Thermal Science

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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 No. 3, PAGES [2165 - 2169]

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Non-linear oscillation of a mass attached to a stretched elastic wire in a fractal space

© 2026 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