Tuning linear and nonlinear characteristics of a resonator via nonlinear interaction with a secondary resonator

Oriel Shoshani, Mark I. Dykman, Steven W. Shaw

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We conside the dynamics of a nonlinear resonator that is nonlinearly coupled to a linear resonator that has a relatively short decay time. In this case, the secondary (linear) resonator adiabatically tracks the primary (nonlinear) resonator. This model, which is motivated by ongoing experimental work in nano-resonators, is analyzed analytically and numerically to show that the linear and nonlinear characteristics of the primary resonator can be altered in a significant manner by the coupling to the secondary resonator. Such an arrangement may provide a practical means of tuning resonator characteristics in applications.

Original languageEnglish
Pages (from-to)433-443
Number of pages11
JournalNonlinear Dynamics
Volume99
Issue number1
DOIs
StatePublished - 1 Jan 2020

Keywords

  • Nano- and micro-electromechanical systems
  • Nonlinear resonators
  • Tuning resonator characteristics

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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