumali, Hartono
Applied Physics Letters, Vol. 92, Issue 11
DOI: 10.1063/1.2899634

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

Cross, M. C.; Rogers, J. L.; Lifshitz, Ron
Physical Review E, Vol. 73, Issue 3
DOI: 10.1103/PhysRevE.73.036205

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
DOI: 10.1109/TUFFC.2007.240

Photonic Cavity Synchronization of Nanomechanical Oscillators
journal, November 2013

Bagheri, Mahmood; Poot, Menno; Fan, Linran
Physical Review Letters, Vol. 111, Issue 21
DOI: 10.1103/PhysRevLett.111.213902

Synchronization by Nonlinear Frequency Pulling
journal, November 2004

Cross, M. C.; Zumdieck, A.; Lifshitz, Ron
Physical Review Letters, Vol. 93, Issue 22
DOI: 10.1103/PhysRevLett.93.224101

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

Rhoads, Jeffrey F.; Shaw, Steven W.; Turner, Kimberly L.
Journal of Dynamic Systems, Measurement, and Control, Vol. 132, Issue 3
DOI: 10.1115/1.4001333

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

Cho, Sungwan; Cho, Sung Un; Jo, Myunglae
Physical Review Applied, Vol. 9, Issue 6
DOI: 10.1103/PhysRevApplied.9.064023

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

Sato, M.; Hubbard, B. E.; Sievers, A. J.
Reviews of Modern Physics, Vol. 78, Issue 1
DOI: 10.1103/RevModPhys.78.137

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

Krylov, Slava; Lulinsky, Stella; Ilic, B. Robert
Applied Physics Letters, Vol. 105, Issue 7
DOI: 10.1063/1.4893593

Non-degenerate nanomechanical parametric amplifier
conference, January 2001

Olkhovets, A.; Carr, D. W.; Parpia, J. M.
Technical Digest MEMS 2001 14th IEEE International Conference on Micro Electro Mechanical Systems, Technical Digest. MEMS 2001. 14th IEEE International Conference on Micro Electro Mechanical Systems (Cat. No.01CH37090)
DOI: 10.1109/MEMSYS.2001.906537

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

Thiruvenkatanathan, P.; Woodhouse, J.
Journal of Microelectromechanical Systems, Vol. 18, Issue 5
DOI: 10.1109/JMEMS.2009.2025999

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

Spletzer, Matthew; Raman, Arvind; Wu, Alexander Q.
Applied Physics Letters, Vol. 88, Issue 25
DOI: 10.1063/1.2216889

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

Jia, Yu; Du, Sijun; Seshia, Ashwin A.
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep30167

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

Zhang, Mian; Shah, Shreyas; Cardenas, Jaime
Physical Review Letters, Vol. 115, Issue 16
DOI: 10.1103/PhysRevLett.115.163902

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

Ono, Takahito; Tanno, Keitaro; Kawai, Yusuke
Journal of Micromechanics and Microengineering, Vol. 24, Issue 2
DOI: 10.1088/0960-1317/24/2/025012

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

Thiruvenkatanathan, P.; Yan, J.; Woodhouse, J.
Applied Physics Letters, Vol. 96, Issue 8
DOI: 10.1063/1.3315877

Coherent phonon manipulation in coupled mechanical resonators
journal, July 2013

Okamoto, Hajime; Gourgout, Adrien; Chang, Chia-Yuan
Nature Physics, Vol. 9, Issue 8
DOI: 10.1038/nphys2665

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

Cudmore, P.; Holmes, C. A.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 25, Issue 2
DOI: 10.1063/1.4908604

Frequency division using a micromechanical resonance cascade
journal, December 2014

Qalandar, K. R.; Strachan, B. S.; Gibson, B.
Applied Physics Letters, Vol. 105, Issue 24
DOI: 10.1063/1.4904465

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

Kenig, Eyal; Malomed, Boris A.; Cross, M. C.
Physical Review E, Vol. 80, Issue 4
DOI: 10.1103/PhysRevE.80.046202

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

Mahboob, I.; Okamoto, H.; Onomitsu, K.
Physical Review Letters, Vol. 113, Issue 16
DOI: 10.1103/PhysRevLett.113.167203

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

Kambali, Prashant N.; Swain, Gyanadutta; Pandey, Ashok Kumar
Applied Physics Letters, Vol. 107, Issue 6
DOI: 10.1063/1.4928536

