THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Yong-Ju Yang

,

Guo-Li Han

,

Liu-Qing Hua

LOCAL FRACTIONAL DUFFING EQUATION: ITS PERIODIC PROPERTY AND ITS APPLICATION TO ENERGY HARVESTING

ABSTRACT
A local fractional modification of the Duffing equation is considered, and the homotopy perturbation method is employed to reveal its frequency-amplitude relationship, which is of paramount importance in the optimal design of the energy harvesting devices and chatter detection. Effects of the initial conditions on the periodic property is also discussed.
KEYWORDS
Duffing equation, homotopy perturbation method, chatter signal
PAPER SUBMITTED: 2022-04-06
PAPER REVISED: 2023-05-19
PAPER ACCEPTED: 2023-05-19
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403135Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2135 - 2142]
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Local fractional Duffing equation: Its periodic property and its application to energy harvesting

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence