The periodic solution of a pendulum under magnetic action

A pendulum system is widely used for vibration attenuation and energy harvesting. This paper considers a pendulum under the attraction of double magnets. The governing equation is obtained by Newton’s second law, and it is simplified to Duffing–Holmes oscillator. Its approximate periodic solution wi...

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Bibliographic Details
Main Authors: Hongjin Ma, Weiwei Zhang
Format: Article
Language:English
Published: SAGE Publishing 2023-03-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/14613484221122093
Description
Summary:A pendulum system is widely used for vibration attenuation and energy harvesting. This paper considers a pendulum under the attraction of double magnets. The governing equation is obtained by Newton’s second law, and it is simplified to Duffing–Holmes oscillator. Its approximate periodic solution with a good accuracy is obtained with easy by Ji-Huan He’s frequency formulation.
ISSN:1461-3484
2048-4046