THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Yong-Ju Yang

,

Guo-Li Han

,

Yu-Zhuo Yuan

LOCAL FRACTIONAL DAMPED NON-LINEAR OSCILLATION: FREQUENCY ESTIMATION AND ENERGY CONSUMPTION

ABSTRACT
This paper studies a local fractional vibration system with a damped non-linear term to reveal its frequency property and its energy consumption. A modification of He's frequency formulation is recommended for this purpose. Some examples are given to illustrate the solving process and the reliability of the method. Additionally, the effect of the initial conditions on the vibrating properties is elucidated. This paper offers a new window for fast and effective insight into local fractional vibration systems.
KEYWORDS
local fractional derivative, singular oscillator, tangent oscillator, non-conservative system
PAPER SUBMITTED: 2023-04-06
PAPER REVISED: 2023-05-19
PAPER ACCEPTED: 2023-05-19
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403143Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2143 - 2151]
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Local fractional damped non-linear oscillation: Frequency estimation and energy consumption

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