TY - JOUR
TI - Local fractional damped non-linear oscillation: Frequency estimation and energy consumption
AU - Yang Yong-Ju
AU - Han Guo-Li
AU - Yuan Yu-Zhuo
JN - Thermal Science
PY - 2024
VL - 28
IS - 3
SP - 2143
EP - 2151
PT - Article
AB - 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.