Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators

Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators

To solve the nonlinear vibration problems of second- and third-order nonlinear oscillators, a modified harmonic balance method (HBM) is developed in this paper. In the linearized technique, we decompose the nonlinear terms of the governing equation on two sides via a constant weight factor; then, th...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
strongly nonlinear oscillators
analytic periodic solution
harmonic balance method
jerk equation
Duffing equation
Online Access:https://www.mdpi.com/2227-7390/13/1/162
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