A short remark on the nonlinear oscillator with a damping term. Issue 2 (June 2021)

• Record Type: Journal Article
• Authors: Yao, Shaowen; Cheng, Zhibo
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 40:Issue 2(2021)
• Page Start: 1091
• Page End: 1095
• Publication Date: 2021-06
• Subjects: Semi-inverse method -- variational principle -- dissipative energy -- Taylor series method -- He's frequency formulation; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348420917244
• Languages: English
• ISSNs: 1461-3484

Abstract

A nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method. The dissipative energy involved in the variational formulation can be explained by the two-scale thermodynamics. Taylor series method is used to solve its frequency-amplitude relation.