A complement to period/frequency estimation of a nonlinear oscillator

Chun Hui He; Jian Hong Wang; Shao Wen Yao

doi:10.1177/1461348418822162

A complement to period/frequency estimation of a nonlinear oscillator

Chun Hui He
, Jian Hong Wang
, Shao Wen Yao^*

^*Corresponding author for this work

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

27 Citations (Scopus)

Abstract

A fast estimation of periodic properties of a nonlinear oscillator is much needed as pointed out by Tian and Liu in their review article (Tian D and Liu Z, Journal of Low Frequency Noise, Vibration & Active Control, https://doi.org/10.1177/1461348418756013). Although a relatively high accuracy can be achieved, there is no way to continue the solution process to obtain any accuracy of a solution. This paper suggests an effective modification so that any accurate frequency can be obtained.

Original language	English
Pages (from-to)	992-995
Number of pages	4
Journal	Journal of Low Frequency Noise Vibration and Active Control
Volume	38
Issue number	3-4
DOIs	https://doi.org/10.1177/1461348418822162
Publication status	Published - 1 Dec 2019
Externally published	Yes

Keywords

Duffing equation
He’s frequency–amplitude formulation
Nonlinear oscillator
periodic solution

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10.1177/1461348418822162

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AU - Wang, Jian Hong

AU - Yao, Shao Wen

N1 - Publisher Copyright: © The Author(s) 2019.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - A fast estimation of periodic properties of a nonlinear oscillator is much needed as pointed out by Tian and Liu in their review article (Tian D and Liu Z, Journal of Low Frequency Noise, Vibration & Active Control, https://doi.org/10.1177/1461348418756013). Although a relatively high accuracy can be achieved, there is no way to continue the solution process to obtain any accuracy of a solution. This paper suggests an effective modification so that any accurate frequency can be obtained.

AB - A fast estimation of periodic properties of a nonlinear oscillator is much needed as pointed out by Tian and Liu in their review article (Tian D and Liu Z, Journal of Low Frequency Noise, Vibration & Active Control, https://doi.org/10.1177/1461348418756013). Although a relatively high accuracy can be achieved, there is no way to continue the solution process to obtain any accuracy of a solution. This paper suggests an effective modification so that any accurate frequency can be obtained.

KW - Duffing equation

KW - He’s frequency–amplitude formulation

KW - Nonlinear oscillator

KW - periodic solution

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JF - Journal of Low Frequency Noise Vibration and Active Control

IS - 3-4

ER -

A complement to period/frequency estimation of a nonlinear oscillator

Abstract

Keywords

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