Linearly Perturbed Frequency Equation, New Frequency Formula, and a Linearized Galerkin Method for Nonlinear Vibrational Oscillators

A new frequency–amplitude formula by improving an ancient Chinese mathematics method results in a modification of He’s formula. The Chinese mathematics method that expresses via a fixed-point Newton form is proven to be equivalent to the original nonlinear frequency equation. We modify the fixed-poi...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Chia-Cheng Tsai, Chih-Wen Chang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Vibration
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Online Access:https://www.mdpi.com/2571-631X/8/2/16
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