Cited by Lee Sonogan
Abstract by Ismot A Yeasmin, MS Rahman, MS Alam
Recently, an analytical solution of a quadratic nonlinear oscillator has been presented based on the harmonic balance method. By introducing a small parameter, a set of nonlinear algebraic equations have been solved which usually appear among unknown coefficients of several harmonic terms. But the method is not suitable for all quadratic oscillators. Earlier, introducing a small parameter to the frequency series, Cheung et al. modified the Lindstedt–Poincare method and used it to solve strong nonlinear oscillators including a quadratic oscillator. But due to some limitations of both parameters, a changed form of frequency-related parameter (introduced by Cheung et al.) has been presented for solving various quadratic oscillators.
Publication: Journal of Low Frquency Noise, Vibration and Active Control (Peer-Reviewed Journal)
Pub Date: Dec 13, 2020 Doi: https://doi.org/10.1177/1461348420979758
Keywords: Harmonic balance, variational method, nonlinear oscillations, forced vibration
https://journals.sagepub.com/doi/full/10.1177/1461348420979758 (Plenty more sections and references in this research paper)