Modified variational iteration method for analytical solutions of nonlinear oscillators. Issue 3 (December 2019)

• Record Type: Journal Article
• Authors: He, Wei; Kong, Hua; Qin, Yan-Mei
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 38:Issue 3/4(2019)
• Page Start: 1178
• Page End: 1183
• Publication Date: 2019-12
• Subjects: Nonlinear oscillator -- variational iteration method -- integral equations -- Adomian polynomials; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/1461348418784817
• Languages: English
• ISSNs: 1461-3484

Abstract

The second-order nonlinear oscillators have rich dynamics. We proposed a novel analytical method based on both variational iteration method and Adomian method. The variational iteration method is used to establish an equivalent integral system. So then Adomian polynomials are adopted to linearize the strong nonlinear terms in nonlinear oscillators and analytical solutions are obtained successively.