Solution of a quadratic nonlinear oscillator by the method of harmonic balance
From MaRDI portal
Publication:2899249
DOI10.1016/j.jsv.2005.10.002zbMath1243.34048OpenAlexW2079680098MaRDI QIDQ2899249
Publication date: 28 July 2012
Published in: Journal of Sound and Vibration (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsv.2005.10.002
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)
Related Items (19)
FEED FORWARD RESIDUE HARMONIC BALANCE METHOD FOR A QUADRATIC NONLINEAR OSCILLATOR ⋮ The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators ⋮ Periodic solutions for certain non-smooth oscillators by iterated homotopy perturbation method combined with~modified Lindstedt-Poincaré technique ⋮ On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators ⋮ Approximate periodic solutions for the Helmholtz-Duffing equation ⋮ An analytical technique for solving a class of strongly nonlinear conservative systems ⋮ Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator ⋮ Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method ⋮ Harmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ring ⋮ Limit cycles of non-smooth oscillators ⋮ Approximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance method ⋮ Homotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillator ⋮ Approximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation method ⋮ On nonlinear oscillation response of a negatively dissipated oscillator and its analogy to long Josephson junction ⋮ Application of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillator ⋮ Solution for the nonlinear relativistic harmonic oscillator via Laplace-Adomian decomposition method ⋮ Forced response of quadratic nonlinear oscillator: comparison of various approaches ⋮ APPROXIMATE ANALYTICAL SOLUTIONS FOR THE RELATIVISTIC OSCILLATOR USING A LINEARIZED HARMONIC BALANCE METHOD ⋮ Solution of nonlinear cubic-quintic Duffing oscillators using He's energy balance method
This page was built for publication: Solution of a quadratic nonlinear oscillator by the method of harmonic balance