A simplified He's frequency–amplitude formulation for nonlinear oscillators. Issue 1 (March 2022)

• Record Type: Journal Article
• Authors: Ren, Zi-Yin
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 41:Issue 1(2022)
• Page Start: 209
• Page End: 215
• Publication Date: 2022-03
• Subjects: He's frequency–amplitude formulation -- ancient Chinese mathematics -- nonlinear oscillators; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/14613484211030737
• Languages: English
• ISSNs: 1461-3484

Abstract

Derived from an ancient Chinese algorithm, He's frequency–amplitude formulation is an effective approach to finding an approximate solution of a nonlinear oscillator. In this article, based on He's formulation, a simplified formulation is proposed. Some nonlinear oscillators are adopted as examples to demonstrate the solving process using this simplified formulation. Through the demonstration, it can be seen that the solving process is simplified.