Direct observation of coherent energy transfer in nonlinear micromechanical oscillators
Abstract
Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. In an oscillatory system, it leads to the decay of the oscillation amplitude. In situations where stable oscillations are required, the energy dissipated by the vibrations is usually compensated by replenishment from external energy sources. Consequently, if the external energy supply is removed, the amplitude of oscillations start to decay immediately, since there is no means to restitute the energy dissipated. Here, we demonstrate a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses. The fundamental intrinsic mechanism of resonant mode coupling is used to redistribute and store mechanical energy among vibrational modes and coherently transfer it back to the principal mode when the external excitation is off. To experimentally demonstrate this phenomenon, we exploit the nonlinear dynamic response of microelectromechanical oscillators to couple two different vibrational modes through an internal resonance.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Comision Nacional de Energia Atomica (CNEA), Rio Negro (Argentina). Centro Atomico Bariloche (CAB)
- Florida Inst. of Technology, Melbourne, FL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1364394
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 8; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 77 NANOSCIENCE AND NANOTECHNOLOGY
Citation Formats
Chen, Changyao, Zanette, Damian H., Czaplewski, David A., Shaw, Steven, and Lopez, Daniel. Direct observation of coherent energy transfer in nonlinear micromechanical oscillators. United States: N. p., 2017.
Web. doi:10.1038/ncomms15523.
Chen, Changyao, Zanette, Damian H., Czaplewski, David A., Shaw, Steven, & Lopez, Daniel. Direct observation of coherent energy transfer in nonlinear micromechanical oscillators. United States. https://doi.org/10.1038/ncomms15523
Chen, Changyao, Zanette, Damian H., Czaplewski, David A., Shaw, Steven, and Lopez, Daniel. Fri .
"Direct observation of coherent energy transfer in nonlinear micromechanical oscillators". United States. https://doi.org/10.1038/ncomms15523. https://www.osti.gov/servlets/purl/1364394.
@article{osti_1364394,
title = {Direct observation of coherent energy transfer in nonlinear micromechanical oscillators},
author = {Chen, Changyao and Zanette, Damian H. and Czaplewski, David A. and Shaw, Steven and Lopez, Daniel},
abstractNote = {Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. In an oscillatory system, it leads to the decay of the oscillation amplitude. In situations where stable oscillations are required, the energy dissipated by the vibrations is usually compensated by replenishment from external energy sources. Consequently, if the external energy supply is removed, the amplitude of oscillations start to decay immediately, since there is no means to restitute the energy dissipated. Here, we demonstrate a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses. The fundamental intrinsic mechanism of resonant mode coupling is used to redistribute and store mechanical energy among vibrational modes and coherently transfer it back to the principal mode when the external excitation is off. To experimentally demonstrate this phenomenon, we exploit the nonlinear dynamic response of microelectromechanical oscillators to couple two different vibrational modes through an internal resonance.},
doi = {10.1038/ncomms15523},
journal = {Nature Communications},
number = ,
volume = 8,
place = {United States},
year = {Fri May 26 00:00:00 EDT 2017},
month = {Fri May 26 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Structural optimization for nonlinear dynamic response
journal, September 2015
- Dou, Suguang; Strachan, B. Scott; Shaw, Steven W.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2051
Structural optimization for nonlinear dynamic response
journal, September 2015
- Dou, Suguang; Strachan, B. Scott; Shaw, Steven W.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2051
Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity
text, January 2014
- Singh, V.; Bosman, S. J.; Schneider, B. H.
- arXiv
Frequency stabilization in nonlinear micromechanical oscillators
journal, January 2012
- Antonio, Dario; Zanette, Damián H.; López, Daniel
- Nature Communications, Vol. 3, Issue 1
Optomechanically Induced Transparency
journal, November 2010
- Weis, Stefan; Rivière, Rémi; Deléglise, Samuel
- Science, Vol. 330, Issue 6010
Sideband cooling of micromechanical motion to the quantum ground state
journal, July 2011
- Teufel, J. D.; Donner, T.; Li, Dale
- Nature, Vol. 475, Issue 7356
Frequency stabilization in nonlinear micromechanical oscillators
journal, January 2012
- Antonio, Dario; Zanette, Damián H.; López, Daniel
- Nature Communications, Vol. 3, Issue 1
Self-Sustained Micromechanical Oscillator with Linear Feedback
journal, July 2016
- Chen, Changyao; Zanette, Damián H.; Guest, Jeffrey R.
- Physical Review Letters, Vol. 117, Issue 1
Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance
journal, December 2017
- Shoshani, O.; Shaw, S. W.; Dykman, M. I.
- Scientific Reports, Vol. 7, Issue 1
Rapid switching in high-Q mechanical resonators
journal, August 2014
- Okamoto, Hajime; Mahboob, Imran; Onomitsu, Koji
- Applied Physics Letters, Vol. 105, Issue 8
Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature
journal, April 2016
- Norte, R. A.; Moura, J. P.; Gröblacher, S.
