Amplitude–frequency relationship to a fractional Duffing oscillator arising in microphysics and tsunami motion. Issue 3 (December 2019)

• Record Type: Journal Article
• Authors: Wang, Yan; An, Jian-Ye
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 38:Issue 3/4(2019)
• Page Start: 1008
• Page End: 1012
• Publication Date: 2019-12
• Subjects: Fractional calculus -- variational iteration method -- Duffing equation -- fractional complex transform; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348418795813
• Languages: English
• ISSNs: 1461-3484

Abstract

Fractional oscillators can effectively deal with noise in the vibration. This paper adopts He's fractional derivative, which is defined through the variational iteration algorithm. Ji-Huan He's amplitude–frequency formulation is used to solve the fractional Duffing equation.