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

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

doi:10.1007/s11071-019-05194-0

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

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

Department of Mechanical Engineering

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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 language	American English
Pages (from-to)	433-443
Number of pages	11
Journal	Nonlinear Dynamics
Volume	99
Issue number	1
DOIs	https://doi.org/10.1007/s11071-019-05194-0
State	Published - 1 Jan 2020

Keywords

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

All Science Journal Classification (ASJC) codes

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

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10.1007/s11071-019-05194-0

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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.",

keywords = "Nano- and micro-electromechanical systems, Nonlinear resonators, Tuning resonator characteristics",

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AU - Shoshani, Oriel

AU - Dykman, Mark I.

AU - Shaw, Steven W.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

KW - Nano- and micro-electromechanical systems

KW - Nonlinear resonators

KW - Tuning resonator characteristics

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U2 - 10.1007/s11071-019-05194-0

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JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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