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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 Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1439588
Patent Number(s):
9966966
Application Number:
15/001,740
Assignee:
UChicago Argonne, LLC (Chicago, IL)
Patent Classifications (CPCs):
G - PHYSICS G01 - MEASURING G01C - MEASURING DISTANCES, LEVELS OR BEARINGS
H - ELECTRICITY H03 - BASIC ELECTRONIC CIRCUITRY H03B - GENERATION OF OSCILLATIONS, DIRECTLY OR BY FREQUENCY-CHANGING, BY CIRCUITS EMPLOYING ACTIVE ELEMENTS WHICH OPERATE IN A NON-SWITCHING MANNER
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 = {Tue May 08 00:00:00 EDT 2018},
month = {Tue May 08 00:00:00 EDT 2018}
}

Works referenced in this record:

Timing oscillators and related methods
patent, October 2011


Nanomechanical oscillator
patent, November 2011


Oscillation detector
patent, November 2013


Micromechanical resonator
patent, May 2014


Micromechanical sensor having a bandpass characteristic
patent, June 2014


Coupled timing oscillators
patent, February 2015


Timing Oscillators and Related Methods
patent-application, October 2009


Circuitry and Method for Precision Amplitude Control in Quartz and MEMS Oscillators
patent-application, August 2012


MEMS Oscillators
patent-application, June 2014


Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators
journal, January 2015


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


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
  • https://doi.org/10.1109/81.904877