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

Gil-Santos, E.; Labousse, M.; Baker, C.
Physical Review Letters, Vol. 118, Issue 6
DOI: 10.1103/PhysRevLett.118.063605

Synchronization of Micromechanical Oscillators Using Light
journal, December 2012

Zhang, Mian; Wiederhecker, Gustavo S.; Manipatruni, Sasikanth
Physical Review Letters, Vol. 109, Issue 23
DOI: 10.1103/PhysRevLett.109.233906

Five parametric resonances in a microelectromechanical system
journal, November 1998

Turner, Kimberly L.; Miller, Scott A.; Hartwell, Peter G.
Nature, Vol. 396, Issue 6707
DOI: 10.1038/24122

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

Dick, Nir; Grutzik, Scott; Wallin, Christopher B.
Journal of Vibration and Acoustics, Vol. 140, Issue 5
DOI: 10.1115/1.4039568

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

Baskaran, Rajashree; Turner, Kimberly L.
Journal of Micromechanics and Microengineering, Vol. 13, Issue 5
DOI: 10.1088/0960-1317/13/5/323

Characterization of electrostatically coupled microcantilevers
journal, April 2005

Napoli, M.; Turner, K.
Journal of Microelectromechanical Systems, Vol. 14, Issue 2
DOI: 10.1109/JMEMS.2004.839349

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

Nayfeh, A. H.; Mook, D. T.
The Journal of the Acoustical Society of America, Vol. 62, Issue 2
DOI: 10.1121/1.381535

Response of parametrically driven nonlinear coupled oscillators with application to micromechanical and nanomechanical resonator arrays
journal, April 2003

Lifshitz, Ron; Cross, M. C.
Physical Review B, Vol. 67, Issue 13
DOI: 10.1103/PhysRevB.67.134302

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

Sato, M.; Hubbard, B. E.; Sievers, A. J.
Physical Review Letters, Vol. 90, Issue 4
DOI: 10.1103/PhysRevLett.90.044102

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

Zhao, Chun; Montaseri, Mohammad H.; Wood, Graham S.
Sensors and Actuators A: Physical, Vol. 249
DOI: 10.1016/j.sna.2016.07.015

Parametric resonance in systems with small dissipation
journal, January 2001

Mailybayev, A. A.; Seyranian, A. P.
Journal of Applied Mathematics and Mechanics, Vol. 65, Issue 5
DOI: 10.1016/S0021-8928(01)00081-8

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

Agrawal, Deepak K.; Woodhouse, Jim; Seshia, Ashwin A.
Journal of Applied Physics, Vol. 115, Issue 16
DOI: 10.1063/1.4871011

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

Linzon, Yoav; Ilic, Bojan; Lulinsky, Stella
Journal of Applied Physics, Vol. 113, Issue 16
DOI: 10.1063/1.4802680

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

Sato, M.; Hubbard, B. E.; English, L. Q.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 13, Issue 2
DOI: 10.1063/1.1540771

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

Sato, M.; Sievers, A. J.
Physical Review Letters, Vol. 98, Issue 21
DOI: 10.1103/PhysRevLett.98.214101

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

Patil, Y. S.; Chakram, S.; Chang, L.
Physical Review Letters, Vol. 115, Issue 1
DOI: 10.1103/PhysRevLett.115.017202

Electrically tunable collective response in a coupled micromechanical array
journal, December 2002

Buks, E.; Roukes, M. L.
Journal of Microelectromechanical Systems, Vol. 11, Issue 6
DOI: 10.1109/JMEMS.2002.805056

Synchronized Oscillation in Coupled Nanomechanical Oscillators
journal, April 2007

Shim, S. -B.; Imboden, M.; Mohanty, P.
Science, Vol. 316, Issue 5821
DOI: 10.1126/science.1137307

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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

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

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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

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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

Enhancing Parametric Sensitivity in Electrically Coupled MEMS Resonators
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

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

Coherent phonon manipulation in coupled mechanical resonators
journal, July 2013

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journal, February 2015

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journal, December 2014

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

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journal, October 2014

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journal, August 2015

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journal, February 2017

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journal, December 2012

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journal, November 1998

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journal, April 2018

Mechanical domain coupled mode parametric resonance and amplification in a torsional mode micro electro mechanical oscillator
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journal, April 2005

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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

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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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