Bifurcation Generated Mechanical Frequency Comb
Journal article, 2018

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 13 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.

Amplitude modulation

Electromechanical devices

Bifurcation (mathematics)


David A. Czaplewski

Argonne National Laboratory

Changyao Chen

Argonne National Laboratory

Daniel Lopez

Argonne National Laboratory

Oriel Shoshani

Ben-Gurion University of the Negev

Martin Eriksson

Chalmers, Physics, Condensed Matter Theory

Scott Strachan

Michigan State University

Steven W. Shaw

Florida Institute of Technology

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 121 24 244302

Subject Categories

Applied Mechanics

Other Physics Topics

Other Electrical Engineering, Electronic Engineering, Information Engineering



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