- Physical Review Letters, Vol. 116, Issue 14
Optomechanically Induced Transparency
journal, November 2010
- Weis, Stefan; Rivière, Rémi; Deléglise, Samuel
- Science, Vol. 330, Issue 6010
Frequency fluctuations in silicon nanoresonators
journal, February 2016
- Sansa, Marc; Sage, Eric; Bullard, Elizabeth C.
- Nature Nanotechnology, Vol. 11, Issue 6
Measurement of the Casimir Force between Dissimilar Metals
journal, July 2003
- Decca, R. S.; López, D.; Fischbach, E.
- Physical Review Letters, Vol. 91, Issue 5
FPU physics with nanomechanical graphene resonators: intrinsic relaxation and thermalization from flexural mode coupling
text, January 2013
- Midtvedt, Daniel; Qi, Zenan; Croy, Alexander
- arXiv
Nonlinear Energy Harvesting
journal, February 2009
- Cottone, F.; Vocca, H.; Gammaitoni, L.
- Physical Review Letters, Vol. 102, Issue 8
Fermi-Pasta-Ulam Physics with Nanomechanical Graphene Resonators: Intrinsic Relaxation and Thermalization from Flexural Mode Coupling
journal, April 2014
- Midtvedt, Daniel; Croy, Alexander; Isacsson, Andreas
- Physical Review Letters, Vol. 112, Issue 14
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
A Mechanical Mass Sensor with Yoctogram Resolution
text, January 2012
- Chaste, J.; Eichler, A.; Moser, J.
- arXiv
A self-sustaining ultrahigh-frequency nanoelectromechanical oscillator
journal, May 2008
- Feng, X. L.; White, C. J.; Hajimiri, A.
- Nature Nanotechnology, Vol. 3, Issue 6
Wavelength add-drop switching using tilting micromirrors
journal, May 1999
- Ford, J. E.; Aksyuk, V. A.; Bishop, D. J.
- Journal of Lightwave Technology, Vol. 17, Issue 5
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
Cavity Optomechanics with Stoichiometric SiN Films
journal, November 2009
- Wilson, D. J.; Regal, C. A.; Papp, S. B.
- Physical Review Letters, Vol. 103, Issue 20
Sideband Cooling Micromechanical Motion to the Quantum Ground State
text, January 2011
- Teufel, J. D.; Donner, T.; Li, Dale
- arXiv
Optomechanical crystals
journal, October 2009
- Eichenfield, Matt; Chan, Jasper; Camacho, Ryan M.
- Nature, Vol. 462, Issue 7269, p. 78-82
Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 116, Issue 6
Optomechanical coupling between a multilayer graphene mechanical resonator and a superconducting microwave cavity
journal, August 2014
- Singh, V.; Bosman, S. J.; Schneider, B. H.
- Nature Nanotechnology, Vol. 9, Issue 10
Internal resonance for nonlinear vibration energy harvesting
journal, November 2015
- Cao, D. X.; Leadenham, S.; Erturk, A.
- The European Physical Journal Special Topics, Vol. 224, Issue 14-15
Graphene nanoelectromechanical systems
journal, July 2013
- Changyao Chen, ; Hone, J.
- Proceedings of the IEEE, Vol. 101, Issue 7
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
Accurate Modeling of Quality Factor Behavior of Complex Silicon MEMS Resonators
journal, April 2015
- Ghaffari, Shirin; Ng, Eldwin Jiaqiang; Ahn, Chae Hyuck
- Journal of Microelectromechanical Systems, Vol. 24, Issue 2
Frequency fluctuations in silicon nanoresonators
journal, February 2016
- Sansa, Marc; Sage, Eric; Bullard, Elizabeth C.
- Nature Nanotechnology, Vol. 11, Issue 6
Phonon-cavity electromechanics
journal, April 2012
- Mahboob, I.; Nishiguchi, K.; Okamoto, H.
- Nature Physics, Vol. 8, Issue 5
Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics
journal, April 2016
- Reinhardt, Christoph; Müller, Tina; Bourassa, Alexandre
- Physical Review X, Vol. 6, Issue 2
Works referencing / citing this record:
Dynamic modulation of modal coupling in microelectromechanical gyroscopic ring resonators.
text, January 2019
- Zhou, Xin; Zhao, Chun; Xiao, Dingbang
- Apollo - University of Cambridge Repository
Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance
journal, December 2017
- Shoshani, O.; Shaw, S. W.; Dykman, M. I.
- Scientific Reports, Vol. 7, Issue 1
Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance
journal, June 2019
- Czaplewski, David A.; Strachan, Scott; Shoshani, Oriel
- Applied Physics Letters, Vol. 114, Issue 25
Effects of noise on the internal resonance of a nonlinear oscillator
journal, April 2018
- Zanette, Damián H.
- Scientific Reports, Vol. 8, Issue 1
Cascadable microelectromechanical resonator logic gate
journal, November 2018
- Ilyas, S.; Ahmed, S.; Hafiz, Md A. A.
