The homotopy perturbation method for a nonlinear oscillator with a damping

The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.

Bibliographic Details
Main Authors: Shaowen Yao, Zhibo Cheng
Format: Article
Language:English
Published: SAGE Publishing 2019-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348419836344
Description
Summary:The homotopy perturbation method is extended to solve nonlinear oscillators with damping terms, and an explicit relationship between the frequency and amplitude is obtained, the main factor affecting the periodic property is revealed.
ISSN:1461-3484
2048-4046