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Title: Nonlinearity induced synchronization enhancement in mechanical oscillators

Abstract

An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein, are the key determinants of the effect. The present invention presents a new configuration and operation regime that enhances the synchronization of micro- and nano-mechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.

Inventors:
; ; ; ; ;
Issue Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1439588
Patent Number(s):
9,966,966
Application Number:
15/001,740
Assignee:
UChicago Argonne, LLC (Chicago, IL) ANL
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Patent
Resource Relation:
Patent File Date: 2016 Jan 20
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Czaplewski, David A., Lopez, Omar, Guest, Jeffrey R., Antonio, Dario, Arroyo, Sebastian I., and Zanette, Damian H. Nonlinearity induced synchronization enhancement in mechanical oscillators. United States: N. p., 2018. Web.
Czaplewski, David A., Lopez, Omar, Guest, Jeffrey R., Antonio, Dario, Arroyo, Sebastian I., & Zanette, Damian H. Nonlinearity induced synchronization enhancement in mechanical oscillators. United States.
Czaplewski, David A., Lopez, Omar, Guest, Jeffrey R., Antonio, Dario, Arroyo, Sebastian I., and Zanette, Damian H. Tue . "Nonlinearity induced synchronization enhancement in mechanical oscillators". United States. https://www.osti.gov/servlets/purl/1439588.
@article{osti_1439588,
title = {Nonlinearity induced synchronization enhancement in mechanical oscillators},
author = {Czaplewski, David A. and Lopez, Omar and Guest, Jeffrey R. and Antonio, Dario and Arroyo, Sebastian I. and Zanette, Damian H.},
abstractNote = {An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein, are the key determinants of the effect. The present invention presents a new configuration and operation regime that enhances the synchronization of micro- and nano-mechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {5}
}

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Works referenced in this record:

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
  • DOI: 10.1103/PhysRevLett.114.034103

Enhanced synchronization range from non-linear micromechanical oscillators
conference, June 2015

  • Czaplewski, D. A.; Antonio, D.; Guest, J. R.
  • 2015 Transducers - 2015 18th International Conference on Solid-State Sensors, Actuators and Microsystems
  • DOI: 10.1109/TRANSDUCERS.2015.7181347

Synchronization of MEMS resonators and mechanical neurocomputing
journal, January 2001

  • Hoppensteadt, F. C.; Izhikevich, E. M.
  • IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, Issue 2, p. 133-138
  • DOI: 10.1109/81.904877