Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator

Roszaidi Ramlan; Michael J. Brennan; Ivana Kovacic; Brian R. Mace; Steve Burrow

doi:10.1016/j.cnsns.2016.01.017

Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator

Roszaidi Ramlan, Michael J. Brennan, Ivana Kovacic, Brian R. Mace, Steve Burrow

Research output: Contribution to journal › Article (Academic Journal) › peer-review

19 Citations (Scopus)

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Abstract

This work concerns the application of certain non-linear phenomena – jump frequencies in a base-excited Duffing oscillator – to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the damping ratio and the cubic stiffness coefficient. Then, experimental results, together with the results of numerical simulations, are presented to show how knowledge of these frequencies can be exploited.

Original language	English
Pages (from-to)	282-291
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	37
Early online date	27 Jan 2016
DOIs	https://doi.org/10.1016/j.cnsns.2016.01.017
Publication status	Published - Aug 2016

Keywords

Duffing oscillator
Base excitation
Jumps
Cubic stiffness coefficient
Viscous damping coefficient

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10.1016/j.cnsns.2016.01.017

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://www.sciencedirect.com/science/article/pii/S1007570416300041 . Please refer to any applicable terms of use of the publisher.
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Professor Steve G Burrow
- Stephen.Burrowbristol.acuk
- School of Civil, Aerospace and Design Engineering - Professor of Aircraft Systems
- Dynamics and Control
- Cabot Institute for the Environment
- Electrical Energy Management
Person: Academic , Member

Cite this

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title = "Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator",

abstract = "This work concerns the application of certain non-linear phenomena – jump frequencies in a base-excited Duffing oscillator – to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the damping ratio and the cubic stiffness coefficient. Then, experimental results, together with the results of numerical simulations, are presented to show how knowledge of these frequencies can be exploited.",

keywords = "Duffing oscillator, Base excitation, Jumps, Cubic stiffness coefficient, Viscous damping coefficient",

author = "Roszaidi Ramlan and Brennan, {Michael J.} and Ivana Kovacic and Mace, {Brian R.} and Steve Burrow",

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AU - Ramlan, Roszaidi

AU - Brennan, Michael J.

AU - Kovacic, Ivana

AU - Mace, Brian R.

AU - Burrow, Steve

PY - 2016/8

Y1 - 2016/8

N2 - This work concerns the application of certain non-linear phenomena – jump frequencies in a base-excited Duffing oscillator – to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the damping ratio and the cubic stiffness coefficient. Then, experimental results, together with the results of numerical simulations, are presented to show how knowledge of these frequencies can be exploited.

AB - This work concerns the application of certain non-linear phenomena – jump frequencies in a base-excited Duffing oscillator – to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the damping ratio and the cubic stiffness coefficient. Then, experimental results, together with the results of numerical simulations, are presented to show how knowledge of these frequencies can be exploited.

KW - Duffing oscillator

KW - Base excitation

KW - Jumps

KW - Cubic stiffness coefficient

KW - Viscous damping coefficient

U2 - 10.1016/j.cnsns.2016.01.017

DO - 10.1016/j.cnsns.2016.01.017

M3 - Article (Academic Journal)

SN - 1007-5704

VL - 37

SP - 282

EP - 291

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator

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Professor Steve G Burrow

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