Bifurcation Generated Mechanical Frequency Comb

Czaplewski, David A.; Chen, Changyao; Lopez, Daniel; Shoshani, Oriel; Eriksson, Axel M.; Strachan, Scott; Shaw, Steven W.

doi:10.1103/PhysRevLett.121.244302

Title: Bifurcation Generated Mechanical Frequency Comb

Journal Article · Fri Dec 14 00:00:00 EST 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.244302· OSTI ID:1488453

Czaplewski, David A. ^[1]; Chen, Changyao ^[1]; Lopez, Daniel ^[1]; Shoshani, Oriel ^[2]; Eriksson, Axel M. ^[3]; Strachan, Scott ^[4]; Shaw, Steven W. ^[5]

Argonne National Lab. (ANL), Lemont, IL (United States)
Ben-Gurion Univ. of the Negev, Beer-sheva (Israel)
Chalmers Univ. of Technology, Goteborg (Sweden)
Michigan State Univ., East Lansing, MI (United States)
Florida Institute of Technology, Melbourne, FL (United States)

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.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC); Swedish Research Council (SRC)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1488453

Alternate ID(s):: OSTI ID: 1486906

Journal Information:: Physical Review Letters, Vol. 121, Issue 24; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 48 works

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Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance Czaplewski, David A.; Strachan, Scott; Shoshani, Oriel Applied Physics Letters, Vol. 114, Issue 25 https://doi.org/10.1063/1.5099459	journal	June 2019
Demonstration of Multiple Internal Resonances in a Microelectromechanical Self-Sustained Oscillator Houri, S.; Hatanaka, D.; Asano, M. Physical Review Applied, Vol. 13, Issue 1 https://doi.org/10.1103/physrevapplied.13.014049	journal	January 2020

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