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Title: Bifurcation Generated Mechanical Frequency Comb

Here, we demonstrate a novel response of a nonlinear micromechanical resonator when operated in a region of strong, nonlinear mode coupling. The system is excited with a single drive signal and its response is characterized by periodic amplitude modulations that occur at timescales based on system parameters. The periodic amplitude modulations of the resonator are a consequence of nonlinear mode coupling and are responsible for the emergence of a “frequency-comb” regime in the spectral response. By considering a generic model for a 1:3 internal resonance, we demonstrate that the novel behavior results from a saddle node on an invariant circle (SNIC) bifurcation. The ability to control the operating parameters of the micromechanical structures reported here makes the simple micromechanical resonator an ideal test bed to study the dynamic response of SNIC behavior demonstrated in mechanical, optical, and biological systems.
Authors:
 [1] ;  [1] ;  [1] ;  [2] ;  [3] ;  [4] ;  [5]
  1. Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Ben-Gurion Univ. of the Negev, Beer-sheva (Israel)
  3. Chalmers Univ. of Technology, Goteborg (Sweden)
  4. Michigan State Univ., East Lansing, MI (United States)
  5. Florida Institute of Technology, Melbourne, FL (United States)
Publication Date:
Grant/Contract Number:
AC02-06CH11357
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org:
National Science Foundation (NSF); USDOE Office of Science (SC); Swedish Research Council (SRC)
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION; 42 ENGINEERING
OSTI Identifier:
1488453
Alternate Identifier(s):
OSTI ID: 1486906

Czaplewski, David A., Chen, Changyao, Lopez, Daniel, Shoshani, Oriel, Eriksson, Axel M., Strachan, Scott, and Shaw, Steven W.. Bifurcation Generated Mechanical Frequency Comb. United States: N. p., Web. doi:10.1103/PhysRevLett.121.244302.
Czaplewski, David A., Chen, Changyao, Lopez, Daniel, Shoshani, Oriel, Eriksson, Axel M., Strachan, Scott, & Shaw, Steven W.. Bifurcation Generated Mechanical Frequency Comb. United States. doi:10.1103/PhysRevLett.121.244302.
Czaplewski, David A., Chen, Changyao, Lopez, Daniel, Shoshani, Oriel, Eriksson, Axel M., Strachan, Scott, and Shaw, Steven W.. 2018. "Bifurcation Generated Mechanical Frequency Comb". United States. doi:10.1103/PhysRevLett.121.244302.
@article{osti_1488453,
title = {Bifurcation Generated Mechanical Frequency Comb},
author = {Czaplewski, David A. and Chen, Changyao and Lopez, Daniel and Shoshani, Oriel and Eriksson, Axel M. and Strachan, Scott and Shaw, Steven W.},
abstractNote = {Here, we demonstrate a novel response of a nonlinear micromechanical resonator when operated in a region of strong, nonlinear mode coupling. The system is excited with a single drive signal and its response is characterized by periodic amplitude modulations that occur at timescales based on system parameters. The periodic amplitude modulations of the resonator are a consequence of nonlinear mode coupling and are responsible for the emergence of a “frequency-comb” regime in the spectral response. By considering a generic model for a 1:3 internal resonance, we demonstrate that the novel behavior results from a saddle node on an invariant circle (SNIC) bifurcation. The ability to control the operating parameters of the micromechanical structures reported here makes the simple micromechanical resonator an ideal test bed to study the dynamic response of SNIC behavior demonstrated in mechanical, optical, and biological systems.},
doi = {10.1103/PhysRevLett.121.244302},
journal = {Physical Review Letters},
number = 24,
volume = 121,
place = {United States},
year = {2018},
month = {12}
}

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