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Feng Ren

NON-LINEAR OSCILLATION OF A MASS ATTACHED TO A STRETCHED ELASTIC WIRE IN A FRACTAL SPACE

ABSTRACT
The challenge for a non-linear vibration system in a fractal space is more fractal dimensions than frequency-amplitude relationship, the system energy consumption depends upon its fractal property, so its best-case scenario is to establish a relationship among the fractal dimensions, frequency and amplitude. For this purpose, this paper studies a fractal-fractional vibration system of a mass attached to a stretched elastic wire in a fractal space, and its asymptotic periodic property is elucidated, the effect of the fractal dimensions on the vibration system is discussed. This paper offers a new road to fast and reliable analysis of fractal oscillators with high accuracy.
KEYWORDS
fractals calculus, mechanical engineering, frequency formulation, Two-scale transform method, non-linear oscillator
PAPER SUBMITTED: 2023-02-20
PAPER REVISED: 2023-05-21
PAPER ACCEPTED: 2023-05-24
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403165R
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2165 - 2169]
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Non-linear oscillation of a mass attached to a stretched elastic wire in a fractal space

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