- Journal of Micromechanics and Microengineering, Vol. 29, Issue 1
Internal resonance between the extensional and flexural modes in micromechanical resonators
journal, October 2019
- Zhang, Tianyi; Guo, Chaowei; Jiang, Zhuangde
- Journal of Applied Physics, Vol. 126, Issue 16
Using flexural MEMS to study and exploit nonlinearities: a review
journal, June 2019
- Tiwari, Sidhant; Candler, Rob N.
- Journal of Micromechanics and Microengineering, Vol. 29, Issue 8
Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
journal, September 2019
- Huang, L.; Soskin, S. M.; Khovanov, I. A.
- Nature Communications, Vol. 10, Issue 1
On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models
journal, June 2019
- Givois, Arthur; Grolet, Aurélien; Thomas, Olivier
- Nonlinear Dynamics, Vol. 97, Issue 2
Dynamic modulation of modal coupling in microelectromechanical gyroscopic ring resonators
journal, October 2019
- Zhou, Xin; Zhao, Chun; Xiao, Dingbang
- Nature Communications, Vol. 10, Issue 1
Stress-Controlled Frequency Tuning and Parametric Amplification of the Vibrations of Coupled Nanomembranes
journal, November 2019
- Naserbakht, Sepideh; Naesby, Andreas; Dantan, Aurélien
- Applied Sciences, Vol. 9, Issue 22
Nonlinear Coupled Vibration of Electrically Actuated Arch with Flexible Supports
journal, October 2019
- Wang, Ze; Ren, Jianting
- Micromachines, Vol. 10, Issue 11
Nonlinear couplings and energy transfers in micro- and nano-mechanical resonators: intermodal coupling, internal resonance and synchronization
journal, July 2018
- Asadi, Keivan; Yu, Jun; Cho, Hanna
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 2127
Tuning linear and nonlinear characteristics of a resonator via nonlinear interaction with a secondary resonator
journal, August 2019
- Shoshani, Oriel; Dykman, Mark I.; Shaw, Steven W.
- Nonlinear Dynamics, Vol. 99, Issue 1
Sensitivity enhancement of a resonant mass sensor based on internal resonance
journal, November 2018
- Zhang, Tianyi; Wei, Xueyong; Jiang, Zhuangde
- Applied Physics Letters, Vol. 113, Issue 22
Nonlinear polarization coupling in freestanding nanowire/nanotube resonators
journal, January 2019
- Vincent, P.; Descombin, A.; Dagher, S.
- Journal of Applied Physics, Vol. 125, Issue 4
Demonstration of Multiple Internal Resonances in a Microelectromechanical Self-Sustained Oscillator
journal, January 2020
- Houri, S.; Hatanaka, D.; Asano, M.
- Physical Review Applied, Vol. 13, Issue 1
Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
text, January 2019
- Huang, L.; Soskin, S. M.; Khovanov, I. A.
- arXiv
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
Dynamic modulation of modal coupling in microelectromechanical gyroscopic ring resonators
text, January 2019
- Zhou, Xin; Zhao, Chun; Xiao, Dingbang
- Apollo - University of Cambridge Repository
Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression
text, January 2019
- Renson, L.; Sieber, J.; Barton, D. A. W.
- arXiv
Derivation of nonlinear damping from viscoelasticity in case of nonlinear vibrations
journal, May 2018
- Amabili, Marco
- Nonlinear Dynamics, Vol. 97, Issue 3
Energy exchange between coupled mechanical oscillators: linear regimes
journal, September 2018
- Zanette, Damián H.
- Journal of Physics Communications, Vol. 2, Issue 9
Tuning of geometric nonlinearity in ultrathin nanoelectromechanical systems
journal, September 2018
- Samanta, Chandan; Arora, Nishta; Naik, A. K.
- Applied Physics Letters, Vol. 113, Issue 11
Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
text, January 2019
- Huang, L.; Soskin, S. M.; Khovanov, I. A.
- arXiv
Dynamic modulation of modal coupling in microelectromechanical gyroscopic ring resonators
text, January 2019
- Zhou, Xin; Zhao, Chun; Xiao, Dingbang
- Apollo - University of Cambridge Repository
Anomalous scaling of flexural phonon damping in nanoresonators with confined fluid
journal, January 2019
- De, Subhadeep; Aluru, Narayana R.
- Microsystems & Nanoengineering, Vol. 5, Issue 1
Numerical continuation in nonlinear experiments using local Gaussian process regression
journal, August 2019
- Renson, L.; Sieber, J.; Barton, D. A. W.
- Nonlinear Dynamics, Vol. 98, Issue 4
Theoretical and experimental investigations of the crossover phenomenon in micromachined arch resonator: part II—simultaneous 1:1 and 2:1 internal resonances
journal, September 2019
- Hajjaj, Amal Z.; Alfosail, Feras K.; Jaber, Nizar
- Nonlinear Dynamics, Vol. 99, Issue 1
Effects of noise on the internal resonance of a nonlinear oscillator
journal, April 2018
- Zanette, Damián H.
- Scientific Reports, Vol. 8, Issue 1
Nonlinear mode coupling and internal resonance observed in a dusty plasma
journal, October 2019
- Ding, Zhiyue; Qiao, Ke; Ernst, Nicholas
- New Journal of Physics, Vol. 21, Issue 10