Period/frequency estimation of a nonlinear oscillator. Issue 3 (December 2019)

• Record Type: Journal Article
• Authors: Tian, Dan; Liu, Zhi
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 38:Issue 3/4(2019)
• Page Start: 1629
• Page End: 1634
• Publication Date: 2019-12
• Subjects: Nonlinear oscillators -- Duffing equation -- amplitude-period formula; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348418756013
• Languages: English
• ISSNs: 1461-3484

Abstract

Fast estimation of a nonlinear oscillator is very much needed in engineering, the perturbation method is valid only for weakly nonlinear oscillators. This paper gives some simple formula for this purpose, only simple calculation is needed to have a relatively high accuracy of the estimated frequency.